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. byGeoffrey C. Fox
Both Types of equations can be written in matrix form
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
Time dependent Hyperbolic or Parabolic
Note is typically nearly diagonal as in NAS case:
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