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Detailed derivation of the methods and their analysis
Includes algorithms and implementation issues
Special chapter on multiscale problems at the cutting edge of research
Both finite and boundary elements are covered, as well as exterior problems
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.
Content Level »Research
Keywords »boundary elements - domain decomposition - finite elements - multiscale problems - numerical analysis