Maximum principle for the finite element solution of time-dependent anisotropic diffusion problems
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Publication:2864599
DOI10.1002/num.21784zbMath1307.65134arXiv1209.5657OpenAlexW2118809139MaRDI QIDQ2864599
Publication date: 26 November 2013
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.5657
maximum principlefinite element\(\theta\)-methodanisotropic diffusionnumerical resulttime-dependentlinear finite element methodstepsize bound
Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (9)
Lumped finite elements for reaction-cross-diffusion systems on stationary surfaces ⋮ Discrete strong extremum principles for finite element solutions of diffusion problems with nonlinear corrections ⋮ Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients ⋮ Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations ⋮ An efficient high-order numerical solver for diffusion equations with strong anisotropy ⋮ Anisotropic mesh adaptation for finite element solution of anisotropic porous medium equation ⋮ A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations ⋮ Qualitative properties of discrete nonlinear parabolic operators ⋮ The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle
Uses Software
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