Name
Title | ||
|---|---|---|
Besov regularity and new error estimates for finite volume approximations of the p-laplacian |
Abstract | ||
|---|---|---|
In [1], we have constructed a family of finite volume schemes on rectangular meshes for the p-laplacian and we proved error estimates in case the exact solution lies in W2,p. Actually, W2,p is not a natural space for solutions of the p-laplacian in the case p2. Indeed, for general Lp’ data it can be shown that the solution only belongs to the Besov space **.In this paper, we prove Besov kind a priori estimates on the approximate solution for any data in Lp’. We then obtain new error estimates for such solutions in the case of uniform meshes |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s00211-005-0591-8 | Numerische Mathematik |
Keywords | Field | DocType |
new error estimate,exact solution,approximate solution,natural space,finite volume approximation,general lp,error estimate,besov kind,case p2,besov space,besov regularity,finite volume scheme,finite volume | Exact solutions in general relativity,Mathematical optimization,Polygon mesh,Mathematical analysis,A priori and a posteriori,Approximations of π,Besov space,Numerical analysis,Finite volume method,Mathematics,p-Laplacian | Journal |
Volume | Issue | ISSN |
100 | 4 | 0945-3245 |
Citations | PageRank | References |
4 | 0.65 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Boris Andreianov | 1 | 27 | 5.70 |
| Franck Boyer | 2 | 35 | 5.19 |
| Florence Hubert | 3 | 44 | 5.50 |