Publications

Under review

  1. Arne Wulff, Boyang Chen, Matthew Steinberg, Yinglu Tang, Matthias M}ller, and Sebastian Feld. Quantum computing and tensor networks for laminate design: A novel approach to stacking sequence retrieval, 2024. [ arXiv ]
  2. H. M. Verhelst, A. Mantzaflaris, M. Möller, and J. H. Den Besten. Goal-adaptive meshing of isogeometric kirchhoff-love shells, March 2024. [ DOI | http ]
  3. Merel A. Schalkers and Matthias Möller. Efficient and fail-safe quantum algorithm for the transport equation, April 2024. [ DOI | http ]

Preprints

  1. Huub Donkers, Koen Mesman, Zaid Al-Ars, and Matthias Möller. QPack scores: Quantitative performance metrics for application-oriented quantum computer benchmark, 2022. [ arXiv | http ]
  2. Jie Liu, Henk M. Schuttelaars, and Matthias Möller. A practical algorithm to minimize the overall error in FEM computations, 2022. [ arXiv | http ]
  3. Koen Mesman, Zaid Al-Ars, and Matthias Möller. QPack: Quantum approximate optimization algorithms as universal benchmark for quantum computers, 2021. [ arXiv | http ]
  4. Jochen Hinz, Michael Abdelmalik, and Matthias Möller. Goal-oriented adaptive THB-spline schemes for PDE-based planar parameterization, 2020. [ arXiv | http ]
  5. 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. [ arXiv | http ]

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 ]

Book chapters

  1. Ye Ji, Matthias Möller, and Hugo Verhelst. chapter Design Through Analysis. Advances in Mathematical Fluid Mechanics. Springer, 2024.
  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 ]
  3. 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 ]
  4. 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 ]
  5. 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 ]
  6. 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.
  7. 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.
  8. Dmitri Kuzmin, Matthias Möller, and Marcel Gurris. Algebraic flux correction II. In Flux-Corrected Transport, pages 193--238. Springer Netherlands, 2012. (pdf). [ DOI | http ]
  9. 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.
  10. 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.
  11. Dmitri Kuzmin and Matthias Möller. Algebraic flux correction I. Scalar conservation laws. In Flux-Corrected Transport, pages 155--206. Springer-Verlag, 2005. (pdf). [ DOI ]
  12. 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 ]

Peer-reviewed articles

  1. 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 ]
  2. 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 ]
  3. H.M. Verhelst, J.H. Den Besten, and M. Möller. An adaptive parallel arc-length method. Computers & Structures, 296:107300, June 2024. [ DOI | http ]
  4. Bart de Koning, Alexander Heemels, Aurèle 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 ]
  5. 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 ]
  6. 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 ]
  7. 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 ]
  8. 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 ]
  9. 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 ]
  10. 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 ]
  11. 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 ]
  12. 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 ]
  13. 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 ]
  14. 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 ]
  15. Jie Liu, Matthias Möller, and Henk M. Schuttelaars. Balancing truncation and round-off errors in FEM: One-dimensional analysis, 2021. [ DOI | arXiv | http ]
  16. 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 ]
  17. 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 ]
  18. 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 ]
  19. 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 ]
  20. 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 ]
  21. 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 ]
  22. 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 ]
  23. 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 ]
  24. 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.
  25. 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.
  26. 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 ]
  27. Matthias Möller and Cornelis Vuik. A conceptual framework for quantum accelerated automated design optimization. Microprocessors and Microsystems, 66:67--71, apr 2019. [ DOI | http ]
  28. Quoc-Anh Tran, Elizaveta Wobbes, Wojciech Sokowski, 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 ]
  29. 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 ]
  30. 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 ]
  31. 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 ]
  32. 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 ]
  33. 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. [ arXiv | http ]
  34. 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 ]
  35. 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 ]
  36. 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 ]
  37. 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 ]
  38. 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 ]
  39. 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 ]
  40. 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 ]
  41. 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 ]
  42. 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 ]
  43. Roel Tielen, Elizaveta Wobbes, Matthias Möller, and Lars Beuth. A high order material point method. Procedia Engineering, 175:265--272, 2017. [ DOI | http ]
  44. 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 ]
  45. 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 ]
  46. 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 ]
  47. Matthias Möller. Algebraic flux correction for nonconforming finite element discretizations of scalar transport problems. Computing, 95(5):425--448, jan 2013. [ DOI | http ]
  48. 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 ]
  49. 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 ]
  50. 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 ]
  51. 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 ]
  52. 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 ]
  53. 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 ]
  54. 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 ]
  55. 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 ]
  56. 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 ]

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.
  2. 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).
  3. 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). [ arXiv | http ]
  4. 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).
  5. 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).
  6. 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 ]
  7. 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 ]
  8. 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 ]
  9. 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 ]
  10. 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 ]

PhD thesis

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

Diploma thesis

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