Krause, R. and Wohlmuth, B. (2000) Multigrid methods for Mortar finite elements. In: Multigrid Methods VI. Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27–30. Springer Berlin Heidelberg, pp. 136142. ISBN 9783540671572

PDF
336kB 
Official URL: https://dx.doi.org/10.1007/9783642583124_18
Abstract
The framework of mortar methods [3,4] provides a powerful tool to analyze the coupling of different discretizations across subregion boundaries. We present an alternative Lagrange multiplier space without loosing the optimality of the a priori bounds [10]. By means of the biorthogonality between the nodal basis functions of our new Lagrange multiplier space and the finite element trace space, we derive a symmetric positive definite mortar formulation on the unconstrained product space. This new variational problem is the starting point for the application of our multigrid method. Level independent convergence rates for the W—cycle can be established, provided that the number of smoothing steps is large enough.
Item Type:  Book Section 

Subjects:  Mathematical and Computer Sciences > Mathematics > Numerical Analysis 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  1852 
Deposited By:  Ekaterina Engel 
Deposited On:  15 Apr 2016 19:05 
Last Modified:  03 Mar 2017 14:42 
Repository Staff Only: item control page