A unified approach to systematization of multidiscipline multidimensional nonlinear initial boundary value problems

Abstract

An approach to the systematization of coupled problems of different science areas is suggested. A unified methodology for solving such problems is described. The usage of this methodology is illustrated by examples of solving the contact problem and the problem of chemical machine-building.

Keywords

• multidiscipline problems, initial boundary value problems, finite element method, differentiation by parameter method, newton-raphson method.