The resolve of many important problems in practice that arise modern technology cannot always be obtained by traditional methods analytic function theory or means integral transformations. This applies, for example, to contact problems, which take into account the finite size region at least one direction, investigate environments with curvilinear anisotropy and like. mathematical elasticity ar...

This article introduces a weak Galerkin (WG) finite element method for linear elasticity interface problems on general polygonal/polyhedral partitions. The discrete divergence and gradient operators are discretized as polynomials computed by solving inexpensive local each element. developed WG has been proved to be stable accurate with optimal order error estimates in the H1 norm. Some numerica...

The implementation of a new 8-node finite element for solving 3D elasticity static problems is considered. idea this based on the projection rare mesh FEM scheme into space lower dimension. resulting hexahedral has number features compared to classical polyline element. This one integration point in eight element, as well presence four parameters that allow you adjust convergence computational ...

Another general numerical method has recently emerged that provides good computational abilities and has some particular advantages when compared to FEM. The technique known as the boundary element method (BEM) has been widely used by computational mechanics investigators leading to the development of many private and commercial codes. Similar to the finite element method, BEM can analyze many ...