Volume 38, Number 1, January-February 2004
|Page(s)||73 - 92|
|Published online||15 February 2004|
A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D
Institute of Applied Analysis and
Numerical Simulation, University of Stuttgart, Germany. firstname.lastname@example.org.;email@example.com.
Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained mortar spaces in case of hexahedral triangulations. As a result, standard efficient iterative solvers as multigrid methods can be easily adapted to the nonconforming situation. We present the discretization errors in different norms for linear and quadratic mortar finite elements with different Lagrange multiplier spaces. Numerical results illustrate the performance of our approach.
Mathematics Subject Classification: 35N55 / 65N30
Key words: Mortar finite elements / Lagrange multiplier / dual space / domain decomposition / nonmatching triangulation.
© EDP Sciences, SMAI, 2004
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.