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Cover image for Domain decomposition methods in science and engineering XVI
Title:
Domain decomposition methods in science and engineering XVI
Series:
Lecture notes in computational science and engineering ; 55
Publication Information:
Berlin : Springer-Verlag, 2007
ISBN:
9783540344681
General Note:
Also available online version
Electronic Access:
Full Text
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Accessible within UTM campus

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30000010148705 QA402.2 I574 2005 Open Access Book Proceedings, Conference, Workshop etc.
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Summary

Summary

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.


Table of Contents

Randolph E. BankJames Brannick and Ludmil ZikatanovSusanne C. BrennerSimone Deparis and Marco Discacciati and Gilles Fourestey and Alfio QuarteroniClark R. DohrmannBernd Flemisch and Barbara I. WohlmuthRoland Glowinski and Jiwen He and Alexei Lozinski and Marco Picasso and Jacques Rappaz and Vittoria Rezzonico and Joel WagnerCarsten Graser and Ralf KornhuberUlrich L. Hetmaniuk and Richard B. LehoucqFrederic NatafYousef SaadJoachim Schoberl and Jens M. Melenk and Clemens G. A. Pechstein and Sabine C. ZaglmayrVolkan Akcelik and George Biros and Omar GhattasErnesto E. Prudencio and Xiao-Chuan CaiMartin Gander and Frederic NatafJean Cote and Martin J. Gander and Lahcen Laayouni and Abdessamad QaddouriVictorita Dolean and Frederic NatafOlivier DuboisLuca Gerardo-Giorda and Frederic NatafSebastien LoiselAchim Schadle and Lin ZschiedrichAmik St-Cyr and Martin J. Gander and Stephen J. ThomasDaniel Rixen and Christian Rey and Pierre GosseletZdenek Dostal and David Horak and Dan StefanicaWeiguo Gao and Xiaoye S. Li and Chao Yang and Zhaojun BaiMartin J. Gander and Laurence Halpern and Caroline Japhet and Veronique MartinFrederic Nataf and Gerd RapinRonald H. W. Hoppe and Jin-Fa LeeMarinos Vouvakis and Jin-Fa LeeMartin Gander and Laurence HalpernEric Blayo and Laurence Halpern and Caroline JaphetDaoud S. DaoudMartin J. Gander and Laurence Halpern and Michel KernMartin J. Gander and Stefan VandewalleLaurence HalpernMarcus Sarkis and Daniel SzyldJung-Han Kimn and Blaise BourdinJung-Han Kimn and Marcus SarkisLuke N. Olson and Jan S. Hesthaven and Lucas C. WilcoxSerguei Ovtchinnikov and Florin Dobrian and Xiao-Chuan Cai and David KeyesMarcus Sarkis and Daniel B. SzyldAxel Klawonn and Kendall PiersonNina Dokeva and Wlodek ProskurowskiMaksymilian Dryja and Olof WidlundYannis Fragakis and Manolis PapadrakakisJuan Galvis and Marcus SarkisHyea Hyun KimAxel Klawonn and Oliver RheinbachAxel Klawonn and Oliver Rheinbach and Barbara WohlmuthUlrich Langer and Gunther Of and Olaf Steinbach and Walter ZulehnerJing Li and Olof WidlundJan Mandel and Bedrich SousedikJun Sun and Pan Michaleris and Anshul Gupta and Padma RaghavanXuemin TuPatrick Le TallecPatrice Hauret and Patrick Le TallecJ.-B. Apoung Kamga and Olivier PironneauTalal Rahman and Xuejun XuJuan A. Acebron and Renato SpiglerMikael BarboteuHeiko Berninger and Ralf Kornhuber and Oliver SanderSilvia Bertoluzza and Micol PennacchioJames Brannick and Marian Brezina and David Keyes and Oren Livne and Irene Livshits and Scott MacLachlan and Tom Manteuffel and Steve McCormick and John Ruge and Ludmil ZikatanovTimothy Chartier and Robert Falgout and Van Emden Henson and Jim E. Jones and Tom A. Manteuffel and Steve F. McCormick and John W. Ruge and Panayot S. VassilevskiD. K. Datta and Saikat Dey and Joseph J. ShirronMaria Emelianenko and Qiang DuDrazen Fabris and Sergio ZarantonelloKonstantin Fackeldey and Rolf H. KrauseSilvia FallettaMarc Garbey and Hatem LtaiefIvan G. Graham and Patrick O. LechnerWilliam D. Gropp and Dinesh K. Kaushik and David E. Keyes and Barry F. SmithDavid Guibert and Damien Tromeur-DervoutQuyen Huynh and Kazufumi Ito and Jari ToivanenBin Jiang and John C. Bruch, Jr.Hiroshi Kanayama and Diasuke Tagami and Masatsugu ChibaKab Seok KangSanjay K. Khattri and Gunnar E. Fladmark and Helge K. DahleIlya Lashuk and Merico Argentati and Evgueni Ovtchinnikov and Andrew KnyazevRadek Kucera and Jaroslav Haslinger and Zdenek DostalDeepak V. Kulkarni and Dimitrios V. Rovas and Daniel A. TortorelliChoi-Hong Lai and Diane Crane and Alan DaviesSabine Le Borne and Lars Grasedyck and Ronald KriemannShuang Li and Kening WangLeszek MarcinkowskiRemo Minero and Martijn J.H. Anthonissen and Robert M.M. MattheijR.-P. Mundani and H.-J. Bungartz and E. Rank and A. Niggl and R. RombergFrancois Pacull and Marc GarbeyRichard Pasquetti and Luca F. Pavarino and Francesca Rapetti and Elena ZampieriBobby Philip and Michael Pernice and Luis ChaconLaura Portero and Juan Carlos JorgeMarzio Sala and Paul T. Lin and John N. Shadid and Ray S. TuminaroDan StefanicaKeita Teranishi and Padma RaghavanHenrique Versieux and Marcus SarkisVit Vondrak and Zdenek Dostal and Jiri Dobias and Svatopluk Ptak
Part I Plenary Presentations
A Domain Decomposition Solver for a Parallel Adaptive Meshing Paradigmp. 3
Algebraic Multigrid Methods Based on Compatible Relaxation and Energy Minimizationp. 15
Lower Bounds in Domain Decompositionp. 27
Heterogeneous Domain Decomposition Methods for Fluid-Structure Interaction Problemsp. 41
Preconditioning of Saddle Point Systems by Substructuring and a Penalty Approachp. 53
Nonconforming Methods for Nonlinear Elasticity Problemsp. 65
Finite Element Methods with Patches and Applicationsp. 77
On Preconditioned Uzawa-type Iterations for a Saddle Point Problem with Inequality Constraintsp. 91
Multilevel Methods for Eigenspace Computations in Structural Dynamicsp. 103
Recent Developments on Optimized Schwarz Methodsp. 115
Schur Complement Preconditioners for Distributed General Sparse Linear Systemsp. 127
Schwarz Preconditioning for High Order Simplicial Finite Elementsp. 139
Part II Minisymposia
Minisymposium 1 Domain Decomposition Methods for Simulation-constrained Optimizationp. 153
Robust Multilevel Restricted Schwarz Preconditioners and Applicationsp. 155
Minisymposium 2 Optimized Schwarz Methodsp. 163
Optimized Schwarz Methods in Spherical Geometry with an Overset Grid Systemp. 165
An Optimized Schwarz Algorithm for the Compressible Euler Equationsp. 173
Optimized Schwarz Methods with Robin Conditions for the Advection-Diffusion Equationp. 181
Optimized Algebraic Interface Conditions in Domain Decomposition Methods for Strongly Heterogeneous Unsymmetric Problemsp. 189
Optimal and Optimized Domain Decomposition Methods on the Spherep. 197
Additive Schwarz Method for Scattering Problems Using the PML Method at Interfacesp. 205
Optimized Restricted Additive Schwarz Methodsp. 213
Minisymposium 3 Domain Decomposition Methods Applied to Challenging Engineering Problemsp. 221
An Overview of Scalable FETI-DP Algorithms for Variational Inequalitiesp. 223
Performance Evaluation of a Multilevel Sub-structuring Method for Sparse Eigenvalue Problemsp. 231
Advection Diffusion Problems with Pure Advection Approximation in Subregionsp. 239
Construction of a New Domain Decomposition Method for the Stokes Equationsp. 247
Minisymposium 4 Domain Decomposition Methods for Electromagnetic Field Problemsp. 255
A Domain Decomposition Approach for Non-conformal Couplings between Finite and Boundary Elements for Electromagnetic Scattering Problems in R[superscript 3]p. 257
Minisymposium 5 Space-time Parallel Methods for Partial Differential Equationsp. 265
Optimized Schwarz Waveform Relaxation Algorithms with Nonconforming Time Discretization for Coupling Convection-diffusion Problems with Discontinuous Coefficientsp. 267
Stability of the Parareal Time Discretization for Parabolic Inverse Problemsp. 275
A Schwarz Waveform Relaxation Method for Advection-Diffusion-Reaction Problems with Discontinuous Coefficients and Non-matching Gridsp. 283
On the Superlinear and Linear Convergence of the Parareal Algorithmp. 291
Optimized Sponge Layers, Optimized Schwarz Waveform Relaxation Algorithms for Convection-diffusion Problems and Best Approximationp. 299
Minisymposium 6 Schwarz Preconditioners and Acceleratorsp. 307
Numerical Implementation of Overlapping Balancing Domain Decomposition Methods on Unstructured Meshesp. 309
OBDD: Overlapping Balancing Domain Decomposition Methods and Generalizations to the Helmholtz Equationp. 317
Developments in Overlapping Schwarz Preconditioning of High-Order Nodal Discontinuous Galerkin Discretizationsp. 325
Domain-decomposed Fully Coupled Implicit Methods for a Magnetohydrodynamics Problemp. 333
A Proposal for a Dynamically Adapted Inexact Additive Schwarz Preconditionerp. 341
Minisymposium 7 FETI and Neumann-Neumann Methods with Primal Constraintsp. 347
Parallel Scalability of a FETI-DP Mortar Method for Problems with Discontinuous Coefficientsp. 349
Neumann-Neumann Algorithms (Two and Three Levels) for Finite Element Elliptic Problems with Discontinuous Coefficients on Fine Triangulationp. 357
The Primal Alternatives of the FETI Methods Equipped with the Lumped Preconditionerp. 365
Balancing Domain Decomposition Methods for Mortar Coupling Stokes-Darcy Systemsp. 373
A FETI-DP Formulation for Compressible Elasticity with Mortar Constraintsp. 383
Some Computational Results for Robust FETI-DP Methods Applied to Heterogeneous Elasticity Problems in 3Dp. 391
Dual-primal Iterative Substructuring for Almost Incompressible Elasticityp. 399
Inexact Fast Multipole Boundary Element Tearing and Interconnecting Methodsp. 407
A BDDC Preconditioner for Saddle Point Problemsp. 415
Adaptive Coarse Space Selection in the BDDC and the FETI-DP Iterative Substructuring Methods: Optimal Face Degrees of Freedomp. 423
Applications of the FETI-DP-RBS-LNA Algorithm on Large Scale Problems with Localized Nonlinearitiesp. 431
Three-level BDDCp. 439
Minisymposium 8 Analysis, Development and Implementation of Mortar Elements for 3D Problems in Mechanicsp. 447
Two-scale Dirichlet-Neumann Preconditioners for Boundary Refinementsp. 449
A Numerical Quadrature for the Schwarz-Chimera Methodp. 457
A New Variant of the Mortar Technique for the Crouzeix-Raviart Finite Elementp. 465
Part III Contributed Presentations
A New Probabilistic Approach to the Domain Decomposition Methodp. 475
An Adapted Coarse Space for Balancing Domain Decomposition Methods in Nonlinear Elastodynamicsp. 483
On Nonlinear Dirichlet-Neumann Algorithms for Jumping Nonlinearitiesp. 491
Preconditioners for High Order Mortar Methods based on Substructuringp. 499
Adaptive Smoothed Aggregation in Lattice QCDp. 507
Spectral Element Agglomerate AMGep. 515
Scalable Three-Dimensional Acoustics Using hp-finite/infinite Elements and FETI-DPp. 525
A Multilevel Energy-based Quantization Schemep. 533
A Cousin Formulation for Overlapped Domain Decomposition Applied to the Poisson Equationp. 541
Solving Frictional Contact Problems with Multigrid Efficiencyp. 549
The Approximate Integration in the Mortar Method Constraintp. 557
Fault Tolerant Domain Decomposition for Parabolic Problemsp. 567
Domain Decomposition for Heterogeneous Mediap. 575
Parallel Implicit Solution of Diffusion-limited Radiation Transportp. 581
Adaptive Parareal for Systems of ODEsp. 589
A Fast Helmholtz Solver for Scattering by a Sound-soft Target in Sedimentp. 597
Numerical Simulation of Free Seepage Flow on Non-matching Gridsp. 605
Stationary Incompressible Viscous Flow Analysis by a Domain Decomposition Methodp. 613
New Streamfunction Approach for Magnetohydrodynamicsp. 621
Control Volume Finite Difference On Adaptive Meshesp. 629
Preconditioned Eigensolver LOBPCG in hypre and PETScp. 637
A New FETI-based Algorithm for Solving 3D Contact Problems with Coulomb Frictionp. 645
A Discontinuous Galerkin Formulation for Solution of Parabolic Equations on Nonconforming Meshesp. 653
On a Parallel Time-domain Method for the Nonlinear Black-Scholes Equationp. 661
Domain-decomposition Based H-LU Preconditionersp. 669
Condition Number Estimates for C[superscript 0] Interior Penalty Methodsp. 677
An Iterative Substructuring Method for Mortar Nonconforming Discretization of a Fourth-Order Elliptic Problem in Two Dimensionsp. 685
Local Defect Correction for Time-Dependent Partial Differential Equationsp. 693
Extending the p-Version of Finite Elements by an Octree-Based Hierarchyp. 701
The Multigrid/[tau]-extrapolation Technique Applied to the Immersed Boundary Methodp. 709
Overlapping Schwarz Preconditioners for Fekete Spectral Elementsp. 717
Solution of Reduced Resistive Magnetohydrodynamics using Implicit Adaptive Mesh Refinementp. 725
Embedded Pairs of Fractional Step Runge-Kutta Methods and Improved Domain Decomposition Techniques for Parabolic Problemsp. 733
Algebraic Multilevel Preconditioners for Nonsymmetric PDEs on Stretched Gridsp. 741
A Balancing Algorithm for Mortar Methodsp. 749
A Hybrid Parallel Preconditioner Using Incomplete Cholesky Factorization and Sparse Approximate Inversionp. 757
A Three-Scale Finite Element Method for Elliptic Equations with Rapidly Oscillating Periodic Coefficientsp. 765
A FETI Domain Decomposition Method Applied to Contact Problems with Large Displacementsp. 773
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