Name
Title | ||
|---|---|---|
Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations. |
Abstract | ||
|---|---|---|
We establish the maximal p-regularity for fully discrete finite element solutions of parabolic equations with time-dependent Lipschitz continuous coefficients. The analysis is based on a discrete l(P)(W-1,W-q) estimate together with a duality argument and a perturbation method. Optimal order error estimates of fully discrete finite element solutions in the norm of l(P)(L-q) follows immediately. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M1071912 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
nonlinear parabolic equations,BDF methods,discrete maximal parabolic regularity,maximum-norm error analysis,energy technique,time-dependent norms | Parabolic partial differential equation,Perturbation method,Mathematical optimization,Mathematical analysis,Nonlinear parabolic equations,Finite element method,Duality (optimization),Lipschitz continuity,Mathematics | Journal |
Volume | Issue | ISSN |
55 | 2 | 0036-1429 |
Citations | PageRank | References |
5 | 0.53 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Buyang Li | 1 | 170 | 21.10 |
| Weiwei Sun | 2 | 154 | 15.12 |