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arXiv · 1410.3445

Boundary integral solvers for an evolutionary exterior Stokes problem

Constantin Bacuta·Matthew E. Hassell·George C. Hsiao·Francisco-Javier Sayas
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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.

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Constantin Bacuta, Matthew E. Hassell, George C. Hsiao, Francisco-Javier Sayas. 2014-10-13. Boundary integral solvers for an evolutionary exterior Stokes problem. https://arxiv.org/abs/1410.3445

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