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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer-Verlag

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DOI

10.1016/j.bbr.2006.09.016

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0945-3245

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Crouzeix–Raviart boundary elements

Authors: Norbert Heuer FranciscoJavier Sayas
Publish Date: 2009/02/03
Volume: 112, Issue: 3, Pages: 381-401
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Abstract

This paper establishes a foundation of nonconforming boundary elements We present a discrete weak formulation of hypersingular integral operator equations that uses Crouzeix–Raviart elements for the approximation The cases of closed and open polyhedral surfaces are dealt with We prove that for shape regular elements this nonconforming boundary element method converges and that the usual convergence rates of conforming elements are achieved Key ingredient of the analysis is a discrete Poincaré–Friedrichs inequality in fractional order Sobolev spaces A numerical experiment confirms the predicted convergence of Crouzeix–Raviart boundary elements

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