In this article, we review a dual-primal FETI (FETI-DP) method with mortar methods. The mortar matching condition is used as the continuity constraints for the FETI-DP formulation. A Neumann-Dirichlet preconditioner is investigated and it is shown that the condition number of the preconditioned FETI-DP operator for the two-dimensional elliptic problem is bounded by C maxi=1,...,N{(1 + log (Hi/h...

In elasticity, microstructure-related deviations may be modeled by strain gradient elasticity. For so-called metamaterials, different implementations are possible for solving elasticity problems numerically. Analytical solutions of simple used to verify the numerical approach. We demonstrate such a case in two-dimensional continuum as benchmark computations. As enforces higher regularity condit...

dynamic analysis of two-dimensional elasticity problems using the isogeometric analysis method and its comparison with the finite element method is the subject of this research. for this purpose, formulation of the governing differential equation is obtained by using the b-spline basis functions. some numerical examples employing consistent and lumped mass matrices are presented in order to com...