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.
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Received March 20, 1997 / Revised version received January 14, 1998
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Klawonn, A., Starke, G. Block triangular preconditioners for nonsymmetric saddle point problems: field-of-values analysis. Numer. Math. 81, 577–594 (1999). https://doi.org/10.1007/s002110050405
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DOI: https://doi.org/10.1007/s002110050405