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A robust boundary element method for nearly incompressible linear elasticity

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Summary.

For a Dirichlet boundary value problem in linear elasticity we consider a boundary element method which is robust for nearly incompressible materials. Based on the spectral properties of the single layer potential for the Stokes problem we introduce an orthogonal splitting of the trial space. The resulting variational problem is then well conditioned and can be discretized by using standard boundary element methods.

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  1. Institut für Angewandte Analysis und Numerische Simulation, Universität Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany

    O. Steinbach

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  1. O. Steinbach
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Correspondence to O. Steinbach.

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Mathematics Subject Classification (1991): 65N38

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Steinbach, O. A robust boundary element method for nearly incompressible linear elasticity. Numer. Math. 95, 553–562 (2003). https://doi.org/10.1007/s00211-002-0449-2

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  • DOI: https://doi.org/10.1007/s00211-002-0449-2

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