Domain Decomposition Methods in Science and Engineering XXII

Front Matter....Pages i-xx
Front Matter....Pages 1-1
Multigrid Algorithms for High Order Discontinuous Galerkin Methods....Pages 3-13
BDDC Deluxe for Isogeometric Analysis....Pages 15-28
Auxiliary Space Multigrid Method for Elliptic Problems with Highly Varying Coefficients....Pages 29-40
A Nonlinear FETI-DP Method with an Inexact Coarse Problem....Pages 41-52
Substructuring Methods in Nonlinear Function Spaces....Pages 53-64
Robin-Neumann Schemes for Incompressible Fluid-Structure Interaction....Pages 65-76
Optimal Finite Element Methods for Interface Problems....Pages 77-91
BDDC Deluxe Domain Decomposition....Pages 93-103
Front Matter....Pages 105-105
A Stochastic Domain Decomposition Method for Time Dependent Mesh Generation....Pages 107-115
Some Geometric and Algebraic Aspects of Domain Decomposition Methods....Pages 117-125
Isogeometric Overlapping Additive Schwarz Solvers for the Bidomain System....Pages 127-135
On the Minimal Shift in the Shifted Laplacian Preconditioner for Multigrid to Work....Pages 137-145
Multitrace Formulations and Dirichlet-Neumann Algorithms....Pages 147-155
A Deluxe FETI-DP Method for Full DG Discretization of Elliptic Problems....Pages 157-165
Additive Schwarz Methods for DG Discretization of Elliptic Problems with Discontinuous Coefficient....Pages 167-175
Algebraic Multigrid for Discontinuous Galerkin Methods Using Local Transformations....Pages 177-185
Concepts for Flexible Parallel Multi-domain Simulations....Pages 187-195
Domain Decomposition and Parallel Direct Solvers as an Adaptive Multiscale Strategy for Damage Simulation in Quasi-Brittle Materials....Pages 197-205
Schwarz Methods for the Time-Parallel Solution of Parabolic Control Problems....Pages 207-216
On the Relation Between Optimized Schwarz Methods and Source Transfer....Pages 217-225
Front Matter....Pages 105-105
Domain Decomposition in Shallow Lake Modelling for Operational Forecasting of Flooding....Pages 227-238
Parallel Double Sweep Preconditioner for the Optimized Schwarz Algorithm Applied to High Frequency Helmholtz and Maxwell Equations....Pages 239-247
A Multiscale Domain Decomposition Method for Flow and Transport Problems....Pages 249-258
An Optimized Schwarz Algorithm for a Discontinuous Galerkin Method....Pages 259-266
On Full Multigrid Schemes for Isogeometric Analysis....Pages 267-274
Simulation of Cavity Flows by an Implicit Domain Decomposition Algorithm for the Lattice Boltzmann Equations....Pages 275-283
A Newton-Krylov-FETI-DP Method with an Adaptive Coarse Space Applied to Elastoplasticity....Pages 285-292
Adaptive Coarse Spaces for BDDC with a Transformation of Basis....Pages 293-300
A Massive Parallel Fast Marching Method....Pages 301-309
Discontinuous Galerkin Isogeometric Analysis of Elliptic PDEs on Surfaces....Pages 311-318
A FETI-DP Algorithm for Saddle Point Problems in Three Dimensions....Pages 319-326
Error of an eFDDM: What Do Matched Asymptotic Expansions Teach Us?....Pages 327-334
A Comparison of Additive Schwarz Preconditioners for Parallel Adaptive Finite Elements....Pages 335-343
A BDDC Preconditioner for Problems Posed in H(div) with Deluxe Scaling....Pages 345-354
Pipeline Schwarz Waveform Relaxation....Pages 355-361
Parareal for Diffusion Problems with Space- and Time-Dependent Coefficients....Pages 363-370
A Discontinuous Coarse Space (DCS) Algorithm for Cell Centered Finite Volume Based Domain Decomposition Methods: The DCS-RJMin Algorithm....Pages 371-378
Inexact Spectral Deferred Corrections....Pages 379-387
Schwarz Preconditioner for the Stochastic Finite Element Method....Pages 389-396
Front Matter....Pages 397-405
Domain Decomposition for a Hybrid Fully 3D Fluid Dynamics and Geophysical Fluid Dynamics Modeling System: A Numerical Experiment on Transient Sill Flow....Pages 105-105
A Domain Decomposition Based Jacobi-Davidson Algorithm for Quantum Dot Simulation....Pages 407-414
Front Matter....Pages 415-423
Globally Convergent Multigrid Method for Variational Inequalities with a Nonlinear Term....Pages 425-425
Partially Updated Restricted Additive Schwarz Preconditioner....Pages 427-435
Coupling Finite and Boundary Element Methods Using a Localized Adaptive Radiation Condition for the Helmholtz’s Equation....Pages 437-444
Simulating Flows Passing a Wind Turbine with a Fully Implicit Domain Decomposition Method....Pages 445-452
Overlapping Domain Decomposition Applied to the Navier–Stokes Equations....Pages 453-460
Schwarz Methods for Second Order Maxwell Equations in 3D with Coefficient Jumps....Pages 461-470
DDFV Ventcell Schwarz Algorithms....Pages 471-479
A Direct Solver for Time Parallelization....Pages 481-489
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation for the Wave Equation....Pages 491-499
Binned Multilevel Monte Carlo for Bayesian Inverse Problems with Large Data....Pages 501-509
Optimized Schwarz Method for the Fluid-Structure Interaction with Cylindrical Interfaces....Pages 511-519
Ventcell Conditions with Mixed Formulations for Flow in Porous Media....Pages 521-529
Mortar Methods with Optimized Transmission Conditions for Advection-Diffusion Problems....Pages 531-540
Augmented Lagrangian Domain Decomposition Method for Bonded Structures....Pages 541-549
Hierarchical Preconditioners for High-Order FEM....Pages 551-558
A Domain Decomposition Method Based on Augmented Lagrangian with an Optimized Penalty Parameter....Pages 559-566
Dual Schur Method in Time for Nonlinear ODE....Pages 567-575
Additive Average Schwarz Method for a Crouzeix-Raviart Finite Volume Element Discretization of Elliptic Problems....Pages 577-585
Front Matter....Pages 587-594
Schwarz Methods for a Crouzeix-Raviart Finite Volume Discretization of Elliptic Problems....Pages 425-425
Preconditioning of the Reduced System Associated with the Restricted Additive Schwarz Method....Pages 595-602
Decoupled Schemes for Free Flow and Porous Medium Systems....Pages 603-611
Schwarz Waveform Relaxation for a Class of Non-dissipative Problems....Pages 613-621
Optimized Schwarz Method with Two-Sided Transmission Conditions in an Unsymmetric Domain Decomposition....Pages 623-630
A Domain Decomposition Approach in the Electrocardiography Inverse Problem....Pages 631-639
Back Matter....Pages 641-647
....Pages 649-656