Abstract
The cell discretization algorithm has been developed for the solution of partial differential equations. Its application to boundary value problems involving self-adjoins elliptic equations is described, including the treatment of eigenvalue problems. Some discussion of its relationship to the finite element method is also included. Finally, various representative problems are solved numerically, by means of a Fortran program which implements the algorithm. The solutions give some indication of the behavior of the method for Dirichlet, Neumann and mixed boundary conditions. Some problems from the literature are also solved, so that comparisons can be made with other methods.
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