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Solution of Linear Equation System

  • Joel H. Ferziger
  • Milovan Perić

Abstract

In the previous two chapters we showed how the convection-diffusion equation may be discretized using FD and FV methods. In either case, the result of the discretization process is a system of algebraic equations, which are linear or non-linear according to the nature of the partial differential equation(s) from which they are derived. In the non-linear case, the discretized equations must be solved by an iterative technique that involves guessing a solution, linearizing the equations about that solution, and improving the solution; the process is repeated until a converged result is obtained. So, whether the equations are linear or not, efficient methods for solving linear systems of algebraic equations are needed.

Keywords

Iterative Method Coarse Grid Conjugate Gradient Method Outer Iteration Fine Grid 
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 2002

Authors and Affiliations

  • Joel H. Ferziger
    • 1
  • Milovan Perić
    • 2
  1. 1.Dept. of Mechanical EngineeringStanford UniversityStanfordUSA
  2. 2.Computational DynamicsNürnbergGermany

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