Name
Abstract | ||
|---|---|---|
Summary. This paper generalizes the idea of approximation on sparse grids to discrete differential forms that include )- and -conforming mixed finite element spaces as special cases. We elaborate on the construction of the spaces, introduce suitable
nodal interpolation operators on sparse grids and establish their approximation properties. We discuss how nodal interpolation
operators can be approximated. The stability of -conforming finite elements on sparse grids, when used to approximate second order elliptic problems in mixed formulation,
is investigated both theoretically and in numerical experiments.
|
Year | DOI | Venue |
|---|---|---|
2003 | 10.1007/s002110100382 | Numerische Mathematik |
Keywords | Field | DocType |
approximation property,differential forms,sparse grids,finite element | Mathematical analysis,Interpolation,Finite element method,Operator (computer programming),Sparse grid,Partial differential equation,Hypercube,Numerical stability,Elliptic curve,Mathematics | Journal |
Volume | Issue | ISSN |
93 | 3 | 0029-599X |
Citations | PageRank | References |
1 | 0.38 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| V. Gradinaru | 1 | 8 | 3.01 |
| R. Hiptmair | 2 | 199 | 38.97 |