A finite element convergence analysis for 3D Stokes equations in case of variational crimes |
| |
Authors: | Petr Knobloch |
| |
Institution: | (1) Institute of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University, Malostranské námstí 25, 118 00 Praha 1, Czech Republic |
| |
Abstract: | We investigate a finite element discretization of the Stokes equations with nonstandard boundary conditions, defined in a bounded three-dimensional domain with a curved, piecewise smooth boundary. For tetrahedral triangulations of this domain we prove, under general assumptions on the discrete problem and without any additional regularity assumptions on the weak solution, that the discrete solutions converge to the weak solution. Examples of appropriate finite element spaces are given. |
| |
Keywords: | Stokes equations nonstandard boundary conditions finite element method approximation of boundary |
本文献已被 SpringerLink 等数据库收录! |
|