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.Clemens Pechstein. 0 1 1 1 0 1 1 Fig. 1.3 Reference elements. Left: reference triangle. Right: reference tetrahedron (ii) A family fT h. I/gh2 of regular triangulations is called quasi-uniform if it is shape regular and if there exists a uniformanbsp;...
|Title||:||Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems|
|Publisher||:||Springer Science & Business Media - 2012-12-14|