Recently Masud and Hughes proposed a stabilized mixed finite element formulation for Darcy flow. An interesting feature of this formulation is that there are no mesh-dependent parameters. In the present work we provide a derivation of this formulation based on a multiscale decomposition of the solution. We also extend the work of Masud and Hughes to three-dimensional problems and show the conve...

A spatial geometrically exact finite element based on the fixed-pole approach of an arbitrary order is presented. In contrast to the original formulation by Bottasso and Borri, this formulation uses standard kinematic unknowns and is therefore combinable with standard finite elements. Preliminary results show that when updating displacements and rotations at integration points, this formulation...

Space-time finite element methods are presented to accurately solve elastodynamics problems that include sharp gradients due to propagating waves. The new methodology involves finite element discretization of the time domain as well as the usual finite element discretization of the spatial domain. Linear stabilizing mechanisms are included which do not degrade the accuracy of the space-time fin...