A high-order, analytically divergence-free discretization method for Darcy's problem

Abstract

We develop and analyze a meshfree discretization method for Darcy’s problem. Our approximation scheme is based upon optimal recovery which leads to a collocation scheme using divergence-free positive definite kernels. Besides producing analytically incompressible flow fields, our method can be of arbitrary order, works in arbitrary space dimension and for… (More)
DOI: 10.1090/S0025-5718-2010-02388-9

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