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Domain Decomposition Methods in Science and Engineering XXI

Overview of attention for book
Domain Decomposition Methods in Science and Engineering XXI
Springer International Publishing

Table of Contents

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    Book Overview
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    Chapter 1 Space Decompositions and Solvers for Discontinuous Galerkin Methods
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    Chapter 2 A Finite Element Method for Particulate Flow
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    Chapter 3 Optimized Schwarz Waveform Relaxation for Nonlinear Systems of Parabolic Type
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    Chapter 4 Domain Decomposition for Boundary Integral Equations via Local Multi-Trace Formulations
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    Chapter 5 Recent Advances in Domain Decomposition Methods for the Stokes Problem
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    Chapter 6 On an Adaptive Coarse Space and on Nonlinear Domain Decomposition
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    Chapter 7 On Iterative Substructuring Methods for Multiscale Problems
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    Chapter 8 A Mortar BDD Method for Solving Flow in Stochastic Discrete Fracture Networks
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    Chapter 9 A Domain-Based Multinumeric Method for the Steady-State Convection-Diffusion Equation
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    Chapter 10 3-D FETI-DP Preconditioners for Composite Finite Element-Discontinuous Galerkin Methods
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    Chapter 11 A Multi-Stage Preconditioner for the Black Oil Model and Its OpenMP Implementation
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    Chapter 12 A FETI-DP Algorithm for Incompressible Stokes Equations with Continuous Pressures
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    Chapter 13 Generating Equidistributed Meshes in 2D via Domain Decomposition
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    Chapter 14 MPI–OpenMP Algorithms for the Parallel Space–Time Solution of Time Dependent PDEs
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    Chapter 15 Neumann–Neumann Waveform Relaxation for the Time-Dependent Heat Equation
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    Chapter 16 GPU-Based Parallel Reservoir Simulators
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    Chapter 17 Optimized Schwarz Methods with Overlap for the Helmholtz Equation
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    Chapter 18 DG Discretization of Optimized Schwarz Methods for Maxwell’s Equations
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    Chapter 19 Simulations of Micro Channel Gas Flows with Domain Decomposition Technique for Kinetic and Fluid Dynamics Equations
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    Chapter 20 Multiscale Finite Elements for Linear Elasticity: Oscillatory Boundary Conditions
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    Chapter 21 Inexact BDDC Methods for the Cardiac Bidomain Model
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    Chapter 22 Parallel Coupled and Uncoupled Multilevel Solvers for the Bidomain Model of Electrocardiology
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    Chapter 23 Fuzzy Domain Decomposition: A New Perspective on Heterogeneous DD Methods
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    Chapter 24 A New Coarse Grid Correction for RAS/AS
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    Chapter 25 Aggregation-Based Aggressive Coarsening with Polynomial Smoothing
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    Chapter 26 Space–Time Domain Decomposition for Mixed Formulations of Diffusion Equations
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    Chapter 27 Block Jacobi for Discontinuous Galerkin Discretizations: No Ordinary Schwarz Methods
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    Chapter 28 Overlapping Domain Decomposition Methods with FreeFem++
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    Chapter 29 On the Influence of Curvature on Transmission Conditions
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    Chapter 30 Conservative Inexact Solvers for Porous Media Flow
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    Chapter 31 Robust Isogeometric Schwarz Preconditioners for Composite Elastic Materials
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    Chapter 32 Hybrid Domain Decomposition Solvers for the Helmholtz Equation
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    Chapter 33 Efficient Implementation of a Multi-Level Parallel in Time Algorithm
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    Chapter 34 Optimized Schwarz Methods and Model Adaptivity in Electrocardiology Simulations
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    Chapter 35 A New Interface Cement Equilibrated Mortar Method with Ventcel Conditions
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    Chapter 36 FETI-DP Methods for Optimal Control Problems
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    Chapter 37 Domain Decomposition Methods in Feel++
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    Chapter 38 Additive Schwarz Method for DG Discretization of Anisotropic Elliptic Problems
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    Chapter 39 A One-Level Additive Schwarz Preconditioner for a Discontinuous Petrov–Galerkin Method
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    Chapter 40 A Smooth Transition Approach Between the Vlasov–Poisson and the Euler–Poisson System
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    Chapter 41 The Parareal in Time Algorithm Applied to the Kinetic Neutron Diffusion Equation
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    Chapter 42 Achieving Robustness Through Coarse Space Enrichment in the Two Level Schwarz Framework
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    Chapter 43 Optimized Schwarz Algorithms in the Framework of DDFV Schemes
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    Chapter 44 A Time-Dependent Dirichlet-Neumann Method for the Heat Equation
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    Chapter 45 Hierarchical Model (Hi-Mod) Reduction in Non-rectilinear Domains
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    Chapter 46 The Origins of the Alternating Schwarz Method
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    Chapter 47 Solving Large Systems on HECToR Using the 2-Lagrange Multiplier Methods
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    Chapter 48 Coupled Finite and Boundary Element Methods for Vibro-Acoustic Interface Problems
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    Chapter 49 Optimized Schwarz Methods for Maxwell Equations with Discontinuous Coefficients
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    Chapter 50 Lower Dimensional Coarse Spaces for Domain Decomposition
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    Chapter 51 Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees
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    Chapter 52 ASM-BDDC Preconditioners with Variable Polynomial Degree for CG- and DG-SEM
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    Chapter 53 Domain Decomposition in Shallow-Water Modelling for Practical Flow Applications
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    Chapter 54 Space–Time Domain Decomposition with Finite Volumes for Porous Media Applications
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    Chapter 55 Block Jacobi Relaxation for Plane Wave Discontinuous Galerkin Methods
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    Chapter 56 Optimized Schwarz Methods for Curl-Curl Time-Harmonic Maxwell’s Equations
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    Chapter 57 On the Origins of Iterative Substructuring Methods
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    Chapter 58 Discontinuous Coarse Spaces for DD-Methods with Discontinuous Iterates
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    Chapter 59 A Two-Level Preconditioning Framework Based on a Richardson Iterative Process
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    Chapter 60 Distributed Nonsmooth Contact Domain Decomposition (NSCDD): Algorithmic Structure and Scalability
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    Chapter 61 Integrating an N-Body Problem with SDC and PFASST
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    Chapter 62 Hybrid Space–Time Parallel Solution of Burgers’ Equation
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    Chapter 63 Optimized Interface Preconditioners for the FETI Method
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    Chapter 64 Domain Decomposition Method for Reaction-Diffusion Systems
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    Chapter 65 Domain Decomposition for the Neutron SP N Equations
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    Chapter 66 A Stochastic-Based Optimized Schwarz Method for the Gravimetry Equations on GPU Clusters
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    Chapter 67 A Parallel Preconditioner for a FETI-DP Method for the Crouzeix–Raviart Finite Element
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    Chapter 68 An Adaptive Parallel-in-Time Method with Application to a Membrane Problem
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    Chapter 69 A Schur Complement Method for DAE Systems in Power System Dynamic Simulations
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    Chapter 70 FETI Solvers for Non-standard Finite Element Equations Based on Boundary Integral Operators
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    Chapter 71 Domain Decomposition Methods for Problems of Unilateral Contact Between Elastic Bodies with Nonlinear Winkler Covers
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    Chapter 72 Asymptotic Expansions and Domain Decomposition
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    Chapter 73 A Schur Complement Method for Compressible Two-Phase Flow Models
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    Chapter 74 A Posteriori Error Estimates for a Neumann-Neumann Domain Decomposition Algorithm Applied to Contact Problems
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    Chapter 75 Additive Schwarz with Variable Weights
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    Chapter 76 A Parallel Multigrid Solver on a Structured Triangulation of a Hexagonal Domain
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    Chapter 77 A Parallel Crank–Nicolson Predictor-Corrector Method for Many Subdomains
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    Chapter 78 Heterogeneous Coupling for Implicitly Described Domains
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    Chapter 79 NKS Method for the Implicit Solution of a Coupled Allen-Cahn/Cahn-Hilliard System
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    Chapter 80 Domain Decomposition Methods in Science and Engineering XXI
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    Chapter 81 Practical Aspects of Domain Decomposition in Jacobi-Davidson for Parallel Performance
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    Chapter 82 Low-Rank Update of the Restricted Additive Schwarz Preconditioner for Nonlinear Systems
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    Chapter 83 GMRES Acceleration of Restricted Schwarz Iterations
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    Chapter 84 A Nonlinear Domain Decomposition Technique for Scalar Elliptic PDEs
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    Chapter 85 A Non Overlapping Domain Decomposition Method for the Obstacle Problem
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    Chapter 86 A Domain Decomposition Algorithm for Contact Problems with Coulomb’s Friction
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    Chapter 87 Hybrid Dual-Primal FETI-Schur Complement Method for Stokes
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    Chapter 88 Stable Computations of Generalized Inverses of Positive Semidefinite Matrices
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    Chapter 89 Parallel Implementation of Total-FETI DDM with Application to Medical Image Registration
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    Chapter 90 Finite Element Analysis of Multi-Component Assemblies: CAD-Based Domain Decomposition
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    Chapter 91 A Finite Volume Ventcell–Schwarz Algorithm for Advection-Diffusion Equations
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    Chapter 92 Domain Decomposition with Nesterov’s Method
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    Chapter 93 Total-FETI Method for Solving Contact Elasto-Plastic Problems
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    Chapter 94 Nonlinear Transmission Conditions for time Domain Decomposition Method
Attention for Chapter 49: Optimized Schwarz Methods for Maxwell Equations with Discontinuous Coefficients
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Chapter title
Optimized Schwarz Methods for Maxwell Equations with Discontinuous Coefficients
Chapter number 49
Book title
Domain Decomposition Methods in Science and Engineering XXI
Published by
Springer, Cham, January 2014
DOI 10.1007/978-3-319-05789-7_49
Book ISBNs
978-3-31-905788-0, 978-3-31-905789-7
Authors

Victorita Dolean, Martin J. Gander, Erwin Veneros, Dolean, Victorita, Gander, Martin J., Veneros, Erwin

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