Zilverling
Guest staff

prof.dr.ir. J.J.W. van der Vegt (Jaap)

Professor in Mathematics of Computational Mechanics
EEMCS-AM-MACS
Zilverling 3034
j.j.w.vandervegt@utwente.nl
+31534895628
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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
    • Superlattice
    • Crystal
    • Optical Property

  • Mathematics

    • Discretization
    • Finite Element Methods
    • Local Discontinuous Galerkin Method

  • Engineering

    • Discontinuous Galerkin

Organisations

Publications

2026

Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations (2026)Advances in Applied Mathematics and Mechanics, 18(1), 134-169. Meng, X., Xu, Y. & van der Vegt, J. J. W.https://doi.org/10.4208/aamm.OA-2023-0317

2025

Higher Order Accurate Bounds Preserving Time-Implicit Discretizations for the Chemically Reactive Euler Equations (2025)Communications in computational physics, 38(4), 1017-1052. Yan, F., Van der Vegt, J. J. W., Xia, Y. & Xu, Y.https://doi.org/10.4208/cicp.OA-2023-0115Dirac structure for linear dynamical systems on Sobolev spaces (2025)Journal of mathematical analysis and applications, 549(2). Article 129493. Kumar, N., Zwart, H. J. & van der Vegt, J. J. W.https://doi.org/10.1016/j.jmaa.2025.129493On the Approximate Component Mode Synthesis method for the approximation of the Helmholtz equation (2025)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. Giammatteo, E.https://doi.org/10.3990/1.9789036567848An Energy Stable Local Discontinuous Galerkin Method for the Isothermal Navier-Stokes-Korteweg Equations (2025)Journal of scientific computing, 104(2). Article 63. Tian, L., Xu, Y., Yang, Y. & Van der Vegt, J. J. W.https://doi.org/10.1007/s10915-025-02979-xDiscontinuous Galerkin Finite Element Methods for Linear Port-Hamiltonian Dynamical Systems (2025)Journal of scientific computing, 104(1). Article 8. Cheng, X., van der Vegt, J. J. W., Xu, Y. & Zwart, H. J.https://doi.org/10.1007/s10915-025-02926-wOn adaptive and flexible numerical methods for the approximation of radiative transfer problems (2025)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. Bardin, R.https://doi.org/10.3990/1.9789036564144On the geometric structure, well-posedness and systematic discretization of linear kinetic equations (2025)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. Bosboom, V.https://doi.org/10.3990/1.9789036567343Port-Hamiltonian discontinuous Galerkin finite element methods (2025)IMA Journal of Numerical Analysis, 45(1), 354–403. Kumar, N., van der Vegt, J. J. W. & Zwart, H. J.https://doi.org/10.1093/imanum/drae008

2024

Port-Hamiltonian Discontinuous Galerkin Finite Element Methods (2024)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. Kumar, N.https://doi.org/10.3990/1.9789036563918

Other contributions

Inaugural lecture summaryĀ (PDF)

Research profiles

Courses academic year 2026/2027

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 2025/2026

Courses academic year 2024/2025

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