Some discrete maximum principles arising for nonlinear elliptic finite element problems
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Publication:2006558
DOI10.1016/j.camwa.2015.06.036zbMath1443.65347OpenAlexW2250928322MaRDI QIDQ2006558
Sergey Korotov, János Karátson
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.06.036
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)
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Cites Work
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- The discrete maximum principle for Galerkin solutions of elliptic problems
- The maximum principle
- The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem
- Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
- Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions
- On a class of electrorheological fluids
- Convex hull property and maximum principle for finite element minimisers of general convex functionals
- Measure-theoretic analysis and nonlinear conservation laws
- On discrete maximum principles for nonlinear elliptic problems
- Discrete maximum principle for finite-difference operators
- Maximum principle and uniform convergence for the finite element method
- Matrix and Discrete Maximum Principles
- An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems
- Discrete maximum principle for higher-order finite elements in 1D
- On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes
- On Nonobtuse Simplicial Partitions
- A monotone finite element scheme for convection-diffusion equations
- A Fast Iterative Algorithm for Elliptic Interface Problems
- Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
- Failure of the discrete maximum principle for an elliptic finite element problem
- Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence