Domain Decomposition Methods in Science and Engineering XXIII

Table of Contents

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   Book Overview
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   Chapter 1 Global Convergence Rates of Some Multilevel Methods for Variational and Quasi-Variational Inequalities
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   Chapter 2 Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners
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   Chapter 3 Development of Nonlinear Structural Analysis Using Co-rotational Finite Elements with Improved Domain Decomposition Method
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   Chapter 4 An Adaptive Coarse Space for P.L. Lions Algorithm and Optimized Schwarz Methods
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   Chapter 5 On the Time-Domain Decomposition of Parabolic Optimal Control Problems
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   Chapter 6 Parallel Solver for $$\boldsymbol{H}$$ (div) Problems Using Hybridization and AMG
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   Chapter 7 Preconditioning for Nonsymmetry and Time-Dependence
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   Chapter 8 Algebraic Adaptive Multipreconditioning Applied to Restricted Additive Schwarz
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    Chapter 9 Closed Form Inverse of Local Multi-Trace Operators
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    Chapter 10 Schwarz Preconditioning for High Order Edge Element Discretizations of the Time-Harmonic Maxwell’s Equations
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    Chapter 11 On Nilpotent Subdomain Iterations
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    Chapter 12 A Direct Elliptic Solver Based on Hierarchically Low-Rank Schur Complements
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    Chapter 13 Optimized Schwarz Methods for Heterogeneous Helmholtz and Maxwell’s Equations
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    Chapter 14 On the Origins of Linear and Non-linear Preconditioning
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    Chapter 15 Time Parallelization for Nonlinear Problems Based on Diagonalization
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    Chapter 16 The Effect of Irregular Interfaces on the BDDC Method for the Navier-Stokes Equations
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    Chapter 17 BDDC and FETI-DP Methods with Enriched Coarse Spaces for Elliptic Problems with Oscillatory and High Contrast Coefficients
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    Chapter 18 Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems
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    Chapter 19 Newton-Krylov-FETI-DP with Adaptive Coarse Spaces
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    Chapter 20 New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables
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    Chapter 21 Direct and Iterative Methods for Numerical Homogenization
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    Chapter 22 Nonlinear Multiplicative Schwarz Preconditioning in Natural Convection Cavity Flow
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    Chapter 23 Treatment of Singular Matrices in the Hybrid Total FETI Method
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    Chapter 24 From Surface Equivalence Principle to Modular Domain Decomposition
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    Chapter 25 Space-Time CFOSLS Methods with AMGe Upscaling
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    Chapter 26 Scalable BDDC Algorithms for Cardiac Electromechanical Coupling
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    Chapter 27 A BDDC Algorithm for Weak Galerkin Discretizations
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    Chapter 28 Parallel Sums and Adaptive BDDC Deluxe
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    Chapter 29 Adaptive BDDC Deluxe Methods for H(curl)
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    Chapter 30 A Study of the Effects of Irregular Subdomain Boundaries on Some Domain Decomposition Algorithms
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    Chapter 31 On the Definition of Dirichlet and Neumann Conditions for the Biharmonic Equation and Its Impact on Associated Schwarz Methods
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    Chapter 32 SHEM: An Optimal Coarse Space for RAS and Its Multiscale Approximation
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    Chapter 33 Optimized Schwarz Methods for Domain Decompositions with Parabolic Interfaces
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    Chapter 34 A Mortar Domain Decomposition Method for Quasilinear Problems
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    Chapter 35 Deflated Krylov Iterations in Domain Decomposition Methods
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    Chapter 36 Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space
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    Chapter 37 Volume Locking Phenomena Arising in a Hybrid Symmetric Interior Penalty Method with Continuous Numerical Traces
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    Chapter 38 Dual-Primal Domain Decomposition Methods for the Total Variation Minimization
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    Chapter 39 A Parallel Two-Phase Flow Solver on Unstructured Mesh in 3D
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    Chapter 40 Two New Enriched Multiscale Coarse Spaces for the Additive Average Schwarz Method
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    Chapter 41 Relaxing the Roles of Corners in BDDC by Perturbed Formulation
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    Chapter 42 Simulation of Blood Flow in Patient-specific Cerebral Arteries with a Domain Decomposition Method