The Mortar Finite Element Method

Basics, Theory and Implementation

Catherine Lacour, Faker Ben Belgacem (Autoren)

Buch | Hardcover

256 Seiten

2015
Chapman & Hall/CRC (Verlag)
978-1-58488-980-9 (ISBN)

Infos

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®. 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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 15.6.2015
• Reihe/Serie: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
• Mitarbeit: Herausgeber (Serie): Frederic Magoules, Choi-Hong Lai
• Sprache: englisch
• Maße: 156 x 234 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
• Themenwelt: Technik ► Maschinenbau
• ISBN-10: 1-58488-980-2 / 1584889802
• ISBN-13: 978-1-58488-980-9 / 9781584889809
• Zustand: Neuware