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- W2002488900 abstract "We develop the finite dimensional analysis of a new domain decomposition method for linear exterior boundary value problems arising in potential theory and heat conductivity. Our approach uses a Dirichlet-to-Neumann mapping to transform the exterior problem into an equivalent boundary value problem on a bounded domain. Then the domain is decomposed into a finite number of annular subregions and the local Steklov–Poincaré operators are expressed conveniently either by BEM or FEM in order to obtain a symmetric interface problem. The global Steklov–Poincaré problem is solved by using both a Richardson-type scheme and the preconditioned conjugate gradient method, which yield iteration-by-subdomain algorithms well suited for parallel processing. Finally, contractivity results and finite dimensional approximations are provided." @default.
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- W2002488900 date "2001-10-01" @default.
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- W2002488900 title "A Domain Decomposition Method Based on BEM and FEM for Linear Exterior Boundary Value Problems" @default.
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- W2002488900 doi "https://doi.org/10.1006/jmaa.2001.7537" @default.
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