Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem
Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem
复制标题
演化外斯托克斯问题的边界积分求解器
DOI：
10.1137/14099173x
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
F. Sayas
中科院分区：
文献类型：
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作者：
C. Bacuta;M. Hassell;G. Hsiao;F. Sayas
本文提出并分析了具有Dirichlet边界条件的外瞬态Stokes问题的完全离散化方法。该方法基于单层边界积分表示，在空间变量上采用伽辽金半离散化，在时间变量上采用多步卷积求积分。收敛估计是基于拉普拉斯域分析，它转化为外部布林克曼问题的详细研究。给出了一些数值实验。
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.