Equivalent operator preconditioning for elliptic problems with nonhomogeneous mixed boundary conditions

DOI10.1016/j.cam.2010.05.047zbMath1198.65225OpenAlexW2070879159MaRDI QIDQ1959468

Tamás Kurics

Publication date: 7 October 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.05.047

zbMATH Keywords

numerical examplespreconditioningfinite elementconjugate gradient methodsuperlinear convergenceconvection-diffusion equationsoperator pairsequivalent operatorslinear elliptic equationsmesh independencenonhomogeneous mixed boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (2)

Gradient WEB-spline finite element method for solving two-dimensional quasilinear elliptic problems ⋮ A Numerical Method for SolvingTwo-Dimensional Nonlinear Parabolic ProblemsBased on a Preconditioning Operator

Cites Work

• Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators
• A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems
• On the superlinear convergence of PCG algorithms: Numerical experiments for convection-diffusion equations
• Equivalent operator preconditioning for elliptic problems
• A generalized conjugate gradient, least square method
• 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
• Superlinear PCG Algorithms: Symmetric Part Preconditioning and Boundary Conditions
• Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
• Iterative Solution Methods
• Symmetric Part Preconditioning for the Conjugate Gradient Method in Hilbert Space
• Unnamed Item

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