Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
In this paper we study parametric trace finite element (TraceFEM) and parametric surface finite element (SFEM) discretizations of a surface Stokes problem. These methods are applied both to the Stokes problem in velocity-pressure formulation and in stream function formulation. A class of higher order methods is presented in a unified framework. Numerical efficiency aspects of the two formulations are discussed and a systematic comparison of TraceFEM and SFEM is given. A benchmark problem is introduced in which a scalar reference quantity is defined and numerically determined.
Details
| Original language | English |
|---|---|
| Article number | 4 |
| Pages (from-to) | A1807-A1832 |
| Journal | SIAM Journal of Scientific Computing |
| Volume | 44 |
| Issue number | 4 |
| Publication status | Published - 5 Jul 2022 |
| Peer-reviewed | Yes |
External IDs
| Scopus | 85131602137 |
|---|---|
| Mendeley | be83627a-a729-3134-9ad5-10e6f7ac44bb |
| dblp | journals/siamsc/BrandnerJPRV22 |
| WOS | 000863909200001 |
Keywords
Research priority areas of TU Dresden
DFG Classification of Subject Areas according to Review Boards
Subject groups, research areas, subject areas according to Destatis
ASJC Scopus subject areas
Keywords
- surface Stokes equation, trace finite element method, TraceFEM, Surface Finite Elements, Taylor-Hood finite elements, stream function formulation, higher order surface approximation, surface finite element method, VORTICES, PDES, IMPLICIT GEOMETRIES, MOTION, INTERFACE, ERROR ANALYSIS, NAVIER-STOKES, DYNAMICS, FLOWS, DOMAINS