Numerical artifacts in the generalized porous medium equation: why harmonic averaging itself is not to blame

DOI10.1016/j.jcp.2018.02.010zbMath1391.76734arXiv1709.02581OpenAlexW2752498785MaRDI QIDQ1637564

Danielle C. Maddix, Margot G. Gerritsen, Luiz E. B. Sampaio

Publication date: 8 June 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02581

zbMATH Keywords

degenerate nonlinear parabolic equationstemporal oscillationsgeneralized porous medium equationharmonic and arithmetic averagingmodified equation analysisself-sharpening

Mathematics Subject Classification ID

Related Items (4)

Numerical artifacts in the generalized porous medium equation: why harmonic averaging itself is not to blame ⋮ Learning physical models that can respect conservation laws ⋮ A Decoupled and Positivity-Preserving DDFVS cheme for Diffusion Problems on Polyhedral Meshes ⋮ Numerical artifacts in the discontinuous generalized porous medium equation: how to avoid spurious temporal oscillations

Cites Work

• Unnamed Item
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• Numerical simulation for porous medium equation by local discontinuous Galerkin finite element method
• A study on moving mesh finite element solution of the porous medium equation
• Numerical artifacts in the discontinuous generalized porous medium equation: how to avoid spurious temporal oscillations
• A stability technique for evolution partial differential equations. A dynamical systems approach
• Numerical artifacts in the generalized porous medium equation: why harmonic averaging itself is not to blame
• Interfaces in multidimensional diffusion equations with absorption terms
• The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient
• METHODS OF CONSTRUCTING APPROXIMATE SELF-SIMILAR SOLUTIONS OF NONLINEAR HEAT EQUATIONS. I
• Total variation diminishing Runge-Kutta schemes
• Systems of conservation laws
• Regularity Propeties of Flows Through Porous Media

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