On Function Spaces Related to Finite Element Approximation Theory

  • Peter Oswald

    Jacobs-Universität Bremen, Germany

Abstract

Certain function spaces of Besov type based on triangular finite elements in a two-dimensional domain are introduced and investigated. These spaces allow a systematic approach to the main estimates of finite element approximation theory in Besov-Sobolev norms, to the problem of improving the rate of approximation by choosing appropriate triangulations, and to asymptotic error estimates for elliptic boundary value problems.

Cite this article

Peter Oswald, On Function Spaces Related to Finite Element Approximation Theory. Z. Anal. Anwend. 9 (1990), no. 1, pp. 43–64

DOI 10.4171/ZAA/380