FOSLL* method for the eddy current problem with three-dimensional edge singularities

Eunjung Lee, Thomas A. Manteuffel

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

In the case that the domain has reentrant edges, the standard finite element method loses its global accuracy because of singularities on the boundary. To overcome this difficulty, FOSLL* is applied in this paper. FOSLL* is a methodology for solving PDEs using the dual operator. Here, a modified FOSLL* method is developed that employs a partially weighted functional and allows the use of a standard finite element scheme without losing global accuracy.

Original languageEnglish
Pages (from-to)787-809
Number of pages23
JournalSIAM Journal on Numerical Analysis
Volume45
Issue number2
DOIs
Publication statusPublished - 2007 Dec 1

Fingerprint

Edge Singularity
Eddy Current Problem
Eddy currents
Three-dimensional
Finite Element Method
Singularity
Finite Element
Finite element method
Methodology
Operator
Standards

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

Cite this

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FOSLL* method for the eddy current problem with three-dimensional edge singularities. / Lee, Eunjung; Manteuffel, Thomas A.

In: SIAM Journal on Numerical Analysis, Vol. 45, No. 2, 01.12.2007, p. 787-809.

Research output: Contribution to journalArticle

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