Pollution-error in the h-version of the finite-element method and the local quality of a-posteriori error estimators uri icon

abstract

  • In this paper we study the pollution-error in the h-version of the finite element method and its effect on the local quality of a-posteriori error estimators. We show that the pollution-effect in an interior subdomain depends on the relationship between the mesh inside and outside the subdomain and the smoothness of the exact solution. We also demonstrate that it is possible to guarantee the quality of local error estimators in any mesh-patch in the interior of a finite-element mesh by employing meshes which are sufficiently refined outside the patch. 1994.

published proceedings

  • Finite Elements in Analysis and Design

author list (cited authors)

  • Babuka, I., Strouboulis, T., Mathur, A., & Upadhyay, C. S.

citation count

  • 59

complete list of authors

  • Babuška, I||Strouboulis, T||Mathur, A||Upadhyay, CS

publication date

  • January 1994