The following possibilities of reduction of dimension in the computational analysis of strain and stresses transferred to the subsoil massive are available: i) coming from the effective subsoil model by Kolář & Němec (1989), based on the assumptions of the Pasternak's model (1954), where the pair of material parameters of a surface model is evaluated from the energy equivalence, ii) reducing a large sparse matrix of soil massive stiffness to a smaller one, using Schur's complement technique....

The Signorini problem with friction in quasi-coupled linear thermo-elasticity (the 2D-case) is discussed. The problem is the model problem in the geodynamics. Using piecewise linear finite elements on the triangulation of the given domain, numerical procedures are proposed. The finite element analysis for the Signorini problem with friction on the contact boundary ${\Gamma }_{\alpha }$ of a polygonal domain $G\subset R^2$ is given. The rate of convergence is proved if the exact solution is sufficiently regular.