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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Researchers in applied mathematics, engineering, and computer science, as well as graduate students.
Produkt-Hinweis
Illustrationen
50
50 s/w Abbildungen
50 b/w images
Maße
Höhe: 234 mm
Breite: 156 mm
ISBN-13
978-1-58488-980-9 (9781584889809)
Schweitzer Klassifikation
Autor*in
Universite Montpellier II, France
Universite de Technologie de Compiegne, France
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.
