Jaap van der VegtĀ is Professor in Mathematics of Computational Mechanics, and head of the ChairĀ Mathematics ofĀ ComputationalĀ Science in the Department of Applied Mathematics at the University of Twente.Ā 

His research interests are in Numerical Analysis and Scientific Computing. The main focus is on the development, analysis and application of finite element methods for partial differential equations, in particular discontinuous Galerkin methods. Important topics are solution adaptive methods, including a priori and a posteriori error analysis, higher order accurate discretizations, compatible schemes which preserve the mathematical structure of partial differential equations after discretization, and multigrid methods for the efficient solution of algebraic systems resulting from finite element discretizations. Main areas of applications are fluid mechanics, both compressible, incompressible, multiphase and free surface flows, and electromagnetics.

Expertise

  • Physics

    • Photonics
    • Gaps
    • Light
    • Confinement
    • Crystals
    • Model
    • Calculation
    • Galerkin Method

Organisations

Publications

2024

Port-Hamiltonian Discontinuous Galerkin Finite Element Methods (2024)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. Kumar, N.https://doi.org/10.3990/1.9789036563918Non-utopian optical properties computed of a tomographically reconstructed real photonic nanostructure (2024)Optics express, 32(18), 32028-32047. Corbijn Van Willenswaard, L. J., Smeets, S., Renaud, N., Schlottbom, M., van der Vegt, J. J. W. & Vos, W. L.https://doi.org/10.1364/OE.519464Symmetries and Wavefunctions of Photons Confined in three-dimensional (3D) Photonic Band Gap Superlattices (2024)Physical review B: Covering condensed matter and materials physics, 109. Article 235141. Kozon, M., Lagendijk, A., Schlottbom, M., van der Vegt, J. J. W. & Vos, W. L.http://10.1103/PhysRevB.109.235141Symmetries and wave functions of photons confined in three-dimensional photonic band gap superlattices (2024)Physical review B: Covering condensed matter and materials physics, 109(23). Article 235141. Kozoň, M., Lagendijk, A., Schlottbom, M., van der Vegt, J. J. W. & Vos, W. L.https://doi.org/10.1103/PhysRevB.109.235141Port-Hamiltonian systems and their discontinuous Galerkin discretization (2024)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. Cheng, X.https://doi.org/10.3990/1.9789036561273Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations (2024)Journal of computational and applied mathematics, 441. Article 115674. Yan, F., Van der Vegt, J. J. W., Xia, Y. & Xu, Y.https://doi.org/10.1016/j.cam.2023.115674Port-Hamiltonian discontinuous Galerkin finite element methods (2024)IMA Journal of Numerical Analysis (E-pub ahead of print/First online). Kumar, N., van der Vegt, J. J. W. & Zwart, H. J.https://doi.org/10.1093/imanum/drae008Port-Hamiltonian formulations of the incompressible Euler equations with a free surface (2024)Journal of geometry and physics, 197. Article 105097. Cheng, X., van der Vegt, J. J. W., Xu, Y. & Zwart, H.https://doi.org/10.1016/j.geomphys.2023.105097Non-utopian optical properties computed of a tomographically reconstructed real photonic band gap crystal (2024)[Working paper › Preprint]. ArXiv.org. Willenswaard, L. J. C. v., Smeets, S., Renaud, N., Schlottbom, M., Vegt, J. J. W. v. d. & Vos, W. L.https://doi.org/10.48550/arXiv.2402.09395

Other contributions

Inaugural lecture summaryĀ (PDF)

Research profiles

Courses academic year 2024/2025

Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.

Courses academic year 2023/2024

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