A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems

DOI10.1016/j.camwa.2007.11.014zbMath1142.65439OpenAlexW2070077392MaRDI QIDQ945105

János Karátson, István Antal

Publication date: 11 September 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.11.014

zbMATH Keywords

conjugate gradient methodnonlinearsuperlinear convergencemesh independencenonsymmetric elliptic systems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

Operator preconditioning with efficient applications for nonlinear elliptic problems ⋮ Equivalent operator preconditioning for elliptic problems with nonhomogeneous mixed boundary conditions ⋮ Two-grid algorithms for some linear and nonlinear elliptic systems ⋮ Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems ⋮ Equivalent operator preconditioning for elliptic problems

Cites Work

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• Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators
• A survey of algebraic multilevel iteration (AMLI) methods
• On algebraic multilevel preconditioning methods
• On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations
• Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method
• Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
• Homeomorphisms Between Banach Spaces
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• A Parallel Fast Direct Solver for Block Tridiagonal Systems with Separable Matrices of Arbitrary Dimension
• Iterative Solution Methods
• Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space
• Equivalent Norms for Sobolev Spaces

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