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Michael Abdelmalik

Eindhoven University of Technology (TUE)

SCHOLARLY PAPERS

5

DOWNLOADS

187

TOTAL CITATIONS

5

Scholarly Papers (5)

1.

Entropy Stable Hydrodynamic Discretizations of the Linearized Boltzmann Equation

Number of pages: 37 Posted: 17 Sep 2025 Last Revised: 10 Jan 2026
Oden Institute for Computational Engineering and Sciences University of Texas, affiliation not provided to SSRN, affiliation not provided to SSRN, affiliation not provided to SSRN and Eindhoven University of Technology (TUE)
Downloads 62 (961,006)

Abstract:

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Boltzmann equation, Hard Spheres, Rarefied Gas, Entropy Stable, Navier-Stokes-Fourier, Couette flow

2.

Finite Element and Isogeometric Stabilized Methods for the Advection-Diffusion-Reaction Equation

Number of pages: 55 Posted: 08 Jun 2023
Vienna University of Technology, Eindhoven University of Technology (TUE), Vienna University of Technology, affiliation not provided to SSRN and Oden Institute for Computational Engineering and Sciences University of Texas
Downloads 50 (1,063,489)
Citation 2

Abstract:

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advection-diffusion-reaction equation, stabilized methods, finite elements, isogeometric analysis

3.

A Φ−Divergence Based Finite Element Moment Method for the Polyatomic Es-Bgk Boltzmann Equation

Number of pages: 43 Posted: 02 May 2023
Daan van der Woude, Harald van Brummelen and Michael Abdelmalik
Eindhoven University of Technology (TUE), Eindhoven University of Technology (TUE) and Eindhoven University of Technology (TUE)
Downloads 44 (1,157,785)

Abstract:

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rarefied gas dynamics, Boltzmann equation, polyatomic gases, method of moments, discontinuous Galerkin, finite elements

4.

Neural Green's Operators for Parametric Partial Differential Equations

Number of pages: 44 Posted: 05 Nov 2025
Hugo Melchers, Joost Prins and Michael Abdelmalik
affiliation not provided to SSRN, affiliation not provided to SSRN and Eindhoven University of Technology (TUE)
Downloads 23 (1,411,822)
Citation 3

Abstract:

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Neural Operators, Finite Elements, Partial Differential Equations, Green's Functions, Machine Learning, Preconditioning

5.

Wigner-Eckart Factorization of the Spectral Boltzmann Collision Operator

Number of pages: 28 Posted: 08 Jun 2026
Rene Hiemstra, Torsten Keßler and Michael Abdelmalik
affiliation not provided to SSRN, affiliation not provided to SSRN and Eindhoven University of Technology (TUE)
Downloads 8

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