Mesh Independent Convergence Rates Via Differential Operator Pairs

DOI10.1007/978-3-540-78827-0_1zbMath1229.65197OpenAlexW1565623750MaRDI QIDQ3616800

Owe Axelsson, János Karátson

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_1

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Cites Work

• Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators
• A generalized conjugate gradient, least square method
• On iterative solvers in structural mechanics; separate displacement orderings and mixed variable methods
• Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems.
• Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems
• On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Preconditioning and Boundary Conditions
• A Taxonomy for Conjugate Gradient Methods
• Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
• The construction of iterative methods based on the use of spectrally equivalent operators
• Iterative Solution Methods
• Symmetric Part Preconditioning of the CG Method for Stokes Type Saddle-Point Systems
• Methods of conjugate gradients for solving linear systems

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