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Domain Decomposition Methods in Science and Engineering XXVI

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Cover of 'Domain Decomposition Methods in Science and Engineering XXVI'

Table of Contents

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    Book Overview
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    Chapter 1 Multiscale Model Reduction for a Class of Optimal Control Problems with Highly Oscillating Coefficients
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    Chapter 2 Several Ways to Achieve Robustness When Solving Wave Propagation Problems
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    Chapter 3 Scalable Hybrid TFETI-DP Methods for Large Boundary Variational Inequalities
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    Chapter 4 Fundamental Coarse Space Components for Schwarz Methods with Crosspoints
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    Chapter 5 Nonoverlapping Domain Decomposition Methods for Time Harmonic Wave Problems
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    Chapter 6 Quantitative Analysis of Nonlinear Multifidelity Optimization for Inverse Electrophysiology
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    Chapter 7 Adaptive Space-Time Finite Element and Isogeometric Analysis
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    Chapter 8 Nonoverlapping Domain Decomposition Methods for Saddle Point Problems
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    Chapter 9 Local Residual Minimization Smoothing for Improving Convergence Behavior of a Space-Time Domain Decomposition Method
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    Chapter 10 GenEO Coarse Spaces for Heterogeneous Indefinite Elliptic Problems
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    Chapter 11 Inexact Subdomain Solves Using Deflated GMRES for Helmholtz Problems
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    Chapter 12 Non-Overlapping Domain Decomposition Methods with Cross-Points and Padé Approximants for the Helmholtz Equation
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    Chapter 13 OSDS: A Sweeping Preconditioner for the Helmholtz Equation
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    Chapter 14 Decomposition and Preconditioning of Deep Convolutional Neural Networks for Training Acceleration
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    Chapter 15 Numerical Calculation of the Portal Pressure Gradient of the Human Liver With a Domain Decomposition Method
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    Chapter 16 A Parallel Adaptive Finite Element Method for Modeling a Deformable Droplet Travelling in Air
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    Chapter 17 On the Effect of Boundary Conditions on the Scalability of Schwarz Methods
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    Chapter 18 On the Asymptotic Optimality of Spectral Coarse Spaces
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    Chapter 19 Discrete Analysis of Schwarz Waveform Relaxation for a Simplified Air-Sea Coupling Problem with Nonlinear Transmission Conditions
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    Chapter 20 A Posteriori Error Estimates in Maximum Norm for Interior Penalty Discontinuous Galerkin Approximation of the Obstacle Problem
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    Chapter 21 Spectral Equivalence Properties of Higher-Order Tensor Product Finite Elements
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    Chapter 22 Optimizing Transmission Conditions for Multiple Subdomains in the Magnetotelluric Approximation of Maxwell’s Equations
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    Chapter 23 Non-overlapping Spectral Additive Schwarz Methods for HDG and Multiscale Discretizations
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    Chapter 24 Robust BPX Solver for Cahn–Hilliard Equations
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    Chapter 25 Natural Factor Based Solvers
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    Chapter 26 A Simple Finite Difference Discretization for Ventcell Transmission Conditions at Cross Points
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    Chapter 27 Cycles in Newton–Raphson Preconditioned by Schwarz (ASPIN and Its Cousins)
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    Chapter 28 Should Multilevel Methods for Discontinuous Galerkin Discretizations Use Discontinuous Interpolation Operators?
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    Chapter 29 Domain Decomposition in Shallow Water Modelling of Dutch Lakes for Multiple Applications
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    Chapter 30 A Variational Interpretation of Restricted Additive Schwarz With Impedance Transmission Condition for the Helmholtz Problem
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    Chapter 31 Application of Multilevel BDDC to the Problem of Pressure in Simulations of Incompressible Flow
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    Chapter 32 Predicting the Geometric Location of Critical Edges in Adaptive GDSW Overlapping Domain Decomposition Methods Using Deep Learning
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    Chapter 33 Optimized Coupling Conditions for Discrete Fracture Matrix Models
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    Chapter 34 Efficient Monolithic Solvers for Fluid-Structure Interaction Applied to Flapping Membranes
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    Chapter 35 Adaptive Nonlinear Elimination in Nonlinear FETI-DP Methods
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    Chapter 36 Globalization of Nonlinear FETI–DP Methods
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    Chapter 37 A Multilevel Active-Set Trust-Region (MASTR) Method for Bound Constrained Minimization
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    Chapter 38 A Multigrid Preconditioner for Jacobian-free Newton–Krylov Methods
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    Chapter 39 Overlapping DDFV Schwarz Algorithms on Non-Matching Grids
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    Chapter 40 On the Nonlinear Dirichlet–Neumann Method and Preconditioner for Newton’s Method
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    Chapter 41 A Nonlinear Optimized Schwarz Preconditioner for Elliptic Optimal Control Problems
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    Chapter 42 SParse Approximate Inverse (SPAI) Based Transmission Conditions for Optimized Algebraic Schwarz Methods
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    Chapter 43 A Parareal Architecture for Very Deep Convolutional Neural Networks
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    Chapter 44 Construction of 4D Simplex Space-Time Meshes for Local Bisection Schemes
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    Chapter 45 Coefficient-Robust A Posteriori Error Estimation for H(curl)-elliptic Problems
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    Chapter 46 Convergence of Parareal for a Vibrating String with Viscoelastic Damping
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    Chapter 47 Consistent and Asymptotic-Preserving Finite-Volume Robin Transmission Conditions for Singularly Perturbed Elliptic Equations
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    Chapter 48 Adaptive Schwarz Method for Crouzeix–Raviart Multiscale Problems in 2D
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    Chapter 49 An Overlapping Waveform Relaxation Preconditioner for Economic Optimal Control Problems With State Constraints
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    Chapter 50 Optimized Schwarz Methods With Data-Sparse Transmission Conditions
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    Chapter 51 Space-Time Finite Element Tearing and Interconnecting Domain Decomposition Methods
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    Chapter 52 Localized Reduced Basis Additive Schwarz Methods
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    Chapter 53 Micromechanics Simulations Coupling the deal.II Software Library With a Parallel FETI-DP Solver
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    Chapter 54 A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space
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    Chapter 55 Space-Time Hexahedral Finite Element Methods for Parabolic Evolution Problems
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    Chapter 56 Towards a IETI-DP Solver on Non-Matching Multi-Patch Domains
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    Chapter 57 The Parallel Full Approximation Scheme in Space and Time for a Parabolic Finite Element Problem
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    Chapter 58 A New Coarse Space for a Space-Time Schwarz Waveform Relaxation Method
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    Chapter 59 On Space-Time Finite Element Domain Decomposition Methods for the Heat Equation
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    Chapter 60 IETI-DP for Conforming Multi-Patch Isogeometric Analysis in Three Dimensions
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    Chapter 61 Coupling of Navier–Stokes Equations and Their Hydrostatic Versions and Simulation of Riverbend Flow
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    Chapter 62 On the Links Between Observed and Theoretical Convergence Rates for Schwarz Waveform Relaxation Algorithm for the Time-Dependent Problems
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    Chapter 63 Construction of Grid Operators for Multilevel Solvers: a Neural Network Approach
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    Chapter 64 Coarse Corrections for Schwarz methods for Symmetric and Non-symmetric Problems
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    Chapter 65 A Numerical Algorithm Based on Probing to Find Optimized Transmission Conditions
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    Chapter 66 Additive Schwarz Preconditioners for #x1d46a;0 Interior Penalty Methods for a State Constrained Elliptic Distributed Optimal Control Problem
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    Chapter 67 Space-Time Finite Element Methods for Initial Temperature Reconstruction
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    Chapter 68 Numerical Results for an Unconditionally Stable Space-Time Finite Element Method for the Wave Equation
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    Chapter 69 Décomposition de Domaine et Problème de Helmholtz: Thirty Years After and Still Unique
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    Chapter 70 Space-Time Parallel Methods for Evolutionary Reaction-Diffusion Problems
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    Chapter 71 Parallel Domain Decomposition Solvers for the Time Harmonic Maxwell Equations
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    Chapter 72 Adaptive Finite Element Thin-Plate Spline With Different Data Distributions
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    Chapter 73 A Multirate Accelerated Schwarz Waveform Relaxation Method
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    Chapter 74 A Convergence Analysis of the Parallel Schwarz Solution of the Continuous Closest Point Method
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    Chapter 75 Dual-Primal Preconditioners for Newton–Krylov Solvers for the Cardiac Bidomain Model
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    Chapter 76 Domain Decomposition Algorithms for Physics-Informed Neural Networks
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    Chapter 77 Numerical Study of an Additive Schwarz Preconditioner for a Thin Membrane Diffusion Problem
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    Chapter 78 Additive Schwarz Methods for Convex Optimization – Convergence Theory and Acceleration
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    Chapter 79 Non-local Impedance Operator for Non-overlapping DDM for the Helmholtz Equation
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    Chapter 80 Asynchronous Multi-Subdomain Methods With Overlap for a Class of Parabolic Problems
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    Chapter 81 Toward a New Fully Algebraic Preconditioner for Symmetric Positive Definite Problems
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    Chapter 82 Aitken–Schwarz Heterogeneous Domain Decomposition for EMT-TS Simulation
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    Chapter 83 Parareal Schwarz Waveform Relaxation Method for the Time-Periodic Parabolic Problem
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    Chapter 84 Acceleration of the Convergence of the Asynchronous RAS Method
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Title
Domain Decomposition Methods in Science and Engineering XXVI
Published by
Springer International Publishing, March 2023
DOI 10.1007/978-3-030-95025-5
ISBNs
978-3-03-095024-8, 978-3-03-095025-5
Editors

Brenner, Susanne C., Chung, Eric, Klawonn, Axel, Kwok, Felix, Xu, Jinchao, Zou, Jun

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