On the solution of mixed boundary value problems in elasticity.

摘要

A method and algorithm for the solution of linear two-dimensional first-order systems of elliptic partial-differential equations (PDEs) and associated boundary conditions over a finite union of rectangles using sinc-collocation methods, collectively called sinc-ellpde, are presented.; An overview and short description of the stages of the method and steps of the algorithm are given along with a trivial sample problem. These are followed by detailed descriptions of two problems from fracture mechanics, the method, and the numerical results obtained. The algorithm is then described in detail, followed by a convergence proof, followed by full descriptions of the symbolic computations required for the fracture mechanics problems.