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

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.

authors

• Strouboulis, Theofanis

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

publisher

• Elsevier  Publisher

published in

• Finite Elements in Analysis and Design  Journal

Digital Object Identifier (DOI)

• 10.1016/0168-874x(94)90003-5

start page

• 273

end page

• 321

volume

• 17

issue

• 4

URL

• http://dx.doi.org/10.1016/0168-874x(94)90003-5