• 9 Citations
20122017
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Research Output 2012 2017

  • 9 Citations
  • 3 Article
  • 1 Report
  • 1 Phd Thesis 1 (Research TU/e / Graduation TU/e)

Adaptive algorithms for optimal multiscale model hierarchies of the Boltzmann Equation: Galerkin methods for kinetic theory

Abdel Malik, M. R. A., 31 May 2017, Eindhoven: Technische Universiteit Eindhoven. 111 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Open Access
File
1 Citations
Boltzmann equation
Error analysis
hierarchies
moments
Adaptive algorithms
3 Citations

An entropy stable discontinuous Galerkin finite-element moment method for the Boltzmann equation

Abdel Malik, M. & van Brummelen, E. H., 1 Oct 2016, In : Computers and Mathematics with Applications. 72, 8, p. 1988-1999 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

Moment Method
Discontinuous Galerkin
Boltzmann equation
Galerkin Approximation
Method of moments
5 Citations

Moment closure approximations of the Boltzmann equation based on φ-divergences

Abdel Malik, M. & van Brummelen, E. H., Jul 2016, In : Journal of Statistical Physics. 164, 1, p. 77-104 28 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
F-divergence
Moment Closure
Boltzmann Equation
closures
divergence

Numerical approximation of the Boltzmann equation : moment closure

Abdel Malik, M. R. A. & Brummelen, van, E. H., 2012, Eindhoven: Technische Universiteit Eindhoven. 40 p. (CASA-report; vol. 1230)

Research output: Book/ReportReportAcademic

Open Access
File
closures
moments
approximation
entropy
kinetics

Student theses

A discontinuous Galerkin finite element moment method for the Boltzmann equation on unstructured grids

Author: Bajonero Canonico, E., 24 Nov 2016

Supervisor: van Brummelen, E. (Supervisor 1) & Abdelmalik, M. (Supervisor 2)

Student thesis: Master

A discontinuous Galerkin method for multi-dimensional moment systems

Author: Wolf, M., 30 Sep 2015

Supervisor: van Brummelen, E. (Supervisor 1) & Abdelmalik, M. (Supervisor 2)

Student thesis: Master

File

High order Galerkin methods for systems of linear hyperbolic conservation laws

Author: Intzes, K., 21 Jul 2016

Supervisor: van Brummelen, E. (Supervisor 1) & Abdelmalik, M. (Supervisor 2)

Student thesis: Master

Numerical approximation of the Boltzmann equation: moment closure

Author: Abdel Malik, M., 31 Aug 2012

Supervisor: van Brummelen, E. (Supervisor 1)

Student thesis: Master

File