The mortar element method for three dimensional finite elements

The mortar element method for three dimensional finite elements

We present m thts paper the application of the mortar element method m the case where fini te element methods are used in each subdornains The novelty is m the posstbility of dealing with tenahedra for thefimte element mesh Thts paper thus complètes the analysis of the mot tai element methods that allows for couphng different spectral and/or finite element methods in adjascent mbdomains in a fl...

The Feti Method for Mortar Finite Elements

Multigrid for the Mortar Finite Element Method

A multigrid technique for uniformly preconditioning linear systems arising from a mortar finite element discretization of second order elliptic boundary value problems is described and analyzed. These problems are posed on domains partitioned into subdomains, each of which is independently triangulated in a multilevel fashion. The multilevel mortar finite element spaces based on such triangulat...

An Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements

In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...

A Multiscale Mortar Mixed Finite Element Method

We develop multiscale mortar mixed finite element discretizations for second order elliptic equations. The continuity of flux is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale. The polynomial degree of the mortar and subdomain approximation spaces may differ; in fact, the mortar sp...