The Lattice Boltzmann Method (LBM), e.g. in [1] and [2], can be interpreted as an alternative method for the numerical solution of certain partial differential equations that is not restricted to its origin computational fluid mechanics. interpretation LBM a general tool allows extend solid mechanics well, see [3], which concerned with simulation elastic solids under simplified deformation assu...

The study of the Dirichlet problem with arbitrary measurable data for harmonic functions in unit disk ???? is due to dissertation Luzin. Later on, known monograph Vekua was devoted boundary-value problems only Hölder continuous generalized analytic functions, i.e., complex-valued f(z) complex variable z = x + iy first partial derivatives by Sobolev satisfying equations form $$ {\partial}_{\over...

We consider the problem of contact interaction punches various shapes with an elastic foundation modeled by layer two bedding coefficients. The application this model makes it possible to determine not only stress states punch and but also their displacements. perform numerical analyses compare results obtained for different models foundations punches.