A-Posteriori Local Error Estimates of Boundary Element Methods with Some Pseudo-Differential Equations on Closed Curves

A-Posteriori Local Error Estimates of Boundary Element Methods with Some Pseudo-Differential Equations on Closed Curves

Year:    1992

Author:    W. L. Wendland, De-Hao Yu

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 273–289

Abstract

In this paper we show local error estimates for the Galerkin finite element method applied to strongly elliptic pseudo-differential equations on closed curves. In these local estimates the right hand sides are obtained as the sum of a local norm of the residual, which is computable, and additional terms of higher order with respect to the computable, and additional terms of higher order with respect to the meshwidth. Hence, asymptotically, here the residual is an error indicator which provides a corresponding self-adaptive boundary element method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1992-JCM-9360

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 273–289

Published online:    1992-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

Author Details

W. L. Wendland

De-Hao Yu