Title
A least-squares method for second order noncoercive elliptic partial differential equations
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 modi. cation.
Year
DOI
Venue
2007
10.1090/S0025-5718-06-01906-5
MATHEMATICS OF COMPUTATION
Keywords
Field
DocType
least-squares,stabilized Galerkin method,error estimates
Least squares,Boundary value problem,Mathematical optimization,Mathematical analysis,Galerkin method,Initial value problem,Elliptic partial differential equation,Numerical analysis,Partial differential equation,Elliptic curve,Mathematics
Journal
Volume
Issue
ISSN
76
257
0025-5718
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
JaEun Ku1146.30