In the context of global mean square error concerning number random variables in representation, Karhunen–Loève (KL) expansion is optimal series method for field discretization. The computational efficiency and accuracy KL are contingent upon accurate resolution Fredholm integral eigenvalue problem (IEVP). paper proposes an interpolation based on different basis functions such as moving least s...

The work investigates the importance of K-T approach in modelling pressure cracked structures. T-stress is constant second term Williams expression; it often negligible, but recent literature has shown that there are cases where plays role opening crack, also improves elastic modeling at point crack. In this research study, most important effects collected and analyzed. A numerical analysis was...

In this paper, we propose an extended mixed finite element method for elasticity interface problems based on Mini space. The stabilization term defined edges of elements and the ghost penalty are added, which ensures that discrete inf-sup condition holds independent how intersects triangulation. Finally, numerical experiments carried out to verify theoretical analysis.

We present a parametric finite element approximation of two-phase flow. This free boundary problem is given by the Navier–Stokes equations in the two phases, which are coupled via jump conditions across the interface. Using a novel variational formulation for the interface evolution gives rise to a natural discretization of the mean curvature of the interface. The parametric finite element appr...