Name
Title | ||
|---|---|---|
Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global L2 norm |
Abstract | ||
|---|---|---|
A new asymptotically exact a posteriori error estimator is developed for first-order div least-squares (LS) finite element methods. Let (uh,h) be LS approximate solution for (u,=Au). Then, E=A1/2(h+Auh)0 is asymptotically exact a posteriori error estimator for A1/2(uuh)0 or A1/2(h)0 depending on the order of approximate spaces for and u. For E to be asymptotically exact for A1/2(uuh)0, we require higher order approximation property for , and vice versa. When both Au and are approximated in the same order of accuracy, the estimator becomes an equivalent error estimator for both errors. The underlying mesh is only required to be shape regular, i.e., it does not require quasi-uniform mesh nor any special structure for the underlying meshes. Confirming numerical results are provided and the performance of the estimator is explored for other choice of spaces for (uh,h). |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.camwa.2015.05.010 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Least-squares,Finite element methods,Error estimates | Least squares,Order of accuracy,Mathematical optimization,Polygon mesh,Mathematical analysis,A priori and a posteriori,Finite element method,Norm (mathematics),Approximation property,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
70 | 4 | 0898-1221 |
Citations | PageRank | References |
1 | 0.37 | 15 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| zhiqiang cai | 1 | 344 | 78.81 |
| Varis Carey | 2 | 1 | 0.37 |
| JaEun Ku | 3 | 14 | 6.30 |
| Eun-Jae Park | 4 | 83 | 17.82 |