Name
Title | ||
|---|---|---|
MAXIMAL L-p ANALYSIS OF FINITE ELEMENT SOLUTIONS FOR PARABOLIC EQUATIONS WITH NONSMOOTH COEFFICIENTS IN CONVEX POLYHEDRA |
Abstract | ||
|---|---|---|
The paper is concerned with Galerkin finite element solutions of parabolic equations in a convex polygon or polyhedron with a diffusion coefficient in W-1,W-N+alpha for some alpha > 0, where N denotes the dimension of the domain. We prove the analyticity of the semigroup generated by the discrete elliptic operator, the discrete maximal L-p regularity and the optimal L-p error estimate of the finite element solution for the parabolic equation. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1090/mcom/3133 | MATHEMATICS OF COMPUTATION |
DocType | Volume | Issue |
Journal | 86 | 305 |
ISSN | Citations | PageRank |
0025-5718 | 5 | 0.57 |
References | Authors | |
6 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Buyang Li | 1 | 170 | 21.10 |
| Weiwei Sun | 2 | 154 | 15.12 |