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Lecture Notes in Computational Science and Engineering

By: Ralf Kornhuber (Editor), Ronald W. Hoppe (Editor), Jacques Periaux (Editor)

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Paperback | 7 October 2004

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714 Pages

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Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry. A series of international conferences starting in 1987 set the stage for the presentation of many meanwhile classical results on substructuring, block iterative methods, parallel and distributed high performance computing etc. This volume contains a selection from the papers presented at the 15th International Domain Decomposition Conference held in Berlin, Germany, July 17-25, 2003 by the world's leading experts in the field. Its special focus has been on numerical analysis, computational issues,complex heterogeneous problems, industrial problems, and software development.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Computing & I.T.Computer Science Computer Architecture & Logic Design Numerical Analysis Mathematical Theory of Computation Maths for Computer Scientists Databases Data Capture & Analysis

Applied Mathematics Science Physics Mathematical Physics Science in General Maths for Scientists

Invited Talks
Non-matching Grids and Lagrange Multipliers	p. 3
A FETI Method for a Class of Indefinite or Complex Second-or Fourth-Order Problems	p. 19
Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes	p. 35
Numerical Approximation of Dirichlet-to-Neumann Mapping and its Application to Voice Generation Problem	p. 51
Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions	p. 67
Coupled Boundary and Finite Element Tearing and Interconnecting Methods	p. 83
Parallel Simulation of Multiphase/Multicomponent Flow Models	p. 99
Uncoupling-Coupling Techniques for Metastable Dynamical Systems	p. 115
Minisymposium: Domain Decomposition Methods for Wave Propagation in Unbounded Media
On the Construction of Approximate Boundary Conditions for Solving the Interior Problem of the Acoustic Scattering Transmission Problem	p. 133
Approximation and Fast Calculation of Non-local Boundary Conditions for the Time-dependent Schrödinger Equation	p. 141
Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering by an Electrically Deep Cavity	p. 149
Minisymposium: Parallel Finite Element Software
A Model for Parallel Adaptive Finite Element Software	p. 159
Towards a Unified Framework for Scientific Computing	p. 167
Distributed Point Objects. A New Concept for Parallel Finite Elements	p. 175
Minisymposium: Collaborating Subdomains for Multi-Scale Multi-Physics Modelling
Local Defect Correction Techniques Applied to a Combustion Problem	p. 185
Electronic Packaging and Reduction in Modelling Time Using Domain Decomposition	p. 193
Improving Robustness and Parallel Scalability of Newton Method Through Nonlinear Preconditioning	p. 201
Iterative Substructuring Methods for Indoor Air Flow Simulation	p. 209
Fluid-Structure Interaction Using Nonconforming Finite Element Methods	p. 217
Interaction Laws in Viscous-Inviscid Coupling	p. 225
Minisymposium: Recent Developments for Schwarz Methods
Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere	p. 235
Finite Volume Methods on Non-Matching Grids with Arbitrary Interface Conditions and Highly Heterogeneous Media	p. 243
Nonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation	p. 251
A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case	p. 259
Acceleration of a Domain Decomposition Method for Advection-Diffusion Problems	p. 267
A Stabilized Three-Field Formulation and its Decoupling for Advection-Diffusion Problems	p. 275
Approximation of Optimal Interface Boundary Conditions for Two-Lagrange Multiplier FETI Method	p. 283
Optimized Overlapping Schwarz Methods for Parabolic PDEs with Time-Delay	p. 291
Minisymposium: Trefftz-Methods
A More General Version of the Hybrid-Trefftz Finite Element Model by Application of TH-Domain Decomposition	p. 301
Minisymposium: Domain Decomposition on Nonmatching Grids
Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids	p. 311
Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications	p. 319
Non-Conforming Finite Element Methods for Nonmatching Grids in Three Dimensions	p. 327
On an Additive Schwarz Preconditioner for the Crouzeix-Raviart Mortar Finite Element	p. 335
Minisymposium: FETI and Neumann-Neumann Domain Decomposition Methods
A FETI-DP Method for the Mortar Discretization of Elliptic Problems with Discontinuous Coefficients	p. 345
A FETI-DP Formulation for Two-dimensional Stokes Problem on Nonmatching Grids	p. 353
Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D	p. 361
The FETI Based Domain Decomposition Method for Solving 3D-Multibody Contact Problems with Coulomb Friction	p. 369
Choosing Nonmortars: Does it Influence the Performance of FETI-DP Algorithms?	p. 377
Minisymposium: Heterogeneous Domain Decomposition with Applications in Multiphysics
Domain Decomposition Methods in Electrothermomechanical Coupling Problems	p. 387
A Multiphysics Strategy for Free Surface Flows	p. 395
Minisymposium: Robust Decomposition Methods for Parameter Dependent Problems
Weighted Norm-Equivalences for Preconditioning	p. 405
Preconditioning for Heterogeneous Problems	p. 415
Minisymposium: Recent Advances for the Parareal in Time Algorithm
On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations	p. 425
A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations	p. 433
The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation	p. 441
Stability of the Parareal Algorithm	p. 449
Minisymposium: Space Decomposition and Subspace Correction Methods for Linear and Nonlinear Problems
Multilevel Homotopic Adaptive Finite Element Methods for Convection Dominated Problems	p. 459
A Convergent Algorithm for Time Parallelization Applied to Reservoir Simulation	p. 469
Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids	p. 477
Minisymposium: Discretization Techniques and Algorithms for Multibody Contact Problems
On Scalable Algorithms for Numerical Solution of Variational Inequalities Based on FETI and Semi-monotonic Augmented Lagrangians	p. 487
Fast Solving of Contact Problems on Complicated Geometries	p. 495
Contributed Talks
Generalized Aitken-like Acceleration of the Schwarz Method	p. 505
The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments	p. 513
Modelling of an Underground Waste Disposal Site by Upscaling and Simulation with Domain Decomposition Method	p. 521
Non-Overlapping DDMs to Solve Flow in Heterogeneous Porous Media	p. 529
Domain Embedding/Controllability Methods for the Conjugate Gradient Solution of Wave Propagation Problems	p. 537
An Accelerated Block-Parallel Newton Method via Overlapped Partitioning	p. 547
Generation of Balanced Subdomain Clusters with Minimum Interface for Distributed Domain Decomposition Applications	p. 555
Iterative Methods for Stokes/Darcy Coupling	p. 563
Preconditioning Techniques for the Bidomain Equations	p. 571
Direct Schur Complement Method by Hierarchical Matrix Techniques	p. 581
Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems	p. 589
Domain Decomposition Preconditioners for Spectral Nédélec Elements in Two and Three Dimensions	p. 597
Parallel Distributed Object-Oriented Framework for Domain Decomposition	p. 605
A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems	p. 615
Domain Decomposition for Discontinuous Galerkin Method with Application to Stokes Flow	p. 623
Hierarchical Matrices for Convection-Dominated Problems	p. 631
Parallel Performance of Some Two-Level ASPIN Algorithms	p. 639
Algebraic Analysis of Schwarz Methods for Singular Systems	p. 647
Schwarz Waveform Relaxation Method for the Viscous Shallow Water Equations	p. 653
A Two-Grid Alternate Strip-Based Domain Decomposition Strategy in Two-Dimensions	p. 661
Parallel Solution of Cardiac Reaction-Diffusion Models	p. 669
Predictor-Corrector Methods for Solving Continuous Casting Problem	p. 677
Table of Contents provided by Publisher. All Rights Reserved.

Lecture Notes in Computational Science and Engineering

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