Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
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Publication:1008695
DOI10.1016/j.cam.2008.08.029zbMath1170.65093OpenAlexW1969440412MaRDI QIDQ1008695
Antti Hannukainen, Sergey Korotov, Tomáv s Vejchodský
Publication date: 30 March 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.029
Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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On angle conditions in the finite element method ⋮ On continuous and discrete maximum principles for elliptic problems with the third boundary condition ⋮ Some discrete maximum principles arising for nonlinear elliptic finite element problems ⋮ Higher-order discrete maximum principle for 1D diffusion-reaction problems ⋮ Discrete maximum principle for parabolic problems solved by prismatic finite elements ⋮ On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes ⋮ Qualitative properties of discrete nonlinear parabolic operators
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