: Timothy J. Barth, Michael Griebel, David E. Keyes, Risto M. Nieminen, Dirk Roose, Tamar Schlick, Ral
: Ralf Kornhuber, Ronald W. Hoppe, Jacques Périaux, Olivier Pironneau, Olof Widlund, Jinchao Xu
: Domain Decomposition Methods in Science and Engineering
: Springer-Verlag
: 9783540268253
: 1
: CHF 132.50
:
: Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
: English
: 690
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

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.
Preface5
Contents10
Invited Talks18
Non-matching Grids and Lagrange Multipliers19
A FETI Method for a Class of Indefinite or Complex Second- or Fourth- Order Problems35
Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier- Stokes51
Numerical Approximation of Dirichlet- to- Neumann Mapping and its Application to Voice Generation Problem66
Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions81
Coupled Boundary and Finite Element Tearing and Interconnecting Methods96
Parallel Simulation of Multiphase/ Multicomponent Flow Models111
Uncoupling-Coupling Techniques for Metastable Dynamical Systems126
Minisymposium: Domain Decomposition Methods for Wave Propagation in Unbounded Media141
On the Construction of Approximate Boundary Conditions for Solving the Interior Problem of the Acoustic Scattering Transmission Problem142
Approximation and Fast Calculation of Non- local Boundary Conditions for the Time- dependent Schrödinger Equation150
Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering by an Electrically Deep Cavity158
Minisymposium: Parallel Finite Element Software166
A Model for Parallel Adaptive Finite Element Software167
Towards a Unified Framework for Scientific Computing175
Distributed Point Objects. A New Concept for Parallel Finite Elements183
Minisymposium: Collaborating Subdomains for Multi- Scale Multi- Physics Modelling191
Local Defect Correction Techniques Applied to a Combustion Problem192
Electronic Packaging and Reduction in Modelling Time Using Domain Decomposition200
Improving Robustness and Parallel Scalability of Newton Method Through Nonlinear Preconditioning208
Iterative Substructuring Methods for Indoor Air Flow Simulation216
Fluid-Structure Interaction Using Nonconforming Finite Element Methods224
Interaction Laws in Viscous-Inviscid Coupling232
Minisymposium: Recent Developments for Schwarz Methods240
Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere241
Finite Volume Methods on Non-Matching Grids with Arbitrary Interface Conditions and Highly Heterogeneous Media249
Nonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation257
A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case265
Acceleration of a Domain Decomposition Method for Advection- Diffusion Problems273
A Stabilized Three-Field Formulation and its Decoupling for Advection- Diffusion Problems281
Approximation of Optimal Interface Boundary Conditions for Two- Lagrange Multiplier FETI Method289
Optimized Overlapping Schwarz Methods for Parabolic PDEs with Time- Delay297
Minisymposium: Trefftz-Methods305
A More General Version of the Hybrid-Trefftz Finite Element Model by Application of TH- Domain Decomposition306
Minisymposium: Domain Decomposition on Nonmatching Grids314
Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids315
Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications323
Non-Conforming Finite Element Methods for Nonmatching Grids in Three Dimensions331
On an Additive Schwarz Preconditioner for the Crouzeix- Raviart Mortar Finite Element339
Minisymposium: FETI and Neumann- Neumann Domain Decomposition Methods347
A FETI-DP Method for the Mortar Discretization of Elliptic Problems with Discontinuous Coefficients348
A FETI-DP Formulation for Two-dimensional Stokes Problem on Nonmatching Grids