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

Eunjung Lee; Thomas A. Manteuffel

doi:10.1137/050647001

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

Eunjung Lee, Thomas A. Manteuffel

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

26 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 language	English
Pages (from-to)	787-809
Number of pages	23
Journal	SIAM Journal on Numerical Analysis
Volume	45
Issue number	2
DOIs	https://doi.org/10.1137/050647001
Publication status	Published - 2007

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1137/050647001

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AB - 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.

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KW - Finite element methods

KW - Least squares

KW - Singularities

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

Abstract

All Science Journal Classification (ASJC) codes

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