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On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations

  • János Karátson
  • Tamás Kurics
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)

Abstract

The numerical solution of linear convection-diffusion equations is considered. Finite difference discretization leads to an algebraic system solved by a suitable preconditioned CG method, where the preconditioning approach is based on equivalent operators. Our goal is to study the superlinear convergence of the preconditioned CG iteration and to find mesh independent behaviour on a model problem. This is an analogue of previous results where FEM discretization was used.

Keywords

Conjugate Gradient Method Superlinear Convergence Equivalent Operator Linear Convergence Coercivity Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • János Karátson
    • 1
  • Tamás Kurics
    • 1
  1. 1.Department of Applied Analysis and Computational MathematicsELTE UniversityBudapestHungary

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