Stokes elements on cubic meshes yielding divergence-free approximations
| Autor: | Michael Neilan, Duygu Sap |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Polynomial
Algebra and Number Theory Numerical analysis Mathematical analysis 010103 numerical & computational mathematics 01 natural sciences Stability (probability) Finite element method 010101 applied mathematics Computational Mathematics Convergence (routing) Piecewise Polygon mesh 0101 mathematics Divergence (statistics) Mathematics |
| Zdroj: | Calcolo. 53:263-283 |
| ISSN: | 1126-5434 0008-0624 |
| DOI: | 10.1007/s10092-015-0148-x |
| Popis: | Conforming piecewise polynomial spaces with respect to cubic meshes are constructed for the Stokes problem in arbitrary dimensions yielding exactly divergence-free velocity approximations. The derivation of the finite element pair is motivated by a smooth de Rham complex that is well-suited for the Stokes problem. We derive the stability and convergence properties of the new elements as well as the construction of reduced elements with less global unknowns. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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