Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem

DOI10.1137/14099173XzbMath1316.65082arXiv1410.3445OpenAlexW1526113433MaRDI QIDQ5252801

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

Publication date: 3 June 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3445

zbMATH Keywords

convergenceboundary element methodnumerical experimentsconvolution quadratureexterior Stokes problemGalerkin semidiscretizationexterior Brinkman problem

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (10)

The Galerkin boundary element method for transient Stokes flow ⋮ The Sampling Method for Inverse Exterior Stokes Problems ⋮ Quadrature for parabolic Galerkin BEM with moving surfaces ⋮ Time-Domain Boundary Integral Methods in Linear Thermoelasticity ⋮ Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems ⋮ Layer potentials and Poisson problems for the nonsmooth coefficient Brinkman system in Sobolev and Besov spaces ⋮ Variational approach for the Stokes and Navier-Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds ⋮ Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L_∞ strongly elliptic coefficient tensor ⋮ Time-domain boundary integral equation modeling of heat transmission problems ⋮ Boundary value problems for the Brinkman system with \(L^\infty\) coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach

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