Domain Decomposition Methods in Science and Engineering XVI [Paperback]

Domain decomposition is an active research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Domain decomposition is an active, interdisciplinary research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. Since the advent of hierarchical distributed memory computers, it has been motivated by considerations of concurrency and locality in a wide variety of large-scale problems, continuous and discrete. Historically, it emerged from the analysis of partial differential equations, beginning with the work of Schwarz in 1870. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Plenary Presentations.- A Domain Decomposition Solver for a Parallel Adaptive Meshing Paradigm.- Algebraic Multigrid Methods Based on Compatible Relaxation and Energy Minimization.- Lower Bounds in Domain Decomposition.- Heterogeneous Domain Decomposition Methods for Fluid-Structure Interaction Problems.- Preconditioning of Saddle Point Systems by Substructuring and a Penalty Approach.- Nonconforming Methods for Nonlinear Elasticity Problems.- Finite Element Methods with Patches and Applications.- On Preconditioned Uzawa-type Iterations for a Saddle Point Problem with Inequality Constraints.- Multilevel Methods for Eigenspace Computations in Structural Dynamics.- Recent Developments on Optimized Schwarz Methods.- Schur Complement Preconditioners for Distributed General Sparse Linear Systems.- Schwarz Preconditioning for High Order SimpliclÎ