Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps

Musch M, Rupp A, Aizinger V, Knabner P (2023)

Publication Type: Journal article

Publication year: 2023

Journal

GEM - International Journal on Geomathematics Springer Verlag

Book Volume: 14

Article Number: 18

Journal Issue: 1

DOI: 10.1007/s13137-023-00228-7

Abstract

We formulate a hybridizable discontinuous Galerkin method for parabolic equations with non-linear tensor-valued coefficients and jump conditions (Henry’s law). The analysis of the proposed scheme indicates the optimal convergence order for mildly non-linear problems. The same order is also obtained in our numerical studies for simplified settings. A series of numerical experiments investigate the effect of choosing different order approximation spaces for various unknowns.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

University of Oslo

Norway (NO) Lappeenranta University of Technology (LUT) / Lappeenrannan teknillinen yliopisto

Finland (FI) Universität Bayreuth

Germany (DE)

How to cite

APA:

Musch, M., Rupp, A., Aizinger, V., & Knabner, P. (2023). Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps. GEM - International Journal on Geomathematics, 14(1). https://dx.doi.org/10.1007/s13137-023-00228-7

MLA:

Musch, Markus, et al. "Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps." GEM - International Journal on Geomathematics 14.1 (2023).

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