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Perturbation analysis of generalized saddle point systems. (English) Zbl 1109.65043

The authors consider generalized saddle point systems of the form \(A u + B^T p = f, ~~B p = g\) and theoretically analyse the nonlinear perturbation upper bounds for it, derive the condition numbers and examine the sensivity of the computation of \(u\) and \(p\). Numerical experiments are presented for the 2D Oseen flow problem with Dirichlet boundary conditions.

MSC:

65F35 Numerical computation of matrix norms, conditioning, scaling

Software:

mctoolbox
Full Text: DOI

References:

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