A method for the solution of 3-D parabolic problems on multi-connected regions is presented. The domain discretization is automatic: at first the boundary is approximated by means of polyhedra; subsequently a Cartesian orthogonal non-uniform grid is generated. The differential operator is discretized by a Crank-Nicolson scheme, coupled with general finite-difference formulae (GFDF).

Some test problems are presented to show the efficiency of the method.

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Volume8, Issue6

June 1992

Pages 361-371

A generalized finite-difference solution of parabolic 3-D problems on multi-connected regions

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A generalized finite-difference solution of parabolic 3-D problems on multi-connected regions

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