Basic HTML version of Foils prepared 15 March 1996

Foil 8 Comparison of Structure of Elliptic(steady state) and Hyperbolic Equations

From Spatial Differencing and ADI Solution of the NAS Benchmarks CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
1 Both Types of equations can be written in matrix form
2 Elliptic or Steady State Hyperbolic-Parabolic as in steady state CFD
  • Note is typically not diagonally dominant
  • as off diagonal terms are of same size as diagonal e,g. in two dimensions Lapace Iteration matrix is:
  • with sum of elements in
  • general row zero
3 Time dependent Hyperbolic or Parabolic
  • Note is typically nearly diagonal as in NAS case:
in Table To:

Northeast Parallel Architectures Center, Syracuse University, npac@npac.syr.edu

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