Publications

Under review

  1. Zeynab Kaseb, Matthias Möller, Peter Palensky, and Pedro P. Vergara. A framework for solving continuous energy and power system problems using adiabatic quantum computing, 2025. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 0 )
  2. Koen Mesman, Yinglu Tang, Matthias Möller, Boyang Chen, and Sebastian Feld. NN-AE-VQE: Neural network parameter prediction on autoencoded variational quantum eigensolvers, 2024. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 1 )

Preprints

  1. Trong Duong, Matthias Möller, and Norbert Hosters. Quantum lattice Boltzmann with denoising collision operators, 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 0 )
  2. Călin A. Georgescu and Matthias Möller. Efficient and expressive boundary conditions in quantum lattice Boltzmann methods, 2026. [ arXiv | http | bib ] 
  3. Monica Lăcătuş, Matthias Möller, and Sauro Succi. Reduced basis algorithm for solving nonlinear differential equations on quantum computers, 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 0 )
  4. Jingya Li, Ye Ji, Hugo Verhelst, Henk den Besten, and Matthias Möller. Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction, 2026. [ arXiv | http | bib ] 
  5. Swapan Madabhushi Venkata, Arne Wulff, Boyang Chen, Roeland De Breuker, Sebastian Feld, Matthias Möller, and Yinglu Tang. Determining feasibility bounds of lamination parameters using neural networks. In Heinz E. Pettermann, Clara Schuecker, and Martin Fagerström, editors, Composites 2025: Book of Abstracts: 10th ECCOMAS Thematic Conference on the Mechanical Response of Composites, page 95, 2026. One-page conference abstract. Conference held 9--11 September 2025 in Vienna; the TU Wien repository dates publication of the abstract book to 2026. Book DOI: 10.34726/11919. [ http | bib ] 
  6. Koen Mesman, Yinglu Tang, Matthias Moller, Boyang Chen, and Sebastian Feld. MOSAIQC: Mixed-topology-aware optimization for scalable approximate noise-informed quantum circuit cutting, 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 0 )
  7. Yannis Voet, Matthias Möller, Pablo Antolin, and Cornelis Vuik. Deflation-based preconditioning for immersed finite element methods and immersogeometric analysis, 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 0 )
  8. Arne Wulff, Swapan Madabhushi Venkata, Boyang Chen, Yinglu Tang, Matthias Möller, and Sebastian Feld. Quantum-assisted stacking sequence retrieval and laminated composite design. In Heinz E. Pettermann, Clara Schuecker, and Martin Fagerström, editors, Composites 2025: Book of Abstracts: 10th ECCOMAS Thematic Conference on the Mechanical Response of Composites, page 20, 2026. One-page conference abstract. Conference held 9--11 September 2025 in Vienna; the TU Wien repository dates publication of the abstract book to 2026. Book DOI: 10.34726/11919. [ http | bib ] 
  9. Călin A. Georgescu and Matthias Möller. Quantum search in superposed quantum lattice gas automata and lattice Boltzmann systems, 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 0 )
  10. Zeynab Kaseb, Matthias Möller, Peter Palensky, and Pedro P. Vergara. Performance comparison of gate-based and adiabatic quantum computing for ac power flow problem, 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 0 )
  11. Zeynab Kaseb, Matthias Möller, Pedro P. Vergara, and Peter Palensky. Quantum-enhanced power flow and optimal power flow based on combinatorial reformulation, 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 1 )
  12. Zeynab Kaseb, Matthias Moller, Lindsay Spoor, Jerry J. Guo, Yu Xiang, Peter Palensky, and Pedro P. Vergara. Quantum-enhanced reinforcement learning for accelerating Newton-Raphson convergence with Ising machines: A case study for power flow analysis, 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 2 )
  13. Hugo M. Verhelst, Angelos Mantzaflaris, and Matthias Möller. Isogeometric multi-patch shell analysis using the Geometry + Simulation Modules, 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 0 )
  14. Ye Ji, Monica Lăcătus, and Matthias Möller. IGA-LBM: Isogeometric lattice Boltzmann method, 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 1 )
  15. Giorgio Tosti Balducci, Boyang Chen, Matthias Möller, and Roeland De Breuker. Solving 1d Poisson problem with a variational quantum linear solver, 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 2 )
  16. Arne Wulff, Swapan Madabhushi Venkata, Boyang Chen, Sebastian Feld, Matthias Möller, and Yinglu Tang. Quantum-assisted stacking sequence retrieval and laminated composite design, 2024. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 0 | Scholar 0 )
  17. Kewang Chen, Ye Ji, Matthias Möller, and Cornelis Vuik. A short report on preconditioned Anderson acceleration method, 2023. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 2 )
  18. Huub Donkers, Koen Mesman, Zaid Al-Ars, and Matthias Möller. QPack scores: Quantitative performance metrics for application-oriented quantum computer benchmarking, 2022. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 6 | Scholar 22 )
  19. Jie Liu, Henk M. Schuttelaars, and Matthias Möller. A practical algorithm to minimize the overall error in FEM computations, 2022. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 0 )
  20. Koen Mesman, Zaid Al-Ars, and Matthias Möller. QPack: Quantum approximate optimization algorithms as universal benchmark for quantum computers, 2021. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 1 )
  21. Jochen Hinz, Michael Abdelmalik, and Matthias Möller. Goal-oriented adaptive THB-spline schemes for PDE-based planar parameterization, 2020. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 2 )
  22. Jochen Hinz, Joost van Zwieten, Matthias Möller, and Fred Vermolen. Isogeometric analysis of the Gray-Scott reaction-diffusion equations for pattern formation on evolving surfaces and applications to human gyrification, 2019. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 1 )

Books

  1. Harald van Brummelen, Cornelis Vuik, Matthias Möller, Clemens Verhoosel, Bernd Simeon, and Bert Jüttler, editors. Isogeometric Analysis and Applications 2018, volume 133 of Lecture Notes in Computational Science and Engineering. Springer, 2021. [ DOI | http | bib ] ( citation counts in OpenAlex 16 | Scholar 4 )

Book chapters

  1. Ye Ji, Matthias Möller, and Hugo H. M. Verhelst. Design Through Analysis, pages 303--368. Springer International Publishing, November 2023. [ DOI | http | bib ] ( citation counts in OpenAlex 0 )
  2. Matthias Möller, Deepesh Toshniwal, and Frank van Ruiten. Physics-informed machine learning embedded into isogeometric analysis. In Mathematics: Key enabling technology for scientific machine learning. Platform Wiskunde, 2021. [ http | bib ] 
  3. Babak Sayyid Hosseini and Matthias Möller. Phase Field-Based Incompressible Two-Component Liquid Flow Simulation, page 165–176. Springer International Publishing, 2020. [ DOI | http | bib ] ( citation counts in OpenAlex 1 | Scopus 0 | Scholar 1 )
  4. Wojciech T. Solowski, Martin Berzins, William M. Coombs, James E. Guilkey, Matthias Möller, Quoc Anh Tran, Tito Adibaskoro, Seyedmohammadjavad Seyedan, Roel P.W.M. Tielen, and Kenichi Soga. chapter Material Point Method: Overview and challenges ahead. Advances in Applied Mechanics book series. Elsevier, 2021. [ DOI | http | bib ] ( citation counts in OpenAlex 54 | Scopus 58 | Scholar 41 )
  5. Elizaveta D. Wobbes, Roel Tielen, Matthias Möller, and Cornelis Vuik. Recent developments to improve the numerical accuracy. In James Fern, Alexander Rohe, Kenichi Soga, and Eduardo Alonso, editors, The Material Point Method for Geotechnical Engineering, pages 67--88. CRC Press, jan 2019. [ DOI | http | bib ] ( citation counts in OpenAlex 141 | Scholar 56 )
  6. Dominik Göddeke, Dimitri Komatitsch, and Matthias Möller. Finite and spectral element methods on unstructured grids for flow and wave propagation problems. In Numerical Computations with GPUs, pages 183--206. Springer International Publishing, 2014. [ DOI | http | bib ] ( citation counts in OpenAlex 9 | Scopus 11 | Scholar 11 )
  7. Stefan Turek, Matthias Möller, Mudassar Razzaq, and Ludmilla Rivkind. Efficient simulation and optimization of rotationally symmetric, converging-diverging de Laval nozzles for twin wire arc spraying. In Wolfgang Tillmann and Ingor Baumann, editors, 6. Öffentliches Kolloquium - SFB 708, SFB 708, pages 153--166. Verlag Praxiswissen, 2013| bib ] 
  8. Christian Kühbacher, Matthias Möller, and Stefan Turek. Ein dG-FEM-Verfahren zur Lösung der Konvektions-Diffusionsgleichung mit Hilfe von Mehrgitterverfahren. In Wolfgang Tillmann and Jens Nebel, editors, 5. Öffentliches Kolloquium - SFB 708, SFB 708, pages 135--144. Verlag Praxiswissen, 2012| bib ] 
  9. Dmitri Kuzmin, Matthias Möller, and Marcel Gurris. Algebraic flux correction II. In Flux-Corrected Transport, pages 193--238. Springer Netherlands, 2012. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 55 )
  10. Matthias Möller, Christian Kühbacher, and Stefan Turek. Ein implizites DG-FEM-Verfahren zur Lösung der kompressiblen Eulergleichungen. In Wolfgang Tillmann and Jens Nebel, editors, 4. Öffentliches Kolloquium - SFB 708, SFB 708, pages 139--148. Verlag Praxiswissen, 2011| bib ] 
  11. Marcel Gurris, Raphael Münster, Zai Cui, Stefan Turek, Matthias Möller, Dmitri Kuzmin, and Otto Mierka. Effiziente FEM Techniken bei Beschichtungsvorgängen mittels thermischer Spritztechnik. In Wolfgang Tillmann and Jens Nebel, editors, 3. Öffentliches Kolloquium - SFB 708, SFB 708, pages 117--130. Verlag Praxiswissen, 2010| bib ] 
  12. Dmitri Kuzmin and Matthias Möller. Algebraic flux correction I. Scalar conservation laws. In Flux-Corrected Transport, pages 155--206. Springer-Verlag, 2005. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 120 | Scholar 170 )
  13. Dmitri Kuzmin and Matthias Möller. Algebraic flux correction II. Compressible Euler equations. In Flux-Corrected Transport, pages 207--250. Springer-Verlag, 2005. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 35 | Scholar 47 )

Peer-reviewed articles

  1. Giorgio Tosti Balducci, Boyang Chen, Matthias Möller, Marc Gerritsma, and Roeland De Breuker. Predicting open-hole laminates failure using support vector machines with classical and quantum kernels. Acta Mechanica Sinica, 42(6), March 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 2 | Scopus 1 | Scholar 5 )
  2. Jingyi Cao, Ye Ji, Matthias Möller, and Chungang Zhu. Extended r-adaptive isogeometric analysis for weak-discontinuous problems. Computer-Aided Design, 198:104108, 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scopus 0 | Scholar 0 )
  3. Luca Hofstadler, Catalin Gavriluta, Jochen Stiasny, Matthias Möller, Carsten Hartmann, Andrea Benigni, and Jochen Lorenz Cremer. A compact QUBO formulation for solving transmission expansion planning. Electric Power Systems Research, 262:113655, January 2027. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scopus 0 | Scholar 0 )
  4. Zeynab Kaseb, Rahul Rane, Aleksandra Lekić, Matthias Möller, Amin Khodaei, Peter Palensky, and Pedro P. Vergara. Quantum hardware-in-the-loop for optimal power flow in renewable-integrated power systems. IEEE Transactions on Power Systems, page 1–11, 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scopus 0 | Scholar 3 )
  5. Jing-Ya Li, Hugo M. Verhelst, Henk den Besten, and Matthias Möller. Isogeometric suitable coupling methods for partitioned multiphysics simulation with application to fluid–structure interaction. Engineering with Computers, 42(2), March 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 2 | Scopus 1 | Scholar 2 )
  6. Matthias Möller, Günther Obermair, Isabella Singer, Christian Gollmann, Alessandro Reali, and Stefanie Elgeti. IGANets: Isogeometric analysis networks and their applications to linear structural analysis problems. Engineering with Computers, 42(3), May 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 1 | Scopus 1 | Scholar 0 )
  7. Vijai Kumar Suriyababu, Cornelis Vuik, and Matthias Möller. tgLang: A domain-specific language for geometry processing and computational imaging workflows. Journal of Imaging, 12(9):406, August 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 0 )
  8. Yang Yang, Ye Ji, Matthias Möller, and Can Ayas. Efficient thermal simulation in metal additive manufacturing via semi-analytical isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 457:118992, August 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 1 | Scopus 1 )
  9. Zeynab Kaseb, Matthias Möller, Markus Kirsch, Peter Palensky, and Pedro P. Vergara. Combinatorial power flow analysis using adiabatic quantum algorithms. In 2025 IEEE Kiel PowerTech, page 1–6. IEEE, 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scopus 0 | Scholar 2 )
  10. Vijai Kumar Suriyababu, Cornelis Vuik, and Matthias Möller. Resampling point clouds using series of local triangulations. Journal of Imaging, 11(2):49, February 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 2 | Scopus 1 | Scholar 1 )
  11. Stefan Berger, Norbert Hosters, and Matthias Möller. Trainable embedding quantum physics informed neural networks for solving nonlinear PDEs. Scientific Reports, 15(1), May 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 13 | Scopus 11 | Scholar 20 )
  12. Călin A. Georgescu, Merel A. Schalkers, and Matthias Möller. qlbm - a quantum lattice Boltzmann software framework. Computer Physics Communications, 315:109699, October 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 3 | Scopus 5 | Scholar 10 )
  13. Călin A. Georgescu, Merel A. Schalkers, and Matthias Möller. Fully quantum lattice gas automata building blocks for computational basis state encodings. Journal of Computational Physics, 549:114595, March 2026. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scopus 0 | Scholar 5 )
  14. Monica Lăcătuş and Matthias Möller. Surrogate quantum circuit design for the lattice Boltzmann collision operator. International Journal for Numerical Methods in Engineering, 127(4):e70286, 2026. [ DOI | arXiv | http | bib ] 
  15. Hugo H.M. Verhelst, Matthias Möller, and Henk J.H. Den Besten. A wrinkling model for general hyperelastic materials based on tension field theory. Computer Methods in Applied Mechanics and Engineering, 441:117955, June 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 10 | Scopus 10 )
  16. Yang Yang, Ye Ji, Matthias Möller, and Can Ayas. Computational efficient process simulation of geometrically complex parts in metal additive manufacturing. International Journal of Heat and Mass Transfer, 248:127059, September 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 3 | Scopus 3 | Scholar 3 )
  17. Călin A. Georgescu and Matthias Möller. A practical implementation of quantum lattice Boltzmann algorithms. Proceedings of the 35th Parallel CFD International Conference 2024 35th Parallel CFD International Conference 2024, ParCFD 2024:23--26 (2025). doi:10.34734/FZJ, 2025. [ DOI | http | bib ] ( citation counts in OpenAlex 0 )
  18. Merle Backmeyer, Stefan Kurz, Matthias Möller, and Sebastian Schöps. Solving electromagnetic scattering problems by isogeometric analysis with deep operator learning. In 2024 Kleinheubach Conference, pages 1--4. IEEE, September 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 3 | Scopus 5 | Scholar 3 )
  19. Alexander Heemels, Bart de Koning, Matthias Möller, and Aurèle Adam. Optimizing freeform lenses for extended sources with algorithmic differentiable ray tracing and truncated hierarchical B-splines. Optics Express, 32(6):9730, March 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 16 | Scopus 16 | Scholar 11 )
  20. Y Ji and M Möller. Yet another structured mesh generator for screw machines simulation. IOP Conference Series: Materials Science and Engineering, 1322(1):012014, December 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 0 )
  21. Ye Ji, Matthias Möller, Yingying Yu, and Chungang Zhu. Boundary parameter matching for isogeometric analysis using Schwarz-Christoffel mapping. Engineering with Computers, July 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 7 | Scopus 5 | Scholar 7 )
  22. Zeynab Kaseb, Matthias Möller, Giorgio Tosti Balducci, Peter Palensky, and Pedro P. Vergara. Quantum neural networks for power flow analysis. Electric Power Systems Research, 235:110677, October 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 23 | Scopus 23 | Scholar 32 )
  23. Zeynab Kaseb, Matthias Möller, Markus Kirsch, Peter Palensky, and Pedro P. Vergara. Adiabatic computing for power flow analysis. In 2024 IEEE International Conference on Quantum Computing and Engineering (QCE), page 543–544. IEEE, 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 1 | Scopus 1 | Scholar 1 )
  24. Zeynab Kaseb, Matthias Möller, Pedro P. Vergara, and Peter Palensky. Power flow analysis using quantum and digital annealers: a discrete combinatorial optimization approach. Scientific Reports, 14(1), October 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 10 | Scopus 16 | Scholar 20 )
  25. Koen J. Mesman, Ward van der Schoot, Matthias Möller, and Niels M. P. Neumann. QuAS: Quantum application score for benchmarking the utility of quantum computers. In 2024 IEEE International Conference on Quantum Computing and Engineering (QCE), page 921–929. IEEE, 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 4 | Scopus 3 | Scholar 5 )
  26. Wolfgang Nowak, Tim Bruennette, Merel Annelise Schalkers, and Matthias Möller. Overdispersion in gate tomography: Experiments and continuous, two-scale random walk model on the Bloch sphere. ACM Transactions on Quantum Computing, August 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 2 | Scopus 1 | Scholar 2 )
  27. Merel A. Schalkers and Matthias Möller. On the importance of data encoding in quantum Boltzmann methods. Quantum Information Processing, 23(1), January 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 20 | Scopus 20 | Scholar 31 )
  28. Merel A. Schalkers and Matthias Möller. Momentum exchange method for quantum Boltzmann methods. Computers and Fluids, 285:106453, December 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 4 | Scopus 5 | Scholar 14 )
  29. Hugo H.M. Verhelst, Henk J.H. Den Besten, and Matthias Möller. An adaptive parallel arc-length method. Computers and Structures, 296:107300, June 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 6 | Scopus 5 | Scholar 4 )
  30. Hugo H.M. Verhelst, Angelos Mantzaflaris, Matthias Möller, and Henk J.H. Den Besten. Goal-adaptive meshing of isogeometric Kirchhoff-Love shells. Engineering with Computers, March 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 7 | Scopus 4 | Scholar 6 )
  31. Arne Wulff, Boyang Chen, Matthew Steinberg, Yinglu Tang, Matthias Möller, and Sebastian Feld. Quantum computing and tensor networks for laminate design: A novel approach to stacking sequence retrieval. Computer Methods in Applied Mechanics and Engineering, 432:117380, December 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 14 | Scopus 12 | Scholar 18 )
  32. Ye Ji and Matthias Möller. Mesh Generation for Twin-Screw Compressors by Spline-Based Parameterization Using Preconditioned Anderson Acceleration, pages 77--87. Springer Nature Switzerland, 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 0 )
  33. Merel A. Schalkers and Matthias Möller. Efficient and fail-safe quantum algorithm for the transport equation. Journal of Computational Physics, 502:112816, April 2024. [ DOI | http | bib ] ( citation counts in OpenAlex 17 | Scopus 18 | Scholar 35 )
  34. Bart de Koning, Alexander Heemels, Aurele Adam, and Matthias Möller. Gradient descent-based freeform optics design for illumination using algorithmic differentiable non-sequential ray tracing. Optimization and Engineering, September 2023. [ DOI | http | bib ] ( citation counts in OpenAlex 9 | Scopus 8 | Scholar 10 )
  35. Ye Ji, Kewang Chen, Matthias Möller, and Cornelis Vuik. On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration. Computer Aided Geometric Design, 102:102191, 2023. [ DOI | http | bib ] ( citation counts in OpenAlex 16 | Scopus 14 | Scholar 18 )
  36. Vijai Kumar Suriyababu, Cornelis Vuik, and Matthias Möller. Towards a high quality shrink wrap mesh generation algorithm using mathematical morphology. Computer-Aided Design, page 103608, 2023. [ DOI | http | bib ] 
  37. Giorgio Tosti Balducci, Boyang Chen, Matthias Möller, Marc Gerritsma, and Roeland De Breuker. Review and perspectives in quantum computing for partial differential equations in structural mechanics. Frontiers in Mechanical Engineering, 8, September 2022. [ DOI | http | bib ] ( citation counts in OpenAlex 42 | Scopus 36 | Scholar 45 )
  38. Marcin Dukalski, Diego Rovetta, Stan van der Linde, Matthias Möller, Niels Neumann, and Frank Phillipson. Quantum computer-assisted global optimization in geophysics illustrated with stack power maximization for refraction residual statics estimation. GEOPHYSICS, pages 1--74, November 2022. [ DOI | http | bib ] ( citation counts in OpenAlex 16 | Scopus 20 | Scholar 14 )
  39. Merel Schalkers and Matthias Möller. Learning based hardware-centric quantum circuit generation. In Proceedings of the 22nd International Conference on Innovations for Community Services (I4CS 2022). Springer, Cham, 2022. [ DOI | http | bib ] ( citation counts in OpenAlex 1 | Scopus 1 | Scholar 1 )
  40. Vijai Suriyababu, Kees Vuik, and Matthias Möller. Shrink wrap mesh generation using morphological operators with selected applications. In Proceedings of the SIAM International Meshing Roundtable (SIAM IMR22). SIAM, 2022. [ DOI | http | bib ] ( citation counts in OpenAlex 0 )
  41. Roel Tielen, Matthias Möller, and Cornelis Vuik. Combining p-multigrid and multigrid reduction in time methods to obtain a scalable solver for isogeometric analysis. SN Appl. Sci., 4(6), June 2022. [ DOI | http | bib ] ( citation counts in OpenAlex 1 | Scopus 1 | Scholar 0 )
  42. Smaran Adarsh and Matthias Möller. Resource optimal executable quantum circuit generation using approximate computing. In Proceedings of the IEEE International Conference on Quantum Computing and Engineering (QCE21). IEEE, 2021. [ DOI | http | bib ] ( citation counts in OpenAlex 4 | Scopus 4 | Scholar 2 )
  43. Vandana Dwarka, Roel Tielen, Matthias Möller, and Cornelis Vuik. Towards accuracy and scalability: Combining isogeometric analysis with deflation to obtain scalable convergence for the Helmholtz equation. Computer Methods in Applied Mechanics and Engineering, 377:113694, 2021. [ DOI | http | bib ] ( citation counts in OpenAlex 7 | Scopus 8 | Scholar 8 )
  44. Jochen Hinz, Andrzej Jaeschke, Matthias Möller, and Cornelis Vuik. The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications. Computer Methods in Applied Mechanics and Engineering, 378:113685, 2021. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scopus 3 | Scholar 4 )
  45. Jie Liu, Matthias Möller, and Henk M. Schuttelaars. Balancing truncation and round-off errors in FEM: One-dimensional analysis, 2021. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 8 | Scopus 11 | Scholar 11 )
  46. Roel Tielen, Matthias Möller, and Cornelis Vuik. A block ILUT smoother for multipatch geometries in isogeometric analysis. In Carla Manni and Hendrik Speleers, editors, Advanced Methods for Geometric Modeling and Numerical Simulation, volume 49 of Springer INdAM Series, pages 259--278. Springer International Publishing, Cham, 2022. [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scopus 0 )
  47. Hugo H.M. Verhelst, Matthias M. Möller, Henk J.H. Den Besten, Angelos Mantzaflaris, and Mirek M.L. Kaminski. Stretch-based hyperelastic material formulations for isogeometric Kirchhoff-Love shells. Computer-Aided Design, 139:103075, 2021. [ DOI | http | bib ] 
  48. Elizaveta Wobbes, Roel Tielen, Matthias Möller, and Cornelis Vuik. Comparison and unification of material-point and optimal transportation meshfree methods. Computational Particle Mechanics, 8(1):113–133, January 2021. [ DOI | http | bib ] ( citation counts in OpenAlex 6 | Scopus 4 | Scholar 1 )
  49. Jochen Hinz, Jan Helmig, Matthias Möller, and Stefanie Elgeti. Boundary-conforming finite element methods for twin-screw extruders using spline-based parameterization techniques. Computer Methods in Applied Mechanics and Engineering, 361:112740, 2020. [ DOI | http | bib ] ( citation counts in OpenAlex 18 | Scopus 14 | Scholar 17 )
  50. Andrzej Jaeschke and Matthias Möller. High-order isogeometric methods for compressible flows. I. Scalar conservation laws. In Harald van Brummelen, Alessandro Corsini, Simona Perotto, and Gianluigi Rozza, editors, Numerical Methods for Flows: FEF 2017 Selected Contributions, pages 21--29, Cham, 2020. Springer International Publishing. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 6 | Scopus 6 | Scholar 5 )
  51. Matthias Möller and Andrzej Jaeschke. High-order isogeometric methods for compressible flows. II. Compressible Euler equations. In Harald van Brummelen, Alessandro Corsini, Simona Perotto, and Gianluigi Rozza, editors, Numerical Methods for Flows: FEF 2017 Selected Contributions, pages 31--39, Cham, 2020. Springer International Publishing. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 1 | Scopus 2 )
  52. Matthias Möller and Merel Schalkers. LibKet: A cross-platform programming framework for quantum-accelerated scientific computing. In Valeria V. Krzhizhanovskaya, Gábor Závodszky, Michael H. Lees, Jack J. Dongarra, Peter M. A. Sloot, Sérgio Brissos, and João Teixeira, editors, Computational Science - ICCS 2020, pages 451--464, Cham, 2020. Springer International Publishing. [ DOI | http | bib ] ( citation counts in OpenAlex 7 | Scopus 4 | Scholar 7 )
  53. Rene D. Miedema, Georgios Smaragdos, Mario J. Negrello, Zaid Al-Ars, Matthias Möller, and Christos Strydis. flexHH: A flexible hardware library for Hodgkin-Huxley-based neural simulations. IEEE Access, 8:121905--121919, 2020. [ DOI | http | bib ] ( citation counts in OpenAlex 13 | Scopus 11 | Scholar 8 )
  54. Roel Tielen, Matthias Möller, Dominik Göddeke, and Cornelis Vuik. p-multigrid methods and their comparison to h-multigrid methods within Isogeometric Analysis. Computer Methods in Applied Mechanics and Engineering, 372:113347, 2020. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 23 | Scopus 18 | Scholar 26 )
  55. Roel Tielen, Matthias Möller, and Kees Vuik. A direct projection to low-order level for p-multigrid methods in isogeometric analysis. In Proceedings of ENUMATH 2019, the 13th European Conferences on Numerical Mathematics and Advanced Applications. Springer-Verlag, 2020| bib ] 
  56. Hugo Verhelst, Matthias Möller, Henk Den Besten, Fred Vermolen, and Mirek Kaminski. Equilibrium path analysis including bifurcations with an arc-length method avoiding a priori perturbations. In Proceedings of ENUMATH 2019, the 13th European Conferences on Numerical Mathematics and Advanced Applications. Springer-Verlag, 2020| bib ] 
  57. Pascal de Koster, Roel Tielen, Elizaveta Wobbes, and Matthias Möller. Extension of B-spline material point method for unstructured triangular grids using Powell-Sabin splines. Computational Particle Mechanics, March 2020. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 6 | Scopus 19 | Scholar 0 )
  58. Matthias Möller and Cornelis Vuik. A conceptual framework for quantum accelerated automated design optimization. Microprocessors and Microsystems, 66:67--71, apr 2019. [ DOI | http | bib ] ( citation counts in OpenAlex 8 | Scopus 9 | Scholar 9 )
  59. Quoc-Anh Tran, Elizaveta Wobbes, Wojciech Solowski, Matthias Möller, and Cornelis Vuik. Moving least squares reconstruction for B-spline material point method. In Proceedings of the Second International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction, Cambridge, UK, jan 2019. [ .pdf | bib ] 
  60. Roel Tielen, Matthias Möller, and Kees Vuik. Efficient multigrid based solvers for B-spline MPM. In Proceedings of the Second International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction, Cambridge, UK, jan 2019. [ .pdf | bib ] 
  61. Elizaveta Wobbes, Roel Tielen, Matthias Möller, Kees Vuik, and Vahid Galavi. Comparison between material point method and meshfree schemes derived from optimal transportation theory. In Proceedings of the Second International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction, Cambridge, UK, jan 2019. [ .pdf | bib ] 
  62. Jochen Hinz, Matthias Möller, and Cornelis Vuik. Spline-based parameterization techniques for twin-screw machine geometries. IOP Conference Series: Materials Science and Engineering, 425:012030, nov 2018. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 8 | Scopus 6 | Scholar 9 )
  63. Jochen Hinz, Matthias Möller, and Cornelis Vuik. Elliptic grid generation techniques in the framework of isogeometric analysis applications. Computer Aided Geometric Design, 65:48--75, oct 2018. [ DOI | http | bib ] ( citation counts in OpenAlex 43 | Scopus 37 | Scholar 45 )
  64. Jochen Hinz, Matthias Möller, and Cornelis Vuik. An IGA framework for PDE-based planar parameterization on convex multipatch domains. In Harald van Brummelen, Kees Vuik, Matthias Möller, Clemens Verhoosel, Bernd Simeon, and Bert Jüttler, editors, Proceedings of the 3rd Conference on Isogeometric Analysis and Applications (IGAA 2018), 2020. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 0 )
  65. Jakob M. Maljaars, Robert Jan Labeur, and Matthias Möller. A hybridized discontinuous Galerkin framework for high-order particle-mesh operator splitting of the incompressible Navier-Stokes equations. Journal of Computational Physics, 358:150--172, apr 2018. [ DOI | http | bib ] ( citation counts in OpenAlex 12 | Scopus 10 | Scholar 12 )
  66. Matthias Möller and Jochen Hinz. Isogeometric analysis framework for the numerical simulation of rotary screw machines. I. General concept and early applications. IOP Conference Series: Materials Science and Engineering, 425:012032, nov 2018. [ DOI | http | bib ] ( citation counts in OpenAlex 5 | Scopus 5 | Scholar 5 )
  67. Roel Tielen, Matthias Möller, and Cornelis Vuik. Efficient p-multigrid based solvers for multipatch geometries in isogeometric analysis. In Harald van Brummelen, Kees Vuik, Matthias Möller, Clemens Verhoosel, Bernd Simeon, and Bert Jüttler, editors, Proceedings of the 3rd Conference on Isogeometric Analysis and Applications (IGAA 2018), 2018. [ .pdf | bib ] 
  68. Elizaveta Wobbes, Matthias Möller, Vahid Galavi, and Cornelis Vuik. Conservative Taylor least squares reconstruction with application to material point methods. International Journal for Numerical Methods in Engineering, 117(3):271--290, oct 2018. [ DOI | http | bib ] ( citation counts in OpenAlex 27 | Scopus 23 | Scholar 30 )
  69. Babak S. Hosseini, Stefan Turek, Matthias Möller, and Christian Palmes. Isogeometric analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows. Journal of Computational Physics, 348:171--194, nov 2017. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 45 | Scopus 38 | Scholar 49 )
  70. Jakob Maljaars, Robert Jan Labeur, Matthias Möller, and Wim Uijttewaal. Development of a hybrid particle-mesh method for simulating free-surface flows. Journal of Hydrodynamics, 29(3):413--422, jun 2017. [ DOI | http | bib ] 
  71. Jakob Maljaars, Robert J. Labeur, Matthias Möller, and Wim Uijttewaal. A numerical wave tank using a hybrid particle-mesh approach. Procedia Engineering, 175:21--28, 2017. [ DOI | http | bib ] ( citation counts in OpenAlex 8 | Scopus 7 | Scholar 9 )
  72. Matthias Möller and Cornelis Vuik. On the impact of quantum computing technology on future developments in high-performance scientific computing. Ethics and Information Technology, 19(4):253--269, aug 2017. [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 137 | Scopus 121 | Scholar 120 )
  73. Ioannis Stamoulias, Matthias Möller, Rene Miedema, Christos Strydis, Christoforos Kachris, and Dimitrios Soudris. High-performance hardware accelerators for solving ordinary differential equations. In Proceedings of the 8th International Symposium on Highly Efficient Accelerators and Reconfigurable Technologies - HEART2017. ACM Press, 2017. [ DOI | http | bib ] ( citation counts in OpenAlex 11 | Scopus 14 | Scholar 14 )
  74. Roel Tielen, Elizaveta Wobbes, Matthias Möller, and Lars Beuth. A high order material point method. Procedia Engineering, 175:265--272, 2017. [ DOI | http | bib ] ( citation counts in OpenAlex 89 | Scopus 75 | Scholar 90 )
  75. Jakolien M. van der Meer, Johann B.F.M. Kraaijevanger, Matthias Möller, and Jan D. Jansen. Temporal oscillations in the simulation of foam enhanced oil recovery. In ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery. EAGE Publications BV, aug 2016. [ DOI | http | bib ] ( citation counts in OpenAlex 6 | Scholar 7 )
  76. Babak S. Hosseini, Matthias Möller, and Stefan Turek. Isogeometric analysis of the Navier-Stokes equations with Taylor-Hood B-spline elements. Applied Mathematics and Computation, 267:264--281, sep 2015. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 34 | Scopus 36 | Scholar 42 )
  77. Mohit Kumar, Henk M. Schuttelaars, Pieter C. Roos, and Matthias Möller. Three-dimensional semi-idealized model for tidal motion in tidal estuaries. Ocean Dynamics, 66(1):99--118, dec 2015. [ DOI | http | bib ] ( citation counts in OpenAlex 15 | Scopus 15 | Scholar 17 )
  78. Matthias Möller. Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems. Computing, 95(5):425--448, jan 2013. [ DOI | http | bib ] ( citation counts in OpenAlex 4 | Scopus 4 | Scholar 0 )
  79. Dmitri Kuzmin and Matthias Möller. Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems. Journal of Computational and Applied Mathematics, 233(12):3113--3120, apr 2010. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 9 | Scopus 7 | Scholar 10 )
  80. Dmitri Kuzmin, Matthias Möller, John N. Shadid, and Mikhail Shashkov. Failsafe flux limiting and constrained data projections for equations of gas dynamics. Journal of Computational Physics, 229(23):8766--8779, nov 2010. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 47 | Scopus 44 | Scholar 59 )
  81. Matthias Möller. On an efficient solution strategy of Newton type for implicit finite element schemes based on algebraic flux correction. International Journal for Numerical Methods in Fluids, 56(8):1085--1091, 2008. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scopus 2 | Scholar 1 )
  82. Matthias Möller, Dmitri Kuzmin, and Drosos Kourounis. Implicit FEM-FCT algorithms and discrete Newton methods for transient convection problems. International Journal for Numerical Methods in Fluids, 57(6):761--792, 2008. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 18 | Scopus 21 | Scholar 20 )
  83. Matthias Möller. Efficient solution techniques for implicit finite element schemes with flux limiters. International Journal for Numerical Methods in Fluids, 55(7):611--635, 2007. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 8 | Scopus 5 | Scholar 11 )
  84. Matthias Möller and Dmitri Kuzmin. Adaptive mesh refinement for high-resolution finite element schemes. International Journal for Numerical Methods in Fluids, 52(5):545--569, 2006. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 23 | Scopus 19 | Scholar 28 )
  85. Matthias Möller, Dmitri Kuzmin, and Stefan Turek. Implicit finite element discretizations based on the flux-corrected transport algorithm. International Journal for Numerical Methods in Fluids, 47(10-11):1197--1203, 2005. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 2 | Scopus 3 | Scholar 4 )
  86. Dmitri Kuzmin, Matthias Möller, and Stefan Turek. High-resolution FEM-FCT schemes for multidimensional conservation laws. Computer Methods in Applied Mechanics and Engineering, 193(45-47):4915--4946, nov 2004. [ DOI | http | bib ] ( citation counts in OpenAlex 74 | Scopus 50 | Scholar 92 )
  87. Dmitri Kuzmin, Matthias Möller, and Stefan Turek. Multidimensional FEM-FCT schemes for arbitrary time stepping. International Journal for Numerical Methods in Fluids, 42(3):265--295, may 2003. [ DOI | http | bib ] ( citation counts in OpenAlex 55 | Scopus 39 | Scholar 58 )

Non-peer reviewed articles

  1. Stan van der Linde, Marcin Dukalski, Matthias Möller, Niels Neumann, Frank Phillipson, and Diego Rovetta. Residual statics estimation with quantum annealing. In 83rd EAGE Annual Conference & Exhibition. European Association of Geoscientists & Engineers, 2022| bib ] 
  2. R.P.W.M. Tielen, M. Möller, and Cornelis Vuik. Multigrid reduced in time for isogeometric analysis. In Carina Schwarz and Simone Morganti, editors, Book of Extended Abstracts of the 6th ECCOMAS Young Investigators Conference, pages 47--56, 2022. 6th ECCOMAS Young Investigators Conference, YIC 2021 ; Conference date: 07-07-2022 Through 09-07-2022. [ http | bib ] 
  3. Jochen Hinz, Matthias Möller, and Cornelis Vuik. Spline-based meshing techniques for industrial applications. In Proceedings of the 6th European Conference on Computational Mechanics (ECCM 6) and the 7th European Conference on Computational Fluid Dynamics (ECFD 7), Glasgow, UK, jun 2018. ECCOMAS. (pdf)| bib ] 
  4. Matthias Möller and Andrzej Jaeschke. FDBB: Fluid dynamics building blocks. In Proceedings of the 6th European Conference on Computational Mechanics (ECCM 6) and the 7th European Conference on Computational Fluid Dynamics (ECFD 7), Glasgow, UK, jun 2018. ECCOMAS. (pdf). [ DOI | arXiv | http | bib ] ( citation counts in OpenAlex 0 )
  5. Roel Tielen, Matthias Möller, and Cornelis Vuik. Efficient multigrid based solvers for isogeometric analysis. In Proceedings of the 6th European Conference on Computational Mechanics (ECCM 6) and the 7th European Conference on Computational Fluid Dynamics (ECFD 7), Glasgow, UK, jun 2018. ECCOMAS. (pdf)| bib ] 
  6. Elizaveta Wobbes, Matthias Möller, Vahid Galavi, and Cornelis Vuik. Taylor least squares reconstruction technique for material point methods. In Proceedings of the 6th European Conference on Computational Mechanics (ECCM 6) and the 7th European Conference on Computational Fluid Dynamics (ECFD 7), Glasgow, UK, jun 2018. ECCOMAS. (pdf)| bib ] 
  7. Matthias Möller. On the design of non-conforming high-resolution finite element schemes. In Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012). ECCOMAS, 2012. [ .pdf | bib ] 
  8. Matthias Möller and Dmitri Kuzmin. On the use of slope limiters for the design of recovery based error indicators. In Proceedings of the 4th European Conference on Computational Fluid Dynamics (ECFD 4). ECCOMAS, 2006. [ .pdf | bib ] 
  9. Matthias Möller and Dmitri Kuzmin. On the use of slope limiters for the design of recovery based error indicators. In Numerical Mathematics and Advanced Applications, pages 233--240. Springer Berlin Heidelberg, 2006. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 0 | Scholar 1 )
  10. Matthias Möller, Dmitri Kuzmin, and Stefan Turek. Implicit FEM-FCT algorithm for compressible flows. In Numerical Mathematics and Advanced Applications, pages 641--650. Springer Berlin Heidelberg, 2004. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 2 | Scholar 2 )
  11. Matthias Möller, Dmitri Kuzmin, and Stefan Turek. Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations. In Scientific Computation, pages 325--354. Springer Berlin Heidelberg, 2004. (pdf). [ DOI | http | bib ] ( citation counts in OpenAlex 7 | Scholar 8 )

PhD thesis

  • Matthias Möller. Adaptive high-resolution finite element schemes, 2008. [ .pdf | bib ] 

Diploma thesis

  • Matthias Möller. Hochauflösende FEM-FCT Verfahren zur Diskretisierung von konvektionsdominanten Transportproblemen mit Anwendung auf die kompressiblen Euler Gleichungen, 2003. (in German). [ .pdf | bib ]