The Mortar Finite Element Method : Basics, Theory and Implementation
With an increase in computational demands in engineering processes and industrial applications, domain decomposition methods (DDM) like the mortar finite element have become an appealing tool for solving large scale problems. Exceptionally comprehensive, this work covers the mortar approach and the place that it holds in developing non-conforming numerical methods and allowing scientific computation on non-matching grids. The method is illustrated by means of computer code in both Fortran and MATLAB (R). The text also presents the numerical Finite Element Tearing and Interconnecting (FEDI) method algorithm. The authors include a wide range of exercises and solutions to selected problems.
- Electronic book text | 256 pages
- 15 Feb 2010
- Taylor & Francis Ltd
- Chapman & Hall/CRC
- London, United Kingdom
- 50 Illustrations, black and white
Table of contents
The Foundation of the Mortar Element Method. The Three-Dimensional Context. How To Perform Projections between Non-Matching Grids. On the Mortar Triangular Discrete Kirchoff Finite Elements for Elastic Plates. Applications in Fluids and Acoustics. Extension to a Variational Unilateral Inequality. The FETI Method for the Mortar Finite Elements. Notations and Functional Analysis Tools.