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.

翻译：在本文中,我们研究了表面斯托克斯问题的参数 TraceFEM和地表参数FEM(SFEM)离散问题,这些方法既适用于速度压力配制中的斯托克斯问题,也适用于流函数配制中的斯托克斯问题,在统一的框架内提出了一类较高的排序方法,讨论了两种配方的数值效率问题,并系统地比较了TraceFEM和SFEM。 引入了一个基准问题,其中界定了标度参考量,并用数字确定了参考量。