Name
Abstract | ||
|---|---|---|
A family ηα, α∈[0,1], of residual-based error indicators for the hp-version of the finite element method is presented and analyzed. Upper and lower bounds for the error indicators ηα are established. To do so, the well-known Clément/Scott–Zhang interpolation operator is generalized to the hp-context and new polynomial inverse estimates are presented. An hp-adaptive strategy is proposed. Numerical examples illustrate the performance of the error indicators and the adaptive strategy. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1023/A:1014268310921 | Advances in Computational Mathematics |
Keywords | Field | DocType |
a posteriori error estimation, adaptivity, hp-FEM, Clément interpolant, polynomial inverse estimates | Inverse,Residual,Mathematical optimization,Polynomial,Upper and lower bounds,A priori and a posteriori,Interpolation,Finite element method,Mathematics,hp-FEM | Journal |
Volume | Issue | ISSN |
15 | 1 | 1572-9044 |
Citations | PageRank | References |
38 | 7.40 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jens Markus Melenk | 1 | 133 | 24.18 |
| Barbara I. Wohlmuth | 2 | 320 | 50.97 |