Volume 10, Issue 3
A-Posteriori Local Error Estimates of Boundary Element Methods with Some Pseudo-Differential Equations on Closed Curves

W. L. Wendland & De-hao Yu

DOI:

J. Comp. Math., 10 (1992), pp. 273-289

Published online: 1992-10

Preview Full PDF 108 1668
Export citation
  • Abstract

In this paper we show local error estimates for the Galerkin finit 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-10-273, author = {}, title = {A-Posteriori Local Error Estimates of Boundary Element Methods with Some Pseudo-Differential Equations on Closed Curves}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {3}, pages = {273--289}, abstract = { In this paper we show local error estimates for the Galerkin finit 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9360.html} }
TY - JOUR T1 - A-Posteriori Local Error Estimates of Boundary Element Methods with Some Pseudo-Differential Equations on Closed Curves JO - Journal of Computational Mathematics VL - 3 SP - 273 EP - 289 PY - 1992 DA - 1992/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9360.html KW - AB - In this paper we show local error estimates for the Galerkin finit 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.
W. L. Wendland & De-hao Yu. (1970). A-Posteriori Local Error Estimates of Boundary Element Methods with Some Pseudo-Differential Equations on Closed Curves. Journal of Computational Mathematics. 10 (3). 273-289. doi:
Copy to clipboard
The citation has been copied to your clipboard