On discrete maximum principles for nonlinear elliptic problems
Copyright policy )On discrete maximum principles for nonlinear elliptic problems
The authors give a short review of the most important results devoted to discrete counterparts of the maximum principle associated with scalar second-order elliptic equations (called discrete maximum principles, DMPs), mainly in the framework of the finite element method. They then present their own results on DMPs for a class of second-order nonlinear elliptic problems with mixed boundary conditions.
- University of Helsinki Finland
- Czech Academy of Sciences Czech Republic
- National Academy of Sciences of Ukraine Ukraine
- Eötvös Loránd University Hungary
- Institute of Mathematics Ukraine
nonlinear elliptic problem, Error bounds for boundary value problems involving PDEs, Nonlinear boundary value problems for linear elliptic equations, finite element method, mixed boundary conditions, discrete maximum principle, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, second-order nonlinear elliptic problems, Maximum principles in context of PDEs
nonlinear elliptic problem, Error bounds for boundary value problems involving PDEs, Nonlinear boundary value problems for linear elliptic equations, finite element method, mixed boundary conditions, discrete maximum principle, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, second-order nonlinear elliptic problems, Maximum principles in context of PDEs
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