Maximum-norm stability and maximal \(L^p\) regularity of FEMs for parabolic equations with Lipschitz continuous coefficients (Q500360)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum-norm stability and maximal \(L^p\) regularity of FEMs for parabolic equations with Lipschitz continuous coefficients |
scientific article |
Statements
Maximum-norm stability and maximal \(L^p\) regularity of FEMs for parabolic equations with Lipschitz continuous coefficients (English)
0 references
2 October 2015
0 references
The author studies the semi-discrete continuous Galerkin finite element method (FEM) for parabolic equations with Lipschitz continuous coefficients (as opposed to coefficients being smooth enough). The author proves the maximum-norm stability estimate leading to a maximum-norm error estimate. Based on a semigroup estimate, an \(L^p\) error estimate and a maximal \(L^p\) regularity are established.
0 references
finite element method
0 references
parabolic equations
0 references
maximum-norm stability
0 references
error estimate
0 references
semigroup estimate
0 references
semidiscretization
0 references
Galerkin method
0 references
Lipschitz continuous coefficients
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
