Mixed hp-finite element approximations on geometric edge and boundary layer meshes in three dimensions
Open access
Date
2001-02Type
- Report
ETH Bibliography
yes
Altmetrics
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]. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004289354Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Mixed methods; hp finite elements; spectral elements; anisotropic meshesOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
More
Show all metadata
ETH Bibliography
yes
Altmetrics