Two-sided a posteriori error bounds for electro-magnetostatic problems

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

  • D. Pauly - , Institut für Analysis, Universität Duisburg-Essen (Autor:in)
  • S. Repin - , RAS - Saint Petersburg Department of Steklov Institute of Mathematics (Autor:in)

Abstract

This paper is concerned with the derivation of computable and guaranteed upper and lower bounds of the difference between exact and approximate solutions of a boundary value problem for static Maxwell equations. Our analysis is based upon purely functional argumentation and does not invoke specific properties of the approximation method. For this reason, the estimates derived in the paper at hand are applicable to any approximate solution that belongs to the corresponding energy space. Such estimates (also called error majorants of the functional type) have been derived earlier for elliptic problems. Bibliography: 24 titles.

Details

OriginalspracheEnglisch
Seiten (von - bis)53-62
Seitenumfang10
FachzeitschriftJournal of Mathematical Sciences
Jahrgang166
Ausgabenummer1
PublikationsstatusVeröffentlicht - März 2010
Peer-Review-StatusJa

Externe IDs

ORCID /0000-0003-4155-7297/work/145224253