Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations

Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung

Beitragende

Abstract

In this paper we study parametric TraceFEM and parametric SurfaceFEM (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

OriginalspracheEnglisch
Aufsatznummer4
Seiten (von - bis)A1807-A1832
FachzeitschriftSIAM Journal on Scientific Computing
Jahrgang44
Ausgabenummer4
PublikationsstatusVeröffentlicht - 5 Juli 2022
Peer-Review-StatusJa

Externe IDs

Scopus 85131602137
Mendeley be83627a-a729-3134-9ad5-10e6f7ac44bb
dblp journals/siamsc/BrandnerJPRV22
WOS 000863909200001

Schlagworte

Forschungsprofillinien der TU Dresden

  • Biophysik und Bioengineering - 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
  • Funktionale Materialien und Werkstoffe - 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
  • Datenintensive Wissenschaften - 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
  • Gesellschaftlicher Wandel - 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

DFG-Fachsystematik nach Fachkollegium

  • Mathematik - 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

Fächergruppen, Lehr- und Forschungsbereiche, Fachgebiete nach Destatis

  • Angewandte Mathematik - 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

ASJC Scopus Sachgebiete

  • Computational Mathematics - 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
  • Angewandte Mathematik - 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

Schlagwörter

  • 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

Bibliotheksschlagworte

  • 510 Mathematik - 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