Abstract
In this paper, we report on a new and in some senses nontraditional way to apply Green's matrices to a numerical solution of boundary value problems for partial differential equations. We attempt to demonstrate the computational effectiveness of a semianalytical formulation for solution of external boundary value problems, modelling the contact phenomenon by a two-dimensional theory of elasticity. Linear and nonlinear statements that relate to problems with given and unknown zones of contact, respectively, have been succesfully treated by means of the proposed approach. Effective compact representations of the Green's matrices needed for this type of mathematical modelling have been obtained herein by using the technique previously developed by the authors. The paper will review a limited number of validation examples.
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