Research Interests

Fast solvers

Coming soon

Selected contributions

  • V. Dwarka, R. Tielen, M. Möller, and C. 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 ]
  • Roel Tielen. P-multigrid methods for isogeometric analysis, 2021. [ http ]
  • 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 ]
  • 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 ]
  • 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.
  • 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 ]
  • 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 ]
  • 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 ]