Publication:
Domain decomposition methods for Laplace's equation by the BEM

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Wiley

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Abstract

The author suggests an optimization approach in order to enforce the interface conditions (Dirichlet and/or Neumann) in a domain decomposition algorithm. In the context of Laplace's equation he carries out two numerical examples.

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Communications in Numerical Methods in Engineering

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1069-8299

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OPEN

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domain decomposition, numerical example, Multigrid methods, domain decomposition for boundary value problems involving PDEs, algorithm, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, optimization on interfaces, Laplace's equation, Boundary element methods for boundary value problems involving PDEs, adjoint variable, boundary element method

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