This volume collects 53 of the presentations of the Thirteenth International Conference on Domain Decomposition Methods, Lion, France, October 9-12, 2000.

Besides inspiring elegant theory, domain decomposition methodology satisfies the architectural imperatives of high-performance computers better than methods operating only on the finest scale of the discretization and over the global data set. These imperatives include: concurrency on the scale of the number of available processors, spatial data locality, temporal data locality, reasonably small communication-to-computation ratios, and reasonably infrequent process synchronization (measured by the number of useful floating-point operations performed between synchronizations).

Domain decomposition has proved to be an ideal paradigm not only for execution on advanced architecture computers, but also for the development of reusable, portable software.

Finally, it should be noted that domain decomposition is offen a natural paradigm for the modeling community. Physical systems are often decomposed into two or more contiguous subdomains based on phenomenological considerations, such as

the importance or neglibility of viscosity or reactivity, or any other feature, and the subdomains are discretized accordingly, as independent tasks.

These book are interesting for mathematicians, computer scientists and computational scientists.

# Domain Decomposition Methods in Science and Engineering

49,00€

Book

**Authors:**N. Debit, M. Garbey, R. Hoppe, D. Keyes, Y. Kuznetsov, J. Périaux

**ISBN:**84-95999-07-2

**Editorial:**CIMNE

**Year of publication:**2002

**Pages:**511

**Index:**I INVITED LECTURES 1Additive Schwarz method for nonsymmetric problems : application to frictional multicontact problems (ALART, BARBOTEU, LE TALLEC,VIDRASCU) 2 Multigraph Algorithms Based on Sparse Gaussian Elimination (BANK, SMITH) 3 The Mortar element method revisited What are the right norms? (BRAESS, DAHMEN) 4 A New Look at FETI (BRENNER) 5 Aitken-Schwarz algorithm on Cartesian grid (GARBEY, TROMEUR- DERVOUT) 6 Domain decomposition and fictitious domain methods with distributed Lagrange multipliers (KUZNETSOV) 7 Overlapping preconditioners for discontinuous Galerkin approximations of second order problems (LASSER,TOSELLI) 8 On Polynomial Reproduction of Dual FE Bases (OSWALD, WOHLMUTH) 9 Decomposition Algorithms for DDM (PIRONNEAU, DELPINO,LIONS) 10 Cartesian and Curvilinear Grid Methods for Multi-domain, Moving Boundary Problems (SHYY, FRANCOIS, UDAYKUMAR) 11Rate of Convergence for Parallel Subspace Correction Methods for nonlinear variational inequalities (TAI, HEIMSUND, XU) 12 Search space decomposition of Nash/Stackelberg games using genetic algorithms for multi-point design optimization in aerodynamics (WANG,PERIAUX) II Theory 13Discontinuous Hybrid Formulation turned to Domain Decomposition (AGOUZAL, DEBIT) 14 The Singular Complement Method (ASSOUS, CIARLET, LABRUNIE, LOHREN-GEL) 15 Mortar spectral element discretization of Darcys equations (AZAIEZ, BEN BEL-GACEM, BERNARDI) 16 Substructuring techniques and Wavelets for Domain Decomposition (BERTOLUZZA) 17 A Neumann-Neumann method using a finite volume discretization (CAUTRES, GALLOUET, GERBI, HERBIN) 18 Nonmatching finite volume grids and the nonoverlapping Schwarz algorithm (CAUTRES, HERBIN, HUBERT) 19The Mortar Element Method for the Rotated Q1 Element (CHEN, XU) 20 Overlapping Schwarz Waveform Relaxation for Convection Reaction Diffusion Problems (DAOUD, GANDER) 21 Analysis of Two-Level Overlapping Additive Schwarz Preconditioners for a Discontinuous Galerkin Method (FENG, KARAKASHIAN) 22 Optimized Schwarz Methods for Helmholtz Problems (GANDER) 23 Optimized Schwarz Algorithms for Coupling Convection and Convection- Diffusion Problems (GANDER, HALPERN, JAPHET) 24Domain decomposition and virtual control for fourth order problems (GERVASIO, LIONS, QUARTERONI) 25 Building preconditioners for incompressible Stokes equations from saddle point solvers of smaller dimensions (PAVARINO, WIDLUND) 26 Multigrid for the Mortar-type Nonconforming Element Method for Nonsymmetric and Indefinite Problems (SHI, XU, CHEN) III Algorithms 27Recent development on Aitken-Schwarz method (BARANGER, GARBEY, OUDIN-DARDUN) 28Ahpik: A Parallel Multithreaded Framework Using Adaptivity and Domain Decomposition Methods for Solving PDE Problems (BENABDALLAH, CHARO, CHARPENTIER, PLATEAU) 29 Efficient Schwarz Methods for Elliptic Mortar Finite Element Problems (BJØRSTAD, DRYJA, RAHMAN) 30 Uniform Domain Decomposition for a Convection-Diffusion Problem (BOGLAEV) 31 Domain decomposition methods for solving scattering problems by a boundary element method (BOUBENDIR, BENDALI ) 32 On the use of iterative Schwarz algorithms in the solution of an optimal control problem (BOUNAIM) 33 RASHO: A Restricted Additive Schwarz Preconditioner with Harmonic Overlap (CAI, DRYJA, SARKIS) 34 A Nonlinear Additive Schwarz Preconditioned Inexact Newton Method for Shocked Duct Flows (CAI, KEYES, YOUNG) 35 Fictitious domain based solvers for particulate flows (DASHEVSKI, GLOWINSKI, KUZNETSOV, LIPNIKOV)

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SKU: L64
Category: Numerical Methods
Tags: D. Keyes, J. Périaux, M. Garbey, N. Debit, R. Hoppe, Y. Kuznetsov

Book

**Authors:**N. Debit, M. Garbey, R. Hoppe, D. Keyes, Y. Kuznetsov, J. Périaux

**ISBN:**84-95999-07-2

**Editorial:**CIMNE

**Year of publication:**2002

**Pages:**511

**Index:**I INVITED LECTURES 1Additive Schwarz method for nonsymmetric problems : application to frictional multicontact problems (ALART, BARBOTEU, LE TALLEC,VIDRASCU) 2 Multigraph Algorithms Based on Sparse Gaussian Elimination (BANK, SMITH) 3 The Mortar element method revisited What are the right norms? (BRAESS, DAHMEN) 4 A New Look at FETI (BRENNER) 5 Aitken-Schwarz algorithm on Cartesian grid (GARBEY, TROMEUR- DERVOUT) 6 Domain decomposition and fictitious domain methods with distributed Lagrange multipliers (KUZNETSOV) 7 Overlapping preconditioners for discontinuous Galerkin approximations of second order problems (LASSER,TOSELLI) 8 On Polynomial Reproduction of Dual FE Bases (OSWALD, WOHLMUTH) 9 Decomposition Algorithms for DDM (PIRONNEAU, DELPINO,LIONS) 10 Cartesian and Curvilinear Grid Methods for Multi-domain, Moving Boundary Problems (SHYY, FRANCOIS, UDAYKUMAR) 11Rate of Convergence for Parallel Subspace Correction Methods for nonlinear variational inequalities (TAI, HEIMSUND, XU) 12 Search space decomposition of Nash/Stackelberg games using genetic algorithms for multi-point design optimization in aerodynamics (WANG,PERIAUX) II Theory 13Discontinuous Hybrid Formulation turned to Domain Decomposition (AGOUZAL, DEBIT) 14 The Singular Complement Method (ASSOUS, CIARLET, LABRUNIE, LOHREN-GEL) 15 Mortar spectral element discretization of Darcys equations (AZAIEZ, BEN BEL-GACEM, BERNARDI) 16 Substructuring techniques and Wavelets for Domain Decomposition (BERTOLUZZA) 17 A Neumann-Neumann method using a finite volume discretization (CAUTRES, GALLOUET, GERBI, HERBIN) 18 Nonmatching finite volume grids and the nonoverlapping Schwarz algorithm (CAUTRES, HERBIN, HUBERT) 19The Mortar Element Method for the Rotated Q1 Element (CHEN, XU) 20 Overlapping Schwarz Waveform Relaxation for Convection Reaction Diffusion Problems (DAOUD, GANDER) 21 Analysis of Two-Level Overlapping Additive Schwarz Preconditioners for a Discontinuous Galerkin Method (FENG, KARAKASHIAN) 22 Optimized Schwarz Methods for Helmholtz Problems (GANDER) 23 Optimized Schwarz Algorithms for Coupling Convection and Convection- Diffusion Problems (GANDER, HALPERN, JAPHET) 24Domain decomposition and virtual control for fourth order problems (GERVASIO, LIONS, QUARTERONI) 25 Building preconditioners for incompressible Stokes equations from saddle point solvers of smaller dimensions (PAVARINO, WIDLUND) 26 Multigrid for the Mortar-type Nonconforming Element Method for Nonsymmetric and Indefinite Problems (SHI, XU, CHEN) III Algorithms 27Recent development on Aitken-Schwarz method (BARANGER, GARBEY, OUDIN-DARDUN) 28Ahpik: A Parallel Multithreaded Framework Using Adaptivity and Domain Decomposition Methods for Solving PDE Problems (BENABDALLAH, CHARO, CHARPENTIER, PLATEAU) 29 Efficient Schwarz Methods for Elliptic Mortar Finite Element Problems (BJØRSTAD, DRYJA, RAHMAN) 30 Uniform Domain Decomposition for a Convection-Diffusion Problem (BOGLAEV) 31 Domain decomposition methods for solving scattering problems by a boundary element method (BOUBENDIR, BENDALI ) 32 On the use of iterative Schwarz algorithms in the solution of an optimal control problem (BOUNAIM) 33 RASHO: A Restricted Additive Schwarz Preconditioner with Harmonic Overlap (CAI, DRYJA, SARKIS) 34 A Nonlinear Additive Schwarz Preconditioned Inexact Newton Method for Shocked Duct Flows (CAI, KEYES, YOUNG) 35 Fictitious domain based solvers for particulate flows (DASHEVSKI, GLOWINSKI, KUZNETSOV, LIPNIKOV)

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