Examples of the Use of Computer Program Polyz Based on the Edge Function Method for Laplace, Poisson, Isotropic Plate and Elastostatic Problems for Polygonal Boundaries with or Without Smooth Cavities

摘要

A description, with ten illustrative examples, is given for computer program POLYZ evolved for isotropic plate, Laplace, Poisson and Elastostatic problems. The program consists of a main program with eighteen specialist subroutines, each of which discharges a specific task. Using this approach, the programming differences between problems in related topics, not covered in the present program, can generally be reduced to a difference in a few subroutines, and these can then be modified, or substituted, without too much difficulty, the greater part of the program remaining intact. Thus, a systems approach has been evolved. An effort has been made to make all examples self-explanatory. In all examples, the root mean square of the residuals on the boundary is given as the acceptance criterion for comparing the mathematical model with the physical model. (Author)