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Symmetric Part Preconditioning of the CG Method for Stokes Type Saddle-Point Systems
Authors:O. Axelsson
Affiliation:Department of Information Technology , Uppsala University, Sweden and Institute of Geonics AS CR , Ostrava, Czech Republic
Abstract:A nonsymmetric formulation of saddle-point systems is considered, and symmetric part preconditioning of the CG method is applied. Linear and superlinear convergence estimates are derived for the finite element solution of the Stokes problem and of Navier's equations of elasticity. Mesh independence of the estimates is obtained from proper Hilbert space operator background.
Keywords:Conjugate gradient method  Navier's equations of elasticity  Preconditioning  Regularization  Stokes problem  Symmetric part
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