Name
Abstract | ||
|---|---|---|
In this paper we define an a posteriori error estimator for finite element approximations of 3-d elliptic problems. We prove that the estimator is equivalent, up to logarithmic factors of the meshsize, to the maximum norm of the error. The results are valid for an arbitrary polyhedral domain and rather general meshes. We also obtain analogous results for the nonconforming method of Crouzeix--Raviart. Finally, we present some numerical results comparing adaptive procedures based on controlling the error in different norms. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1137/S0036142998340253 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
adaptive procedure,three-dimensional elliptic problems,3-d elliptic problem,posteriori error estimator,analogous result,general mesh,different norm,nonconforming method,arbitrary polyhedral domain,maximum norm error estimators,maximum norm,finite element approximation,three dimensional,a posteriori | Mathematical optimization,Polygon mesh,Dirichlet problem,Mathematical analysis,A priori and a posteriori,Sobolev space,Finite element method,Logarithm,Mathematics,Elliptic curve,Estimator | Journal |
Volume | Issue | ISSN |
37 | 2 | 0036-1429 |
Citations | PageRank | References |
13 | 3.49 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| E. Dari | 1 | 13 | 3.49 |
| R. G. Durán | 2 | 98 | 21.57 |
| C. Padra | 3 | 14 | 3.87 |