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 |
|---|---|
| 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 |
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
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Lee, E., Manteuffel, T. A., & Westphal, C. R. (2008). Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities. SIAM Journal on Numerical Analysis, 46(3), 1619-1639. https://doi.org/10.1137/06067345X