Domain Decomposition Methods in Science and Engineering XXIV

Front Matter ....Pages i-xxii
Front Matter ....Pages 1-1
 Robust Block Preconditioners for Biot’s Model  (James H. Adler, Francisco J. Gaspar, Xiaozhe Hu, Carmen Rodrigo, Ludmil T. Zikatanov)....Pages 3-16
 An Additive Schwarz Analysis for Multiplicative Schwarz Methods: General Case  (Susanne C. Brenner)....Pages 17-30
 Scalable Cardiac Electro-Mechanical Solvers and Reentry Dynamics  (P. Colli Franzone, L. F. Pavarino, S. Scacchi, Stefano Zampini)....Pages 31-43
 On Overlapping Domain Decomposition Methods for High-Contrast Multiscale Problems  (Juan Galvis, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung)....Pages 45-57
 INTERNODES for Heterogeneous Couplings  (Paola Gervasio, Alfio Quarteroni)....Pages 59-71
 Domain Decomposition Approaches for PDE Based Mesh Generation  (Ronald D. Haynes)....Pages 73-86
 Modeling, Structure and Discretization of Hierarchical Mixed-Dimensional Partial Differential Equations  (J. M. Nordbotten, W. M. Boon)....Pages 87-101
 Balancing Domain Decomposition by Constraints Algorithms for Curl-Conforming Spaces of Arbitrary Order  (Stefano Zampini, Panayot Vassilevski, Veselin Dobrev, Tzanio Kolev)....Pages 103-116
Front Matter ....Pages 117-117
 Restricted Additive Schwarz Method for Some Inequalities Perturbed by a Lipschitz Operator  (Lori Badea)....Pages 119-127
 Does SHEM for Additive Schwarz Work Better than Predicted by Its Condition Number Estimate?  (Petter E. Bjørstad, Martin J. Gander, Atle Loneland, Talal Rahman)....Pages 129-137
 Two-Level Preconditioners for the Helmholtz Equation  (Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre-Henri Tournier)....Pages 139-147
 A Two-Level Domain-Decomposition Preconditioner for the Time-Harmonic Maxwell’s Equations  (Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre-Henri Tournier)....Pages 149-157
 A Coarse Space to Remove the Logarithmic Dependency in Neumann–Neumann Methods  (Faycal Chaouqui, Martin J. Gander, Kévin Santugini-Repiquet)....Pages 159-167
 A Crank-Nicholson Domain Decomposition Method for Optimal Control Problem of Parabolic Partial Differential Equation  (Jixin Chen, Danping Yang)....Pages 169-176
 Partition of Unity Methods for Heterogeneous Domain Decomposition  (Gabriele Ciaramella, Martin J. Gander)....Pages 177-186
 Integral Equation Based Optimized Schwarz Method for Electromagnetics  (Xavier Claeys, Bertrand Thierry, Francis Collino)....Pages 187-194
 Analysis of the Shifted Helmholtz Expansion Preconditioner for the Helmholtz Equation  (Pierre-Henri Cocquet, Martin J. Gander)....Pages 195-203
 A Finite Difference Method with Optimized Dispersion Correction for the Helmholtz Equation  (Pierre-Henri Cocquet, Martin J. Gander, Xueshuang Xiang)....Pages 205-213
 Optimized Schwarz Methods for Elliptic Optimal Control Problems  (Bérangère Delourme, Laurence Halpern, Binh Thanh Nguyen)....Pages 215-222
 Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes  (Blanca Ayuso de Dios, Ralf Hiptmair, Cecilia Pagliantini)....Pages 223-231
 Is Minimising the Convergence Rate a Good Choice for Efficient Optimized Schwarz Preconditioning in Heterogeneous Coupling? The Stokes-Darcy Case  (Marco Discacciati, Luca Gerardo-Giorda)....Pages 233-241
 Preconditioned Space-Time Boundary Element Methods for the One-Dimensional Heat Equation  (Stefan Dohr, Olaf Steinbach)....Pages 243-251
 On High-Order Approximation and Stability with Conservative Properties  (Juan Galvis, Eduardo Abreu, Ciro Díaz, Marcus Sarkis)....Pages 253-260
 A Nonlinear ParaExp Algorithm  (Martin J. Gander, Stefan Güttel, Madalina Petcu)....Pages 261-270
 On Optimal Coarse Spaces for Domain Decomposition and Their Approximation  (Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet)....Pages 271-280
 Analysis of Overlap in Waveform Relaxation Methods for RC Circuits  (Martin J. Gander, Pratik M. Kumbhar, Albert E. Ruehli)....Pages 281-289
 Convergence of Substructuring Methods for Elliptic Optimal Control Problems  (Martin J. Gander, Felix Kwok, Bankim C. Mandal)....Pages 291-300
 Complete, Optimal and Optimized Coarse Spaces for Additive Schwarz  (Martin J. Gander, Bo Song)....Pages 301-309
 Heterogeneous Optimized Schwarz Methods for Coupling Helmholtz and Laplace Equations  (Martin J. Gander, Tommaso Vanzan)....Pages 311-320
 Restrictions on the Use of Sweeping Type Preconditioners for Helmholtz Problems  (Martin J. Gander, Hui Zhang)....Pages 321-332
 Convergence of Asynchronous Optimized Schwarz Methods in the Plane  (José C. Garay, Frédéric Magoulès, Daniel B. Szyld)....Pages 333-341
 INTERNODES for Elliptic Problems  (Paola Gervasio, Alfio Quarteroni)....Pages 343-352
 A Nonlinear Elimination Preconditioned Newton Method with Applications in Arterial Wall Simulation  (Shihua Gong, Xiao-Chuan Cai)....Pages 353-361
 Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST  (Sebastian Götschel, Michael L. Minion)....Pages 363-371
 An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz Methods in Two Dimensions  (Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach)....Pages 373-382
 Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space  (Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, Olof B. Widlund)....Pages 383-392
 Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods  (Christoph Hofer, Ulrich Langer, Stefan Takacs)....Pages 393-403
 Coupling Parareal and Dirichlet-Neumann/Neumann-Neumann Waveform Relaxation Methods for the Heat Equation  (Yao-Lin Jiang, Bo Song)....Pages 405-413
 Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP  (Axel Klawonn, Martin Kühn, Oliver Rheinbach)....Pages 415-423
 Using Algebraic Multigrid in Inexact BDDC Domain Decomposition Methods  (Axel Klawonn, Martin Lanser, Oliver Rheinbach)....Pages 425-433
 On the Accuracy of the Inner Newton Iteration in Nonlinear Domain Decomposition  (Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran)....Pages 435-443
 Adaptive BDDC and FETI-DP Methods with Change of Basis Formulation  (Hyea Hyun Kim, Eric T. Chung, Junxian Wang)....Pages 445-453
 Nonoverlapping Three Grid Additive Schwarz for hp-DGFEM with Discontinuous Coefficients  (Piotr Krzyżanowski)....Pages 455-463
 Adaptive Deluxe BDDC Mixed and Hybrid Primal Discretizations  (Alexandre Madureira, Marcus Sarkis)....Pages 465-473
 Additive Schwarz with Vertex Based Adaptive Coarse Space for Multiscale Problems in 3D  (Leszek Marcinkowski, Talal Rahman)....Pages 475-482
 An Immersed Boundary Method Based on the L2-Projection Approach  (Maria Giuseppina Chiara Nestola, Barna Becsek, Hadi Zolfaghari, Patrick Zulian, Dominik Obrist, Rolf Krause)....Pages 483-491
 Combining Space-Time Multigrid Techniques with Multilevel Monte Carlo Methods for SDEs  (Martin Neumüller, Andreas Thalhammer)....Pages 493-501
 On Block Triangular Preconditioners for the Interior Point Solution of PDE-Constrained Optimization Problems  (John W. Pearson, Jacek Gondzio)....Pages 503-510
 Robust Multigrid Methods for Isogeometric Discretizations of the Stokes Equations  (Stefan Takacs)....Pages 511-520
Front Matter ....Pages 521-521
 A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study  (Susanne C. Brenner, Duk-Soon Oh)....Pages 523-531
 Optimized Schwarz Method for Poisson’s Equation in Rectangular Domains  (José C. Garay, Frédéric Magoulès, Daniel B. Szyld)....Pages 533-541
 The HTFETI Method Variant Gluing Cluster Subdomains by Kernel Matrices Representing the Rigid Body Motions  (Alexandros Markopoulos, Lubomír Říha, Tomáš Brzobohatý, Ondřej Meca, Radek Kučera, Tomáš Kozubek)....Pages 543-551
 Small Coarse Spaces for Overlapping Schwarz Algorithms with Irregular Subdomains  (Olof B. Widlund, Clark R. Dohrmann)....Pages 553-560
Back Matter ....Pages 561-570