Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations

نویسندگان

چکیده

In this paper we study parametric trace finite element (TraceFEM) and surface (SFEM) discretizations of a Stokes problem. These methods are applied both to the problem in velocity-pressure formulation stream function formulation. A class higher order is presented unified framework. Numerical efficiency aspects two formulations discussed systematic comparison TraceFEM SFEM given. benchmark introduced which scalar reference quantity defined numerically determined.

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ژورنال

عنوان ژورنال: SIAM Journal on Scientific Computing

سال: 2022

ISSN: ['1095-7197', '1064-8275']

DOI: https://doi.org/10.1137/21m1403126