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 language | English |
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Pages (from-to) | 1619-1639 |
Number of pages | 21 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 46 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2008 Nov 10 |
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All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
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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 journal › Article
TY - JOUR
T1 - Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities
AU - Lee, Eunjung
AU - Manteuffel, T. A.
AU - Westphal, C. R.
PY - 2008/11/10
Y1 - 2008/11/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=55349109992&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=55349109992&partnerID=8YFLogxK
U2 - 10.1137/06067345X
DO - 10.1137/06067345X
M3 - Article
AN - SCOPUS:55349109992
VL - 46
SP - 1619
EP - 1639
JO - SIAM Journal on Numerical Analysis
JF - SIAM Journal on Numerical Analysis
SN - 0036-1429
IS - 3
ER -