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A class of iterative methods for solving saddle point problems (1989)

Bank, Randolph E. ; Welfert, Bruno D. ; Yserentant, Harry

Springer

Numerische Mathematik 56 (1989), S. 645-666

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ISSN: 0945-3245

Schlagwort(e): AMS(MOS): 65F10 ; 65N20 ; 65N30 ; CR: G 1.8

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary We consider the numerical solution of indefinite systems of linear equations arising in the calculation of saddle points. We are mainly concerned with sparse systems of this type resulting from certain discretizations of partial differential equations. We present an iterative method involving two levels of iteration, similar in some respects to the Uzawa algorithm. We relate the rates of convergence of the outer and inner iterations, proving that, under natural hypotheses, the outer iteration achieves the rate of convergence of the inner iteration. The technique is applied to finite element approximations of the Stokes equations.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01405194

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