A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations
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Publication:1738099
DOI10.1016/j.amc.2017.03.038zbMath1411.65131arXiv1610.02741OpenAlexW2531702696MaRDI QIDQ1738099
Publication date: 29 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.02741
maximum principlefinite element methodanisotropic diffusionNagumo equationboundedness preservationnonnegativity preservation
Physiology (general) (92C30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Semilinear parabolic equations (35K58)
Related Items (6)
A gradient discretisation method for anisotropic reaction-diffusion models with applications to the dynamics of brain tumors ⋮ Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems ⋮ A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes ⋮ Convergence of numerical schemes for convection-diffusion-reaction equations on generic meshes ⋮ Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes ⋮ Positivity preserving finite volume scheme for the Nagumo-type equations on distorted meshes
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Cites Work
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