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Boundary integral solvers for an evolutionary exterior Stokes problem

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.

preprint2014arXivOpen access
Constantin BacutaMatthew E. HassellGeorge C. HsiaoFrancisco-Javier Sayas
math.NA
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Open access4 authors1 topic
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Constantin BacutaMatthew E. HassellGeorge C. HsiaoFrancisco-Javier Sayas

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