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

Professor in Mathematics of Computational Mechanics

About Me

Jaap van der Vegt is Professor in Mathematics of Computational Mechanics, and head of the Chair Mathematics of Computational Science in the Department of Applied Mathematics at the University of Twente. 

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

Engineering & Materials Science
Advection
Crystals
Galerkin Methods
Photonic Band Gap
Physics & Astronomy
Cavities
Photonics
Mathematics
Discontinuous Galerkin
Discontinuous Galerkin Method

Ancillary Activities

  • University of Science and Technology of China, Hefei, Anhui Province, China
    Deeltijdhoogleraar

Publications

Recent
Kozon, M., Corbijn van Willenswaard, L. J. , Schlottbom, M. , Vos, W. L. , & van der Vegt, J. J. W. (2023). Discontinuous Galerkin Method to Model Light Propagation in Photonic Crystals of any size. Poster session presented at PECS-XIII International Symposium on Photonic and Electromagnetic Crystal Structures, Myojin Kaikan, Japan.
Kozon, M. , Schlottbom, M. , van der Vegt, J. J. W. , & Vos, W. L. (2023). Photon Confinement in 3D Photonic Band Gap Superlattices. Poster session presented at PECS-XIII International Symposium on Photonic and Electromagnetic Crystal Structures, Myojin Kaikan, Japan.
Kozon, M. , Lagendijk, A. , Schlottbom, M. , van der Vegt, J. J. W. , & Vos, W. L. (2023). Scaling Theory of Wave Confinement inv Classical and Quantum Periodic Systems. Poster session presented at PECS-XIII International Symposium on Photonic and Electromagnetic Crystal Structures, Myojin Kaikan, Japan.
Kozon, M. (2023). Theoretical and Computational Analysis of Wave Confinement in Periodic Media. [PhD Thesis - Research UT, graduation UT, University of Twente]. University of Twente. https://doi.org/10.3990/1.9789036555296
Kozon, M., Van Willenswaard, L. J. C. , Schlottbom, M. , Vos, W. L. , & Van Der Vegt, J. J. W. (2022). Size-Robust Multiscale FEM for Light Propagation Through Realistic Photonic Crystals. In Bragg Gratings, Photosensitivity and Poling in Glass Waveguides and Materials, BGPP 2022 [JTu2A.15] (Optics InfoBase Conference Papers). Optica Publishing Group.
Kozon, M. , Lagendijk, A. , Schlottbom, M. , van der Vegt, J. J. W. , & Vos, W. L. (2022). Scaling theory of wave confinement in classical and quantum periodic systems. In Integrated Photonics Research, Silicon and Nanophotonics, IPR 2022 [JM2D.2] (Optics InfoBase Conference Papers). Optica Publishing Group.
Kozon, M., Corbijn van Willenswaard, L. J. , Schlottbom, M. , Vos, W. L. , & van der Vegt, J. J. W. (2022). Size-Robust Multiscale FEM for Light Propagation Through Realistic Photonic Crystals. Poster session presented at Optica Advanced Photonics Congress 2022, Maastricht, Netherlands.
Hesthaven, J. S., Ryan, J., Shu, C. W. , van der Vegt, J., Xu, Y., Zhang, Q., & Zhang, Z. (2022). Preface to Focused Issue on Discontinuous Galerkin Methods. Communications on Applied Mathematics and Computation, 4(1), 1-2. https://doi.org/10.1007/s42967-021-00170-1
Other Contributions

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Contact Details

Visiting Address

University of Twente
Faculty of Electrical Engineering, Mathematics and Computer Science
Zilverling (building no. 11), room 3034
Hallenweg 19
7522NH  Enschede
The Netherlands

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Mailing Address

University of Twente
Faculty of Electrical Engineering, Mathematics and Computer Science
Zilverling  3034
P.O. Box 217
7500 AE Enschede
The Netherlands