Title | ||
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A least-squares method for second order noncoercive elliptic partial differential equations |
Abstract | ||
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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 |
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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 |