<p><span>These are the proceedings of the 26th International Conference on Domain Decomposition Methods in Science and Engineering, which was hosted by the Chinese University of Hong Kong and held online in December 2020.</span></p><p><span>Domain decomposition methods are iterative methods for solv
Domain Decomposition Methods in Science and Engineering XXV
✍ Scribed by Ronald Haynes, Scott MacLachlan, Xiao-Chuan Cai, Laurence Halpern, Hyea Hyun Kim, Axel Klawonn, Olof Widlund
- Publisher
- Springer International Publishing;Springer
- Year
- 2020
- Tongue
- English
- Leaves
- 530
- Series
- Lecture Notes in Computational Science and Engineering 138
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018.
Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems.
The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2018.
✦ Table of Contents
Front Matter ....Pages i-xxvi
Front Matter ....Pages 1-1
Does the Partition of Unity Influence the Convergence of Schwarz Methods? (Martin J. Gander)....Pages 3-15
Adaptive BDDC Based on Local Eigenproblems (Clemens Pechstein)....Pages 16-28
From Domain Decomposition to Homogenization Theory (Daniel Peterseim, Dora Varga, Barbara Verfürth)....Pages 29-40
Robust Model Reduction Discretizations Based on Adaptive BDDC Techniques (Alexandre Madureira, Marcus Sarkis)....Pages 41-52
Analysis of Double Sweep Optimized Schwarz Methods: the Positive Definite Case (Martin J. Gander, Hui Zhang)....Pages 53-64
Front Matter ....Pages 65-65
Dirichlet-Neumann Preconditioning for Stabilised Unfitted Discretization of High Contrast Problems (Blanca Ayuso de Dios, Kyle Dunn, Marcus Sarkis, Simone Scacchi)....Pages 67-74
Virtual Coarse Spaces for Irregular Subdomain Decompositions (Juan G. Calvo)....Pages 75-82
A Local Coarse Space Correction Leading to a Well-Posed Continuous Neumann-Neumann Method in the Presence of Cross Points (Faycal Chaouqui, Martin J. Gander, Kévin Santugini-Repiquet)....Pages 83-91
Happy 25th Anniversary DDM! ... But How Fast Can the Schwarz Method Solve Your Logo? (Gabriele Ciaramella, Martin J. Gander)....Pages 92-99
Additive Schwarz Preconditioners for a State Constrained Elliptic Distributed Optimal Control Problem Discretized by a Partition of Unity Method (Susanne C. Brenner, Christopher B. Davis, Li-yeng Sung)....Pages 100-107
A Parallel Solver for a Preconditioned Space-Time Boundary Element Method for the Heat Equation (Stefan Dohr, Michal Merta, Günther Of, Olaf Steinbach, Jan Zapletal)....Pages 108-116
On Inexact Solvers for the Coarse Problem of BDDC (Clark R. Dohrmann, Kendall H. Pierson, Olof B. Widlund)....Pages 117-124
Simultaneous Approximation Terms for Elastic Wave Equations on Nonuniform Grids (Longfei Gao, David Keyes)....Pages 125-133
Asynchronous One-Level and Two-Level Domain Decomposition Solvers (Christian Glusa, Erik G. Boman, Edmond Chow, Sivasankaran Rajamanickam, Paritosh Ramanan)....Pages 134-142
Comparison of Continuous and Discrete Techniques to Apply Coarse Corrections (Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet)....Pages 143-150
On the Scalability of the Parallel Schwarz Method in One-Dimension (Gabriele Ciaramella, Muhammad Hassan, Benjamin Stamm)....Pages 151-158
Fully Discrete Schwarz Waveform Relaxation on Two Bounded Overlapping Subdomains (Ronald D. Haynes, Khaled Mohammad)....Pages 159-166
Local Spectra of Adaptive Domain Decomposition Methods (Alexander Heinlein, Axel Klawonn, Martin J. Kühn)....Pages 167-175
FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos (Alexander Heinlein, Axel Klawonn, Sivasankaran Rajamanickam, Oliver Rheinbach)....Pages 176-184
A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions (Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, Friederike Röver)....Pages 185-192
Non-geometric Convergence of the Classical Alternating Schwarz Method (Gabriele Ciaramella, Richard M. Höfer)....Pages 193-201
Global–in–Time Domain Decomposition for a Nonlinear Diffusion Problem (Elyes Ahmed, Caroline Japhet, Michel Kern)....Pages 202-209
A Two-level Overlapping Schwarz Method Using Energy Minimizing Multiscale Finite Element Functions (Hyea Hyun Kim, Eric T. Chung, Junxian Wang)....Pages 210-217
Machine Learning in Adaptive FETI-DP – A Comparison of Smart and Random Training Data (Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber)....Pages 218-226
Nonoverlapping Additive Schwarz Method for hp-DGFEM with Higher-order Penalty Terms (Piotr Krzyzanowski, Marcus Sarkis)....Pages 227-234
A Closer Look at Local Eigenvalue Solvers for Adaptive FETI-DP and BDDC (Axel Klawonn, Martin J. Kühn, Oliver Rheinbach)....Pages 235-242
A New Parareal Algorithm for Time-Periodic Problems with Discontinuous Inputs (Martin J. Gander, Iryna Kulchytska-Ruchka, Sebastian Schöps)....Pages 243-250
Asymptotic Analysis for Different Partitionings of RLC Transmission Lines (Martin J. Gander, Pratik M. Kumbhar, Albert E. Ruehli)....Pages 251-259
Optimized Schwarz-based Nonlinear Preconditioning for Elliptic PDEs (Yaguang Gu, Felix Kwok)....Pages 260-267
Coarse Spaces for Nonlinear Schwarz Methods on Unstructured Grids (Alexander Heinlein, Martin Lanser)....Pages 268-276
A Reynolds Number Dependent Convergence Estimate for the Parareal Algorithm (Martin J. Gander, Thibaut Lunet)....Pages 277-284
The Domain Decomposition Method of Bank and Jimack as an Optimized Schwarz Method (Gabriele Ciaramella, Martin J. Gander, Parisa Mamooler)....Pages 285-293
Adaptive Schwarz Method for DG Multiscale Problems in 2D (Leszek Marcinkowski, Talal Rahman)....Pages 294-301
Domain Decomposition Coupling of FV4 and DDFV for Numerical Weather Prediction (Oliver Fuhrer, Martin J. Gander, Sandie Moody)....Pages 302-309
A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators (Xavier Claeys, Francis Collino, Patrick Joly, Emile Parolin)....Pages 310-317
Optimized Schwarz Methods for Linear Elasticity and Overlumping (Kévin Santugini-Repiquet)....Pages 318-325
Coupling of Navier-Stokes Equations and Their Hydrostatic Versions for Ocean Flows: A Discussion on Algorithm and Implementation (Hansong Tang, Yingjie Liu)....Pages 326-333
BDDC for a Saddle Point Problem with an HDG Discretization (Xuemin Tu, Bin Wang)....Pages 334-341
A Balancing Domain Decomposition by Constraints Preconditioner for a C0 Interior Penalty Method (Susanne C. Brenner, Eun-Hee Park, Li-Yeng Sung, Kening Wang)....Pages 342-349
Preconditioners for Isogeometric Analysis and Almost Incompressible Elasticity (Olof B. Widlund, Luca F. Pavarino, Simone Scacchi, Stefano Zampini)....Pages 350-358
Dispersion Correction for Helmholtz in 1D with Piecewise Constant Wavenumber (Pierre-Henri Cocquet, Martin J. Gander, Xueshuang Xiang)....Pages 359-366
BDDC Preconditioners for a Space-time Finite Element Discretization of Parabolic Problems (Ulrich Langer, Huidong Yang)....Pages 367-374
Non-overlapping Spectral Additive Schwarz Methods (Yi Yu, Maksymilian Dryja, Marcus Sarkis)....Pages 375-382
Auxiliary Space Preconditioners for Linear Virtual Element Method (Yunrong Zhu)....Pages 383-390
Front Matter ....Pages 391-391
Multi-step Variant of the Parareal Algorithm (Katia Ait-Ameur, Yvon Maday, Marc Tajchman)....Pages 393-400
A Domain Decomposition Method for a Geological Crack (O. Bodart, A. Chorfi, J. Koko)....Pages 401-408
Fictitious Domain Method for an Inverse Problem in Volcanoes (Oliver Bodart, Valérie Cayol, Farshid Dabaghi, Jonas Koko)....Pages 409-416
A Schwarz Method for the Magnetotelluric Approximation of Maxwell’s Equations (Fabrizio Donzelli, Martin J. Gander, Ronald D. Haynes)....Pages 417-424
Can Classical Schwarz Methods for Time-harmonic Elastic Waves Converge? (Romain Brunet, Victorita Dolean, Martin J. Gander)....Pages 425-432
Asymptotic Analysis for the Coupling Between Subdomains in Discrete Fracture Matrix Models (Martin J. Gander, Julian Hennicker, Roland Masson)....Pages 433-440
A Nonlinear Elimination Preconditioned Inexact Newton Algorithm for Steady State Incompressible Flow Problems on 3D Unstructured Meshes (Li Luo, Rongliang Chen, Xiao-Chuan Cai, David E. Keyes)....Pages 441-449
A Neumann-Neumann Method for Anisotropic TDNNS Finite Elements in 3D Linear Elasticity (Lukas Maly, Dalibor Lukas)....Pages 450-457
Domain Decomposition for the Closest Point Method (Ian May, Ronald D. Haynes, Steven J. Ruuth)....Pages 458-465
Towards a Time Adaptive Neumann-Neumann Waveform Relaxation Method for Thermal Fluid-Structure Interaction (Azahar Monge, Philipp Birken)....Pages 466-473
Localization of Nonlinearities and Recycling in Dual Domain Decomposition (Andreas S. Seibold, Michael C. Leistner, Daniel J. Rixen)....Pages 474-482
New Coarse Corrections for Optimized Restricted Additive Schwarz Using PETSc (Martin J. Gander, Serge Van Criekingen)....Pages 483-490
On the Derivation of Optimized Transmission Conditions for the Stokes-Darcy Coupling (Martin J. Gander, Tommaso Vanzan)....Pages 491-498
Back Matter ....Pages 499-508
✦ Subjects
Mathematics; Computational Mathematics and Numerical Analysis; Partial Differential Equations; Computer Engineering; Mathematics of Computing; Computer-Aided Engineering (CAD, CAE) and Design
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