Rapid Solution of Stokes Flow using Multiscale Galerkin BEM
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چکیده
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.
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