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Domain Decomposition Methods In Science And Engineering

Domain Decomposition Methods In Science And Engineering (Paperback)

(with 184 Figures)

Ralf Kornhuber, Ronald Hoppe (엮은이)
Springer Verlag
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Domain Decomposition Methods In Science And Engineering
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· 제목 : Domain Decomposition Methods In Science And Engineering (Paperback) (with 184 Figures)
· 분류 : 외국도서 > 컴퓨터 > 컴퓨터 공학
· ISBN : 9783540225232
· 쪽수 : 690쪽
· 출판일 : 2004-10-07

목차

Invited Talks.- Non-matching Grids and Lagrange Multipliers.- A FETI Method for a Class of Indefinite or Complex Second- or Fourth-Order Problems.- Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes.- Numerical Approximation of Dirichlet-to-Neumann Mapping and its Application to Voice Generation Problem.- Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions.- Coupled Boundary and Finite Element Tearing and Interconnecting Methods.- Parallel Simulation of Multiphase/Multicomponent Flow Models.- Uncoupling-Coupling Techniques for Metastable Dynamical Systems.- 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.- Approximation and Fast Calculation of Non-local Boundary Conditions for the Time-dependent Schrodinger Equation.- Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering by an Electrically Deep Cavity.- Minisymposium: Parallel Finite Element Software.- A Model for Parallel Adaptive Finite Element Software.- Towards a Unified Framework for Scientific Computing.- Distributed Point Objects. A New Concept for Parallel Finite Elements.- Minisymposium: Collaborating Subdomains for Multi-Scale Multi-Physics Modelling.- Local Defect Correction Techniques Applied to a Combustion Problem.- Electronic Packaging and Reduction in Modelling Time Using Domain Decomposition.- Improving Robustness and Parallel Scalability of Newton Method Through Nonlinear Preconditioning.- Iterative Substructuring Methods for Indoor Air Flow Simulation.- Fluid-Structure Interaction Using Nonconforming Finite Element Methods.- Interaction Laws in Viscous-Inviscid Coupling.- Minisymposium: Recent Developments for Schwarz Methods.- Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere.- Finite Volume Methods on Non-Matching Grids with Arbitrary Interface Conditions and Highly Heterogeneous Media.- Nonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation.- A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case.- Acceleration of a Domain Decomposition Method for Advection-Diffusion Problems.- A Stabilized Three-Field Formulation and its Decoupling for Advection-Diffusion Problems.- Approximation of Optimal Interface Boundary Conditions for Two-Lagrange Multiplier FETI Method.- Optimized Overlapping Schwarz Methods for Parabolic PDEs with Time-Delay.- Minisymposium: Trefftz-Methods.- A More General Version of the Hybrid-Trefftz Finite Element Model by Application of TH-Domain Decomposition.- Minisymposium: Domain Decomposition on Nonmatching Grids.- Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids.- Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications.- Non-Conforming Finite Element Methods for Nonmatching Grids in Three Dimensions.- On an Additive Schwarz Preconditioner for the Crouzeix-Raviart Mortar Finite Element.- Minisymposium: FETI and Neumann-Neumann Domain Decomposition Methods.- A FETI-DP Method for the Mortar Discretization of Elliptic Problems with Discontinuous Coefficients.- A FETI-DP Formulation for Two-dimensional Stokes Problem on Nonmatching Grids.- Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D.- The FETI Based Domain Decomposition Method for Solving 3D-Multibody Contact Problems with Coulomb Friction.- Choosing Nonmortars: Does it Influence the Performance of FETI-DP Algorithms?.- Minisymposium: Heterogeneous Domain Decomposition with Applications in Multiphysics.- Domain Decomposition Methods in Electrothermomechanical Coupling Problems.- A Multiphysics Strategy for Free Surface Flows.- Minisymposium: Robust Decomposition Methods for Parameter Dependent Problems.- Weighted Norm-Equivalences for Preconditioning.- Preconditioning for Heterogeneous Problems.- Minisymposium: Recent Advances for the Parareal in Time Algorithm.- On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations.- A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations.- The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation.- Stability of the Parareal Algorithm.- Minisymposium: Space Decomposition and Subspace Correction Methods for Linear and Nonlinear Problems.- Multilevel Homotopic Adaptive Finite Element Methods for Convection Dominated Problems.- A Convergent Algorithm for Time Parallelization Applied to Reservoir Simulation.- Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids.- 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.- Fast Solving of Contact Problems on Complicated Geometries.- Contributed Talks.- Generalized Aitken-like Acceleration of the Schwarz Method.- The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments.- Modelling of an Underground Waste Disposal Site by Upscaling and Simulation with Domain Decomposition Method.- Non-Overlapping DDMs to Solve Flow in Heterogeneous Porous Media.- Domain Embedding/Controllability Methods for the Conjugate Gradient Solution of Wave Propagation Problems.- An Accelerated Block-Parallel Newton Method via Overlapped Partitioning.- Generation of Balanced Subdomain Clusters with Minimum Interface for Distributed Domain Decomposition Applications.- Iterative Methods for Stokes/Darcy Coupling.- Preconditioning Techniques for the Bidomain Equations.- Direct Schur Complement Method by Hierarchical Matrix Techniques.- Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems.- Domain Decomposition Preconditioners for Spectral Nedelec Elements in Two and Three Dimensions.- Parallel Distributed Object-Oriented Framework for Domain Decomposition.- A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems.- Domain Decomposition for Discontinuous Galerkin Method with Application to Stokes Flow.- Hierarchical Matrices for Convection-Dominated Problems.- Parallel Performance of Some Two-Level ASPIN Algorithms.- Algebraic Analysis of Schwarz Methods for Singular Systems.- Schwarz Waveform Relaxation Method for the Viscous Shallow Water Equations.- A Two-Grid Alternate Strip-Based Domain Decomposition Strategy in Two-Dimensions.- Parallel Solution of Cardiac Reaction-Diffusion Models.- Predictor-Corrector Methods for Solving Continuous Casting Problem.

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