Musch M, Rupp A, Aizinger V, Knabner P (2023)
Publication Type: Journal article
Publication year: 2023
Book Volume: 14
Article Number: 18
Journal Issue: 1
DOI: 10.1007/s13137-023-00228-7
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.
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://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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