Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases |
| |
Authors: | B P Lamichhane R P Stevenson B I Wohlmuth |
| |
Institution: | (1) Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Germany;(2) Department of Mathematics, Utrecht University, The Netherlands |
| |
Abstract: | Mortar methods with dual Lagrange multiplier bases provide a flexible, efficient and optimal way to couple different discretization
schemes or nonmatching triangulations. Here, we generalize the concept of dual Lagrange multiplier bases by relaxing the condition
that the trace space of the approximation space at the slave side with zero boundary condition on the interface and the Lagrange
multiplier space have the same dimension. We provide a new theoretical framework within this relaxed setting, which opens
a new and simpler way to construct dual Lagrange multiplier bases for higher order finite element spaces. As examples, we
consider quadratic and cubic tetrahedral elements and quadratic serendipity hexahedral elements. Numerical results illustrate
the performance of our approach.
This work was supported in part by the Deutsche Forschungsgemeinschaft, SFB 404, C12, the Netherlands Organization for Scientific
Research and by the European Community's Human Potential Programme under contract HPRN-CT-2002-00286. |
| |
Keywords: | 35N55 65N30 |
本文献已被 SpringerLink 等数据库收录! |
|