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Domain Decomposition Methods in Science and Engineering

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Cover of 'Domain Decomposition Methods in Science and Engineering'

Table of Contents

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    Book Overview
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    Chapter 1 Non-matching Grids and Lagrange Multipliers
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    Chapter 2 A FETI Method for a Class of Indefinite or Complex Second- or Fourth-Order Problems
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    Chapter 3 Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes
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    Chapter 4 Numerical Approximation of Dirichlet-to-Neumann Mapping and its Application to Voice Generation Problem
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    Chapter 5 Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions
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    Chapter 6 Coupled Boundary and Finite Element Tearing and Interconnecting Methods
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    Chapter 7 Parallel Simulation of Multiphase/Multicomponent Flow Models
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    Chapter 8 Uncoupling-Coupling Techniques for Metastable Dynamical Systems
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    Chapter 9 On the Construction of Approximate Boundary Conditions for Solving the Interior Problem of the Acoustic Scattering Transmission Problem
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    Chapter 10 Approximation and Fast Calculation of Non-local Boundary Conditions for the Time-dependent Schrödinger Equation
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    Chapter 11 Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering by an Electrically Deep Cavity
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    Chapter 12 A Model for Parallel Adaptive Finite Element Software
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    Chapter 13 Towards a Unified Framework for Scientific Computing
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    Chapter 14 Distributed Point Objects. A New Concept for Parallel Finite Elements
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    Chapter 15 Local Defect Correction Techniques Applied to a Combustion Problem
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    Chapter 16 Electronic Packaging and Reduction in Modelling Time Using Domain Decomposition
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    Chapter 17 Improving Robustness and Parallel Scalability of Newton Method Through Nonlinear Preconditioning
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    Chapter 18 Iterative Substructuring Methods for Indoor Air Flow Simulation
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    Chapter 19 Fluid-Structure Interaction Using Nonconforming Finite Element Methods
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    Chapter 20 Interaction Laws in Viscous-Inviscid Coupling
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    Chapter 21 Comparison of the Dirichlet-Neumann and Optimal Schwarz Method on the Sphere
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    Chapter 22 Finite Volume Methods on Non-Matching Grids with Arbitrary Interface Conditions and Highly Heterogeneous Media
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    Chapter 23 Nonlinear Advection Problems and Overlapping Schwarz Waveform Relaxation
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    Chapter 24 A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case
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    Chapter 25 Acceleration of a Domain Decomposition Method for Advection-Diffusion Problems
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    Chapter 26 A Stabilized Three-Field Formulation and its Decoupling for Advection-Diffusion Problems
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    Chapter 27 Approximation of Optimal Interface Boundary Conditions for Two-Lagrange Multiplier FETI Method
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    Chapter 28 Optimized Overlapping Schwarz Methods for Parabolic PDEs with Time-Delay
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    Chapter 29 A More General Version of the Hybrid-Trefftz Finite Element Model by Application of TH-Domain Decomposition
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    Chapter 30 Mixed Finite Element Methods for Diffusion Equations on Nonmatching Grids
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    Chapter 31 Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications
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    Chapter 32 Non-Conforming Finite Element Methods for Nonmatching Grids in Three Dimensions
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    Chapter 33 On an Additive Schwarz Preconditioner for the Crouzeix-Raviart Mortar Finite Element
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    Chapter 34 A FETI-DP Method for the Mortar Discretization of Elliptic Problems with Discontinuous Coefficients
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    Chapter 35 A FETI-DP Formulation for Two-dimensional Stokes Problem on Nonmatching Grids
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    Chapter 36 Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D
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    Chapter 37 The FETI Based Domain Decomposition Method for Solving 3D-Multibody Contact Problems with Coulomb Friction
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    Chapter 38 Choosing Nonmortars: Does it Influence the Performance of FETI-DP Algorithms?
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    Chapter 39 Domain Decomposition Methods in Electrothermomechanical Coupling Problems
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    Chapter 40 A Multiphysics Strategy for Free Surface Flows
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    Chapter 41 Weighted Norm-Equivalences for Preconditioning
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    Chapter 42 Preconditioning for Heterogeneous Problems
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    Chapter 43 On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
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    Chapter 44 A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
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    Chapter 45 The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation
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    Chapter 46 Stability of the Parareal Algorithm
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    Chapter 47 Multilevel Homotopic Adaptive Finite Element Methods for Convection Dominated Problems
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    Chapter 48 A Convergent Algorithm for Time Parallelization Applied to Reservoir Simulation
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    Chapter 49 Nonlinear Positive Interpolation Operators for Analysis with Multilevel Grids
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    Chapter 50 On Scalable Algorithms for Numerical Solution of Variational Inequalities Based on FETI and Semi-monotonic Augmented Lagrangians
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    Chapter 51 Fast Solving of Contact Problems on Complicated Geometries
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    Chapter 52 Generalized Aitken-like Acceleration of the Schwarz Method
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    Chapter 53 The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments
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    Chapter 54 Modelling of an Underground Waste Disposal Site by Upscaling and Simulation with Domain Decomposition Method
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    Chapter 55 Non-Overlapping DDMs to Solve Flow in Heterogeneous Porous Media
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    Chapter 56 Domain Embedding/Controllability Methods for the Conjugate Gradient Solution of Wave Propagation Problems
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    Chapter 57 An Accelerated Block-Parallel Newton Method via Overlapped Partitioning
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    Chapter 58 Generation of Balanced Subdomain Clusters with Minimum Interface for Distributed Domain Decomposition Applications
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    Chapter 59 Iterative Methods for Stokes/Darcy Coupling
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    Chapter 60 Preconditioning Techniques for the Bidomain Equations
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    Chapter 61 Direct Schur Complement Method by Hierarchical Matrix Techniques
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    Chapter 62 Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems
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    Chapter 63 Domain Decomposition Preconditioners for Spectral Nédélec Elements in Two and Three Dimensions
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    Chapter 64 Parallel Distributed Object-Oriented Framework for Domain Decomposition
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    Chapter 65 A Domain Decomposition Based Two-Level Newton Scheme for Nonlinear Problems
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    Chapter 66 Domain Decomposition for Discontinuous Galerkin Method with Application to Stokes Flow
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    Chapter 67 Hierarchical Matrices for Convection-Dominated Problems
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    Chapter 68 Parallel Performance of Some Two-Level ASPIN Algorithms
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    Chapter 69 Algebraic Analysis of Schwarz Methods for Singular Systems
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    Chapter 70 Schwarz Waveform Relaxation Method for the Viscous Shallow Water Equations
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    Chapter 71 A Two-Grid Alternate Strip-Based Domain Decomposition Strategy in Two-Dimensions
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    Chapter 72 Parallel Solution of Cardiac Reaction-Diffusion Models
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    Chapter 73 Predictor-Corrector Methods for Solving Continuous Casting Problem
Overall attention for this book and its chapters
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Title
Domain Decomposition Methods in Science and Engineering
Published by
Springer Berlin Heidelberg, January 2005
DOI 10.1007/b138136
ISBNs
978-3-54-022523-2, 978-3-54-026825-3
Authors

Timothy J. Barth, Michael Griebel, David E. Keyes, Risto M. Nieminen, Dirk Roose, Tamar Schlick, Ralf Kornhuber, Ronald Hoppe, Jacques Périaux, Olivier Pironneau, Olof Widlund, Jinchao Xu

Editors

Barth, Timothy J., Griebel, Michael, Keyes, David E., Nieminen, Risto M., Roose, Dirk, Schlick, Tamar, Kornhuber, Ralf, Hoppe, Ronald, Périaux, Jacques, Pironneau, Olivier, Widlund, Olof, Xu, Jinchao

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 38 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 2 5%
Spain 1 3%
Czechia 1 3%
Unknown 34 89%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 10 26%
Professor 6 16%
Researcher 5 13%
Student > Doctoral Student 4 11%
Lecturer 3 8%
Other 8 21%
Unknown 2 5%
Readers by discipline Count As %
Engineering 11 29%
Mathematics 6 16%
Computer Science 5 13%
Earth and Planetary Sciences 4 11%
Physics and Astronomy 1 3%
Other 3 8%
Unknown 8 21%