A new direct method for the discretized Poisson equation

  • Patrick J. Roache
Session I Fundamental Numerical Techniques
Part of the Lecture Notes in Physics book series (LNP, volume 8)


An influence coefficient matrix method, called the error vector propagation or EVP method, for solving the discretized Poisson equation is described and its characteristics are investigated. This direct method is especially well suited to solving a family of problems, each of which has different non-homogenous terms and different boundary values, but which are all solved in the same mesh with the same class of linear boundary conditions. This is the case in incompressible fluid dynamics problems using the stream function-vorticity approach.


Error Propagation Field Size Error Vector Irregular Geometry Irregular Mesh 
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Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • Patrick J. Roache
    • 1
  1. 1.Numerical Fluid Dynamics Division Sandia LaboratoriesAlbuquerqueUSA

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