Additive Schwarz Methods for Elliptic Mortar Finite Element Problems Petter E. Bjørstad1?, Maksymilian Dryja2??, Talal Rahman3 1 Institute for Informatics, University of Bergen, N-5020 Bergen, Norway. e-mail: [email protected] 2 Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland. e-mail: [email protected] 3 Institute for Mathematics, University of Augsburg, Universit...

A new hybrid approach for deformable models is presented here and carried out in a virtual reality environment, achieving real time performance with haptic interactions. Our implementation consists in using two approaches for the deformable model. The deformation is modelled using simultaneously a Finite Element Method and a Mesh Free Method. With this Mesh Free method, particles are used to si...

This paper proposes a mortar finite element method for solving the two-dimensional second-order elliptic problem with jumps in coefficients across the interface between two subregions. Non-matching finite element grids are allowed on the interface, so independent triangulations can be used in different subregions. Explicitly realizable mortar conditions are introduced to couple the individual d...