Two-Sided A Posteriori Error Bounds for Electro-Magneto Static Problems

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

This paper is concerned with the derivation of computable and guaranteed upper and lower bounds of the difference between the exact and the approximate solution of a boundary value problem for static Maxwell equations. Our analysis is based upon purely functional argumentation and does not attract specific properties of an approximation method. Therefore, 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.

Details

Original languageUndefined
Journal Zapiski naučnych seminarov POMI
Publication statusPublished - 20 May 2011
Peer-reviewedYes

External IDs

ORCID /0000-0003-4155-7297/work/145224269

Keywords

Keywords

  • math.AP, math-ph, math.MP, math.NA, 65 N 15, 78 A 30