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Rapid Solution of Stokes Flow using Multiscale Galerkin BEM
Author(s) -
Tausch J.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<8::aid-pamm8>3.0.co;2-n
Subject(s) - stokes flow , laplace transform , galerkin method , laplace's equation , flow (mathematics) , mathematics , mathematical analysis , extension (predicate logic) , work (physics) , stiffness , integral equation , boundary value problem , physics , computer science , geometry , finite element method , programming language , thermodynamics
Two issues that arise when solving Stokes flow problems with the hydrodynamical single‐layer potential are addressed. First, the resulting boundary integral equation is singular, and second, discretizations lead to dense matrices. We discuss a well‐posed modified equation which is equivalent for zero net‐flux. Furthermore, we describe a multiscale basis that lead to sparse stiffness matrices. This approach is suitable for complicated geometries and is an extension of our previous work for the Laplace equation.