Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities

Eunjung Lee, T. A. Manteuffel, C. R. Westphal

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

A weighted-norm first-order system least-squares (FOSLS) method for div/curl problems with edge singularities is presented. Traditional finite element methods, including least-squares methods, often suffer from a global loss of accuracy due to the influence of a nonsmooth solution near polyhedral edges. By minimizing a modified least-squares functional, optimal accuracy in weighted and nonweighted norms is recovered. Error estimates with and without mesh refinements are presented, and numerical results are given to confirm the theory.

Original languageEnglish
Pages (from-to)1619-1639
Number of pages21
JournalSIAM Journal on Numerical Analysis
Volume46
Issue number3
DOIs
Publication statusPublished - 2008 Nov 10

Fingerprint

Edge Singularity
Weighted Norm
Curl
First-order System
Least Square Method
Least Squares
Finite element method
Three-dimensional
Mesh Refinement
Error Estimates
Finite Element Method
Norm
Numerical Results
Influence

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities. / Lee, Eunjung; Manteuffel, T. A.; Westphal, C. R.

In: SIAM Journal on Numerical Analysis, Vol. 46, No. 3, 10.11.2008, p. 1619-1639.

Research output: Contribution to journalArticle

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