Numerische Mathematik

, Volume 84, Issue 4, pp 679–695 | Cite as

On a hybrid boundary element method

  • Olaf Steinbach
Original article


In this paper we study a symmetric boundary element method based on a hybrid discretization of the Steklov–Poincaré operator well suited for a symmetric coupling of finite and boundary elements. The representation used involves only single and double layer potentials and does not require the discretization of the hypersingular integral operator as in the symmetric formulation. The stability of the hybrid Galerkin discretization is based on a BBL–like stability condition for the trial spaces. Numerical examples confirm the theoretical results.

Mathematics Subject Classification (1991): 65N12, 65N22, 65N38 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Olaf Steinbach
    • 1
  1. 1.Mathematisches Institut A, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany; e-mail: DE

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