ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65F10, 65N30
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. A preconditioned minimal residual method for nonsymmetric saddle point problems is analyzed. The proposed preconditioner is of block triangular form. The aim of this article is to show that a rigorous convergence analysis can be performed by using the field of values of the preconditioned linear system. As an example, a saddle point problem obtained from a mixed finite element discretization of the Oseen equations is considered. The convergence estimates obtained by using a field–of–values analysis are independent of the discretization parameter h. Several computational experiments supplement the theoretical results and illustrate the performance of the method.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050405
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