This paper presents the development of an algorithm based on the discontinuous Galerkin finite element method (DGFEM) for the Euler equations of gas dynamics. The DGFEM is a mixture of a finite volume and finite element method. In the DGFEM the unknowns in each element are locally expanded in a polynomial series and thus the information about the flow state at the element faces can be directly ...

The behaviour of dry-joint masonry arch structures is highly nonlinear and discontinuous since they are composed individual discrete blocks. These vulnerable to seismic excitations. It difficult for traditional methods like the standard finite element method (FEM) simulate failure due their intrinsic limitations. An advanced computational approach, i.e., combined finite-discrete (FDEM), was emp...

This paper is concerned with elastic local buckling of rectangular plates subjected to intermediate and end inplane loads. Since closed form solution for buckling analysis of plates with different end conditions and subjected to intermediate loads is complicated, numerical methods are more useful. Because of restrictions on the two finite strip methods, the longitudinal B3 spline expressions co...

We introduce a new class of unfitted finite element methods with high order accurate numerical integration over curved surfaces and volumes which are only implicitly defined by level set functions. An unfitted finite element method which is suitable for the case of piecewise planar interfaces is combined with a parametric mapping of the underlying mesh resulting in an isoparametric unfitted fin...