On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations
DOI10.1007/978-3-642-00464-3_38zbMath1233.65077OpenAlexW1571034516MaRDI QIDQ3615676
Publication date: 24 March 2009
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-00464-3_38
numerical solutionfinite difference discretizationlinear convection-diffusion equationspreconditioned CG methodmesh indepndent behaviourpreconditioned CG iteration
Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Cites Work
- Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators
- A generalized conjugate gradient, least square method
- The numerical solution of \(\nabla\cdot a\nabla u = f\) by a semi-explicit alternating-direction iterative technique
- 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
- Preconditioning and Boundary Conditions
- A Taxonomy for Conjugate Gradient Methods
- Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
- Optimal Equivalent Preconditioners
- Iterative Solution Methods
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