Numerische Mathematik

, Volume 130, Issue 2, pp 199–223 | Cite as

Stability of symmetric and nonsymmetric FEM–BEM couplings for nonlinear elasticity problems

  • M. Feischl
  • T. Führer
  • M. Karkulik
  • D. Praetorius
Article

Abstract

We consider symmetric as well as non-symmetric coupling formulations of FEM and BEM in the frame of nonlinear elasticity problems. In particular, the Johnson-Nédélec coupling is analyzed. We prove that these coupling formulations are well-posed and allow for unique Galerkin solutions if standard discretizations by piecewise polynomials are employed. Unlike prior works, our analysis does neither rely on an interior Dirichlet boundary to tackle the rigid body motions nor on any assumption on the mesh-size of the discretization used.

Mathematics Subject Classification

65N30 65N15 65N38 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • M. Feischl
    • 1
  • T. Führer
    • 1
  • M. Karkulik
    • 2
  • D. Praetorius
    • 1
  1. 1.Institute for Analysis and Scientific ComputingVienna University of TechnologyWienAustria
  2. 2.Facultad de MatemáticasPontificia Universidad Católica de ChileSantiagoChile

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