Numerische Mathematik

, Volume 75, Issue 2, pp 153–174 | Cite as

Symmetric coupling of boundary elements and Raviart–Thomas-type mixed finite elements in elastostatics

  • Ulrich Brink
  • Carsten Carstensen
  • Erwin Stein

Summary.

Both mixed finite element methods and boundary integral methods are important tools in computational mechanics according to a good stress approximation. Recently, even low order mixed methods of Raviart–Thomas-type became available for problems in elasticity. Since either methods are robust for critical Poisson ratios, it appears natural to couple the two methods as proposed in this paper. The symmetric coupling changes the elliptic part of the bilinear form only. Hence the convergence analysis of mixed finite element methods is applicable to the coupled problem as well. Specifically, we couple boundary elements with a family of mixed elements analyzed by Stenberg. The locking-free implementation is performed via Lagrange multipliers, numerical examples are included.

Mathematics Subject Classification (1991):65N30, 65R20 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Ulrich Brink
    • 1
  • Carsten Carstensen
    • 2
  • Erwin Stein
    • 1
  1. 1.Institut für Baumechanik und Numerische Mechanik, Universität Hannover, D-30167 Hannover, GermanyDE
  2. 2.Mathematisches Seminar II, Christian-Albrechts-Universität zu Kiel, D-24098 Kiel, GermanyDE

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