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Zbl 0913.65099
Rieder, Andreas
A domain embedding method for Dirichlet problems in arbitrary space dimension. (English)
[J] RAIRO, Modélisation Math. Anal. Numér. 32, No.4, 405-431 (1998). ISSN 0764-583X

Author's abstract: An embedding method for the discretization of Dirichlet boundary value problems over general domains in arbitrary space dimension is proposed. The main advantage of the method lies in the use of Cartesian coordinates independent of the underlying domain. Error estimates and aspects of the numerical realization are considered. To obtain an efficient solver for the resulting linear system of equations an easy-to-use preconditioning is recommended and analyzed. A variety of numerical experiments illustrate and confirm the theoretical results.
[Th.Sonar (Hamburg)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems
65N15 Error bounds (BVP of PDE)
65F10 Iterative methods for linear systems
65F35 Matrix norms, etc. (numerical linear algebra)

Keywords: domain embedding method; Dirichlet problems; error estimates; preconditioning; numerical experiments

Cited in: Zbl 0985.65149

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