A least-squares method for second order noncoercive elliptic partial differential equations
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Abstract:
In this paper, we consider a least-squares method proposed by Bramble, Lazarov and Pasciak (1998) which can be thought of as a stabilized Galerkin method for noncoercive problems with unique solutions. We modify their method by weakening the strength of the stabilization terms and present various new error estimates. The modified method has all the desirable properties of the original method; indeed, we shall show some theoretical properties that are not known for the original method. At the same time, our numerical experiments show an improvement of the method due to the modification.References
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Additional Information
- JaEun Ku
- Affiliation: Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, Indiana 47907-2067
- Email: jku@math.purdue.edu
- Received by editor(s): November 2, 2004
- Received by editor(s) in revised form: July 7, 2005
- Published electronically: September 28, 2006
- Additional Notes: Research supported in part by NSF grant DMS-0071412.
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 76 (2007), 97-114
- MSC (2000): Primary 65N30; Secondary 65N15
- DOI: https://doi.org/10.1090/S0025-5718-06-01906-5
- MathSciNet review: 2261013