Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
Numerical Analysis
2023-09-06 v2 Numerical Analysis
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.
Cite
@article{arxiv.2103.03843,
title = {Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations},
author = {Philip Brandner and Thomas Jankuhn and Simon Praetorius and Arnold Reusken and Axel Voigt},
journal= {arXiv preprint arXiv:2103.03843},
year = {2023}
}
Comments
28 pages