Mixed hp-finite element approximations on geometric edge and boundary layer meshes in three dimensions
Open access
Datum
2001-02Typ
- Report
ETH Bibliographie
yes
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Abstract
In this paper, we consider the Stokes problem in a three-dimensional polyhedral domain discretized with hp finite elements of type Qk for the velocity and Qk-2 for the pressure, defined on hexahedral meshes anisotropically and non quasi-uniformly refined towards faces, edges, and corners. The inf-sup constant of the discretized problem is independent of arbitrarily large aspect ratios and exhibits the same dependence on k as in in the case of isotropically refined meshes. Our work generalizes a recent result for two-dimensional problems in [8,9]. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-a-004289354Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
SAM Research ReportBand
Verlag
Seminar for Applied Mathematics, ETH ZurichThema
Mixed methods; hp finite elements; spectral elements; anisotropic meshesOrganisationseinheit
03435 - Schwab, Christoph / Schwab, Christoph
ETH Bibliographie
yes
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