Skip to main content
Log in

Adaptive finite element methods for elliptic equations with non-smooth coefficients

  • Original article
  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Summary. We consider a second-order elliptic equation with discontinuous or anisotropic coefficients in a bounded two- or three dimensional domain, and its finite-element discretization. The aim of this paper is to prove some a priori and a posteriori error estimates in an appropriate norm, which are independent of the variation of the coefficients.

Résumé.

Nous considérons une équation elliptique du second ordre à coefficients discontinus ou anisotropes dans un domaine borné en dimension 2 ou 3, et sa discrétisation par éléments finis. Le but de cet article est de démontrer des estimations d'erreur a priori et a posteriori dans une norme appropriée qui soient indépendantes de la variation des coefficients.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Additional information

Received February 5, 1999 / Published online March 16, 2000

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bernardi, C., Verfürth, R. Adaptive finite element methods for elliptic equations with non-smooth coefficients. Numer. Math. 85, 579–608 (2000). https://doi.org/10.1007/PL00005393

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00005393

Navigation