Domain Decomposition Methods in Science and Engineering XVII

ISBN-13: 9783540751984 / Angielski / Miękka / 2007 / 661 str.

Opis

Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. This volume contains selected papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering. It presents the newest domain decomposition techniques and examines their use in the modeling and simulation of complex problems.

Spis treści

Plenary Presentations.- BEM: Opening the New Frontiers in the Industrial Products Design.- A Domain Decomposition/Nash Equilibrium Methodology for the Solution of Direct and Inverse Problems in Fluid Dynamics with Evolutionary Algorithms.- Preconditioning of Symmetric Interior Penalty Discontinuous Galerkin FEM for Elliptic Problems.- Nonlinear Convergence Analysis for the Parareal Algorithm.- Schwarz Waveform Relaxation Algorithms.- Integration of Sequential Quadratic Programming and Domain Decomposition Methods for Nonlinear Optimal Control Problems.- Domain Decomposition Algorithms for Mortar Discretizations.- On the Multiscale Solution of Constrained Minimization Problems.- Domain Decomposition Preconditioner for Anisotropic Diffusion.- Domain Decomposition of Constrained Optimal Control Problems for 2D Elliptic System on Networked Domains: Convergence and A Posteriori Error Estimates.- Challenges and Applications of Boundary Element Domain Decomposition Methods.- Minisymposia.- MINISYMPOSIUM 1: Advanced Multigrid Methods for Systems of PDEs.- Auxiliary Space AMG for H(curl) Problems.- A Multilevel Method for Discontinuous Galerkin Approximation of Three-dimensional Elliptic Problems.- MINISYMPOSIUM 2: Domain Decomposition Based on Boundary Elements.- Scalable BETI for Variational Inequalities.- Domain Decomposition Based H-Matrix Preconditioners for the Skin Problem.- MINISYMPOSIUM 3: Domain Decomposition in Coupled Engineering Phenomena with Multiple Scales.- Class of Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems.- Upscaling of Transport Equations for Multiphase and Multicomponent Flows.- MINISYMPOSIUM 4: Domain Decomposition Methods Motivated by the Physics of the Underlying Problem.- An Optimized Schwarz Waveform Relaxation Algorithm for Micro-Magnetics.- Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation for Heterogeneous Problems.- Optimized and Quasi-optimal Schwarz Waveform Relaxation for the One Dimensional Schrödinger Equation.- A Moving Mesh Method for Time—dependent Problems Based on Schwarz Waveform Relaxation.- MINISYMPOSIUM 5: FETI, Balancing, and Related Hybrid Domain Decomposition Methods.- A Functional Analytic Framework for BDDC and FETI-DP.- A Family of Energy Minimizing Coarse Spaces for Overlapping Schwarz Preconditioners.- Extending Theory for Domain Decomposition Algorithms to Irregular Subdomains.- Scalable FETI Algorithms for Frictionless Contact Problems.- Balancing Domain Decomposition Methods for Discontinuous Galerkin Discretization.- Exact and Inexact FETI-DP Methods for Spectral Elements in Two Dimensions.- On Multilevel BDDC.- The All-floating BETI Method: Numerical Results.- MINISYMPOSIUM 6: Multiphysics Problems.- Modeling and Simulation of Piezoelectrically Agitated Acoustic Streaming on Microfluidic Biochips.- Numerical Approximation of a Steady MHD Problem.- Mortar and Discontinuous Galerkin Methods Based on Weighted Interior Penalties.- MINISYMPOSIUM 7: Optimized Schwarz Methods: Promises and Challenges.- A New Domain Decomposition Method for the Compressible Euler Equations Using Smith Factorization.- Optimized Domain Decomposition Methods for Three-dimensional Partial Differential Equations.- Optimized Schwarz Methods with the Yin-Yang Grid for Shallow Water Equations.- MINISYMPOSIUM 8: Robust Methods for Multiscale PDE Problems.- Mixed-Precision Preconditioners in Parallel Domain Decomposition Solvers.- Coefficient-explicit Condition Number Bounds for Overlapping Additive Schwarz.- Robust Norm Equivalencies and Preconditioning.- MINISYMPOSIUM 9: Subspace Correction Methods.- Fast and Reliable Pricing of American Options with Local Volatility.- A New Kind of Multilevel Solver for Second Order Steklov-Poincaré Operators.- MINISYMPOSIUM 10: Time Domain Decomposition Methods for Evolution Problems.- Symplectic Parareal.- Block Diagonal Parareal Preconditioner for Parabolic Optimal Control Problems.- Contributed Presentations.- Boundary Value Problems in Ramified Domains with Fractal Boundaries.- An Additive Schwarz Method for the Constrained Minimization of Functionals in Reflexive Banach Spaces.- Completions to Sparse Shape Functions for Triangular and Tetrahedral p-FEM.- Finite Volume Method for Nonlinear Transmission Problems.- An Overlapping Domain Decomposition Method for Parameter Identification Problems.- A Domain Decomposition Method for the Diffusion of an Age-structured Population in a Multilayer Environment.- Why Classical Schwarz Methods Applied to Certain Hyperbolic Systems Converge Even Without Overlap.- How to Use the Smith Factorization for Domain Decomposition Methods Applied to the Stokes Equations.- p-Multigrid for Fekete Spectral Element Method.- p-FEM Quadrature Error Analysis on Tetrahedra.- A Direct Solver for the Heat Equation with Domain Decomposition in Space and Time.- Toward a Real Time, Image Based CFD.- A Multilevel Method for Solution Verification.- A Robust Preconditioner for the Hessian System in Elliptic Optimal Control Problems.- A Schur Complement Method for DAE/ODE Systems in Multi-Domain Mechanical Design.- PDE-based Parameter Reconstruction through Schur and Schwarz Decompositions.- Numerical Method for Wave Propagation Problem by FDTD Method with PML.- Fast Domain Decomposition Algorithms for Discretizations of 3-d Elliptic Equations by Spectral Elements.- Reinforcement-Matrix Interaction Modeled by FETI Method.- The Dilemma of Domain Decomposition Approaches in Fluid-Structure Interactions with Fully Enclosed Incompressible Fluids.- A FETI-DP Method for Mortar Finite Element Discretization of a Fourth Order Problem.- Concepts for an Efficient Implementation of Domain Decomposition Approaches for Fluid-Structure Interactions.- An Overlapping Additive Schwarz-Richardson Method for Monotone Nonlinear Parabolic Problems.- Parallel Numerical Solution of Intracellular Calcium Dynamics.- AMDiS - Adaptive Multidimensional Simulations: Parallel Concepts.- Generalization of Lions' Nonoverlapping Domain Decomposition Method for Contact Problems.- Multilevel Schwarz and Multigrid Preconditioners for the Bidomain System.- Preconditioners for Low Order Thin Plate Spline Approximations.- Domain Decomposition Algorithms for an Indefinite Hypersingular Integral Equation in Three Dimensions.

Blurb

This volume contains a selection of papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering held at St. Wolfgang / Strobl, Austria, July 3 - 7, 2006. 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. Domain decomposition techniques provide efficient tools for treating problems in all Computational Sciences. The reader will become familiar with the newest domain decomposition technologies and their use for modeling and simulating of complex problems from different fields of applications.