We propose, analyze mathematically, and study numerically a novel approach for the finite element approximation of spectrum second-order elliptic operators. The main idea is to reduce stiffness problem by subtracting least-squares penalty on gradient jumps across mesh interfaces from standard bilinear form. This form similar known technique used stabilize approximations in various contexts. ter...

in recent year, the evolutionary structural optimization (eso) method, has been applied as an effective tool for structures design. the concept of eso method is to use the finite element  results in each iteration of process and removal of inefficient material based on these results. in this method there are several experimental parameters such as rejection rate and evolutionary rate that are e...

Solving the wave equation by a C o finite element method requires to mass-lump the term in time of the variational f6rmulation in order to avoid the inversion of a n-diagonal symmetric matrix at each time-step of the algorithm. One can easily get this mass-lumping on quadrilateral meshes by using a h-version of the spectral elements, based on Gauss-Lobatto quadrature formulae but the equivalent...