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A least-squares method for second order noncoercive elliptic partial differential equations
Author(s):
JaEun
Ku.
Journal:
Math. Comp.
76
(2007),
97-114.
MSC (2000):
Primary 65N30;
Secondary 65N15
Posted:
September 28, 2006
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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.
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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
DOI:
10.1090/S0025-5718-06-01906-5
PII:
S 0025-5718(06)01906-5
Keywords:
Least-squares,
stabilized Galerkin method,
error estimates
Received by editor(s):
November 2, 2004
Received by editor(s) in revised form:
July 7, 2005.
Posted:
September 28, 2006
Additional Notes:
Research supported in part by NSF grant DMS-0071412.
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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