Domain Decomposition Methods in Science and Engineering XVII

✍ Scribed by Zoran Andjelić (auth.), Ulrich Langer, Marco Discacciati, David E. Keyes, Olof B. Widlund, Walter Zulehner (eds.)

• Publisher: Springer
• Year: 2008
• Tongue: English
• Leaves: 661
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-XIX
BEM: Opening the New Frontiers in the Industrial Products Design....Pages 3-20
A Domain Decomposition/Nash Equilibrium Methodology for the Solution of Direct and Inverse Problems in Fluid Dynamics with Evolutionary Algorithms....Pages 21-32
Preconditioning of Symmetric Interior Penalty Discontinuous Galerkin FEM for Elliptic Problems....Pages 33-44
Nonlinear Convergence Analysis for the Parareal Algorithm....Pages 45-56
Schwarz Waveform Relaxation Algorithms....Pages 57-68
Integration of Sequential Quadratic Programming and Domain Decomposition Methods for Nonlinear Optimal Control Problems....Pages 69-80
Domain Decomposition Algorithms for Mortar Discretizations....Pages 81-92
On the Multiscale Solution of Constrained Minimization Problems....Pages 93-104
Domain Decomposition Preconditioner for Anisotropic Diffusion....Pages 105-118
Domain Decomposition of Constrained Optimal Control Problems for 2D Elliptic System on Networked Domains: Convergence and A Posteriori Error Estimates....Pages 119-130
Challenges and Applications of Boundary Element Domain Decomposition Methods....Pages 131-142
MINISYMPOSIUM 1: Advanced Multigrid Methods for Systems of PDEs....Pages 145-145
Auxiliary Space AMG for H(curl) Problems....Pages 147-154
A Multilevel Method for Discontinuous Galerkin Approximation of Three-dimensional Elliptic Problems....Pages 155-164
MINISYMPOSIUM 2: Domain Decomposition Based on Boundary Elements....Pages 165-165
Scalable BETI for Variational Inequalities....Pages 167-174
Domain Decomposition Based H-Matrix Preconditioners for the Skin Problem....Pages 175-182
MINISYMPOSIUM 3: Domain Decomposition in Coupled Engineering Phenomena with Multiple Scales....Pages 183-183
Class of Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems....Pages 185-192
Upscaling of Transport Equations for Multiphase and Multicomponent Flows....Pages 193-200
MINISYMPOSIUM 4: Domain Decomposition Methods Motivated by the Physics of the Underlying Problem....Pages 201-202
An Optimized Schwarz Waveform Relaxation Algorithm for Micro-Magnetics....Pages 203-210
Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation for Heterogeneous Problems....Pages 211-219
Optimized and Quasi-optimal Schwarz Waveform Relaxation for the One Dimensional Schrödinger Equation....Pages 221-228
A Moving Mesh Method for Time—dependent Problems Based on Schwarz Waveform Relaxation....Pages 229-236
MINISYMPOSIUM 5: FETI, Balancing, and Related Hybrid Domain Decomposition Methods....Pages 237-238
A Functional Analytic Framework for BDDC and FETI-DP....Pages 239-246
A Family of Energy Minimizing Coarse Spaces for Overlapping Schwarz Preconditioners....Pages 247-254
Extending Theory for Domain Decomposition Algorithms to Irregular Subdomains....Pages 255-261
Scalable FETI Algorithms for Frictionless Contact Problems....Pages 263-270
Balancing Domain Decomposition Methods for Discontinuous Galerkin Discretization....Pages 271-278
Exact and Inexact FETI-DP Methods for Spectral Elements in Two Dimensions....Pages 279-286
On Multilevel BDDC....Pages 287-294
The All-floating BETI Method: Numerical Results....Pages 295-302
MINISYMPOSIUM 6: Multiphysics Problems....Pages 303-303
Modeling and Simulation of Piezoelectrically Agitated Acoustic Streaming on Microfluidic Biochips....Pages 305-312
Numerical Approximation of a Steady MHD Problem....Pages 313-320
Mortar and Discontinuous Galerkin Methods Based on Weighted Interior Penalties....Pages 321-327
MINISYMPOSIUM 7: Optimized Schwarz Methods: Promises and Challenges....Pages 329-329
A New Domain Decomposition Method for the Compressible Euler Equations Using Smith Factorization....Pages 331-338
Optimized Domain Decomposition Methods for Three-dimensional Partial Differential Equations....Pages 339-346
Optimized Schwarz Methods with the Yin-Yang Grid for Shallow Water Equations....Pages 347-353
MINISYMPOSIUM 8: Robust Methods for Multiscale PDE Problems....Pages 355-355
Mixed-Precision Preconditioners in Parallel Domain Decomposition Solvers....Pages 357-364
Coefficient-explicit Condition Number Bounds for Overlapping Additive Schwarz....Pages 365-372
Robust Norm Equivalencies and Preconditioning....Pages 373-380
MINISYMPOSIUM 9: Subspace Correction Methods....Pages 381-381
Fast and Reliable Pricing of American Options with Local Volatility....Pages 383-390
A New Kind of Multilevel Solver for Second Order Steklov-Poincaré Operators....Pages 391-398
MINISYMPOSIUM 10: Time Domain Decomposition Methods for Evolution Problems....Pages 399-399
Symplectic Parareal....Pages 401-408
Block Diagonal Parareal Preconditioner for Parabolic Optimal Control Problems....Pages 409-416
Boundary Value Problems in Ramified Domains with Fractal Boundaries....Pages 419-426
An Additive Schwarz Method for the Constrained Minimization of Functionals in Reflexive Banach Spaces....Pages 427-434
Completions to Sparse Shape Functions for Triangular and Tetrahedral p -FEM....Pages 435-442
Finite Volume Method for Nonlinear Transmission Problems....Pages 443-450
An Overlapping Domain Decomposition Method for Parameter Identification Problems....Pages 451-458
A Domain Decomposition Method for the Diffusion of an Age-structured Population in a Multilayer Environment....Pages 459-466
Why Classical Schwarz Methods Applied to Certain Hyperbolic Systems Converge Even Without Overlap....Pages 467-475
How to Use the Smith Factorization for Domain Decomposition Methods Applied to the Stokes Equations....Pages 477-484
p-Multigrid for Fekete Spectral Element Method....Pages 485-492
p-FEM Quadrature Error Analysis on Tetrahedra....Pages 493-500
A Direct Solver for the Heat Equation with Domain Decomposition in Space and Time....Pages 501-508
Toward a Real Time, Image Based CFD....Pages 509-515
A Multilevel Method for Solution Verification....Pages 517-525
A Robust Preconditioner for the Hessian System in Elliptic Optimal Control Problems....Pages 527-534
A Schur Complement Method for DAE/ODE Systems in Multi-Domain Mechanical Design....Pages 535-541
PDE-based Parameter Reconstruction through Schur and Schwarz Decompositions....Pages 543-550
Numerical Method for Wave Propagation Problem by FDTD Method with PML....Pages 551-558
Fast Domain Decomposition Algorithms for Discretizations of 3-d Elliptic Equations by Spectral Elements....Pages 559-565
Reinforcement-Matrix Interaction Modeled by FETI Method....Pages 567-573
The Dilemma of Domain Decomposition Approaches in Fluid-Structure Interactions with Fully Enclosed Incompressible Fluids....Pages 575-582
A FETI-DP Method for Mortar Finite Element Discretization of a Fourth Order Problem....Pages 583-590
Concepts for an Efficient Implementation of Domain Decomposition Approaches for Fluid-Structure Interactions....Pages 591-598
An Overlapping Additive Schwarz-Richardson Method for Monotone Nonlinear Parabolic Problems....Pages 599-606
Parallel Numerical Solution of Intracellular Calcium Dynamics....Pages 607-614
AMDiS - Adaptive Multidimensional Simulations: Parallel Concepts....Pages 615-621
Generalization of Lions' Nonoverlapping Domain Decomposition Method for Contact Problems....Pages 623-630
Multilevel Schwarz and Multigrid Preconditioners for the Bidomain System....Pages 631-638
Preconditioners for Low Order Thin Plate Spline Approximations....Pages 639-646
Domain Decomposition Algorithms for an Indefinite Hypersingular Integral Equation in Three Dimensions....Pages 647-655
Back Matter....Pages 657-661

✦ Subjects

Computational Intelligence