Development of the GEM (General Elliptic Marching) Package: User-Oriented Codes for General Discretized Elliptic and Mixed Partial Differential Equations

摘要

The development and testing of the GEM (general elliptic marching) codes is described. The GEM codes solve elliptic and mixed discretized 2D pde's by direct (non-iterative) spatial marching methods, in as few as 2 SOR iterations. Both 5-point and 9-point stencils may be solved, with no requirement that the coefficients be separable, and quite general boundary conditions are allowed. Also described is the use of Symbolic Manipulation to produce Fortran coding of the 2D and 3D stencils for boundary fitted coordinate problems, and validation methods. (Author)