BOUNDARY INTEGRAL SOLVERS FOR AN EVOLUTIONARY EXTERIOR STOKES PROBLEM

作者:Bacuta Constantin*; Hassell Matthew E; Hsiao George C; Sayas Francisco Javier
来源:SIAM Journal on Numerical Analysis, 2015, 53(3): 1370-1392.
DOI:10.1137/14099173X

摘要

This paper proposes and analyzes a full discretization of the exterior transient Stokes problem with Dirichlet boundary conditions. The method is based on a single layer boundary integral representation, using Galerkin semidiscretization in the space variables and multistep convolution quadrature in time. Convergence estimates are based on a Laplace domain analysis, which translates into a detailed study of the exterior Brinkman problem. Some numerical experiments are provided.

  • 出版日期2015