A new a posteriori error estimator in adaptive direct boundary element methods Part I The Dirichlet problem
نویسندگان
چکیده
In this paper we propose a new a posteriori error estimator for a weakly singular integral equation concerned with a direct boundary element ap proach for a Dirichlet problem with a second order elliptic partial di er ential operator The method is based on an approximate solution of a second kind Fredholm integral equation by a Neumann series to estimate the error of a previous computed solution of an arbitrary boundary ele ment method for example a Galerkin method collocation or qualocation Due to the solution of this error equation the proposed estimator provides a high accuracy Since our method is based on standard techniques which are available in every boundary element code it is easy to implement Subject classi cations AMS MOS N R D L
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