Name
Abstract | ||
|---|---|---|
Guaranteed error control via fully discrete a posteriori error estimators is possible with typical overestimation between 1.25 and 2 in simple computer benchmarks. The equilibration techniques due to Braess and that due to Luce---Wohlmuth are efficient tools with an accuracy limited by the hyper-circle threshold. This motivates postprocessing strategies and the analysis of successive improvements of guaranteed upper error bounds with a few pcg iterations result in reduced overestimation factors between 1 and 1.25. Numerical simulations for three classes of applications illustrate the efficiency for the Poisson model problem with and without jumping coefficients or a simple obstacle problem. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s00211-012-0494-4 | Numerische Mathematik |
Keywords | Field | DocType |
65n15,65n30,65r20 | Mathematical optimization,A priori and a posteriori,Error detection and correction,Obstacle problem,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
123 | 3 | 0945-3245 |
Citations | PageRank | References |
3 | 0.43 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| C Carstensen | 1 | 944 | 163.02 |
| Christian Merdon | 2 | 62 | 7.33 |