Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems

2013
ISBN: 978-3-642-23587-0
Verlag: Springer

Buch, Englisch, Band 90, 322 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 6269 g

Reihe: Lecture Notes in Computational Science and Engineering

Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the most successful domain decomposition solvers for partial differential equations. The purpose of this book is to give a detailed and self-contained presentation of these methods, including the corresponding algorithms as well as a rigorous convergence theory. In particular, two issues are addressed that have not been covered in any monograph yet: the coupling of finite and boundary elements within the tearing and interconnecting framework including exterior problems, and the case of highly varying (multiscale) coefficients not resolved by the subdomain partitioning. In this context, the book offers a detailed view to an active and up-to-date area of research.

Zielgruppe

Research

Autoren/Hrsg.

Pechstein, Clemens

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preliminaries.- One-level FETI/BETI Methods.- Multiscale Problems.- Unbounded Domains.- Dual-Primal Methods.- References.- Index.- List of Symbols