Name
Abstract | ||
|---|---|---|
A new computable a posteriori error estimator is introduced, which relies on the solution of small discrete problems on stars. It exhibits built-in flux equilibration and is equivalent to the energy error up to data oscillation without any saturation assumption. A simple adaptive strategy is designed, which simultaneously reduces error and data oscillation, and is shown to converge without mesh pre-adaptation nor explicit knowledge of constants. Numerical experiments reveal a competitive performance, show extremely good effectivity indices, and yield quasi-optimal meshes. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1090/S0025-5718-02-01463-1 | Math. Comput. |
Keywords | Field | DocType |
posteriori error estimator,new computable,mesh pre-adaptation,explicit knowledge,data oscillation,good effectivity index,energy error,built-in flux equilibration,numerical experiment,stars,competitive performance,convergence,performance.,adaptivity,local problem,. a posteriori error estimators,local problems,performance,oscillations | Convergence (routing),Mathematical optimization,Oscillation,Polygon mesh,Computer simulation,A priori and a posteriori,Numerical analysis,Partial differential equation,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
72 | 243 | 0025-5718 |
Citations | PageRank | References |
35 | 4.86 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pedro Morin | 1 | 331 | 47.99 |
| Ricardo H. Nochetto | 2 | 907 | 110.08 |
| Kunibert G. Siebert | 3 | 471 | 51.43 |