Boundary integral solvers for an evolutionary exterior Stokes problem
Numerical Analysis
2014-10-14 v1
Abstract
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.
Cite
@article{arxiv.1410.3445,
title = {Boundary integral solvers for an evolutionary exterior Stokes problem},
author = {Constantin Bacuta and Matthew E. Hassell and George C. Hsiao and Francisco-Javier Sayas},
journal= {arXiv preprint arXiv:1410.3445},
year = {2014}
}