Domain Decomposition Methods in Science and Engineering XXIV (eBook)

Petter E. Bjørstad, Susanne C. Brenner, Lawrence Halpern, Hyea Hyun Kim, Ralf Kornhuber, Talal Rahman, Olof B. Widlund (Herausgeber)

eBook Download: PDF

2019 | 1st ed. 2018
XXII, 570 Seiten
Springer International Publishing (Verlag)
978-3-319-93873-8 (ISBN)

Infos

These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. 

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 2017.

Inhalt

Part I Plenary Talks (PT): Robust Block Preconditioners for Biot’s Model: James H. Adler, Francisco J. Gaspar, Xiaozhe Hu, Carmen Rodrigo, Ludmil T. Zikatanov.- An Additive Schwarz Analysis for Multiplicative Schwarz Methods: General Case: Susanne C. Brenner.- Scalable Cardiac Electro-Mechanical Solvers and Reentry Dynamics: P. Colli Franzone, L. F. Pavarino, S. Scacchi, S. Zampini.- On Overlapping Domain Decomposition Methods for High-Contrast Multiscale Problems: Juan Galvis, Eric Chung, Yalchin Efendiev, Wing Tat Leung.- INTERNODES for Heterogeneous Couplings: Paola Gervasio, Alfio Quarteroni.- Domain Decomposition Approaches for PDE Based Mesh Generation: Ronald D. Haynesl-. Modeling, Structure and Discretization of Hierarchical Mixeddimensional Partial Differential Equations: J. M. Nordbotten, W. M. Boon.- Balancing Domain Decomposition by Constraints Algorithms for Curl-Conforming Spaces of Arbitrary Order: Stefano Zampini, Panayot Vassilevski, Veselin Dobrev, Tzanio Kolev.- Part II Talks in Minisymposia (MT): Restricted Additive Schwarz Method for Some Inequalities Perturbed by a Lipschitz Operator: Lori Badea.- Does SHEM for Additive Schwarz Work Better than Predicted by its Condition Number Estimate ? Petter E. Bjørstad, Martin J. Gander, Atle Loneland, Talal Rahman.- Two-Level Preconditioners for the Helmholtz Equation: Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham , Euan A. Spence, Pierre-Henri Tournier.- 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.- A Coarse Space to Remove the Logarithmic Dependancy in Neumann-Neumann Methods: Faycal Chaouqui, Martin J.Gander, Kévin Santugini-Repiquet.- A Crank-Nicholson Domain Decomposition Method for Optimal Control Problem of Parabolic Partial Differential Equation: Jixin Chen, Danping Yang.- Partition of Unity Methods for Heterogeneous Domain Decomposition: Gabriele Ciaramella, Martin J. Gander.- Integral Equation Based Optimized Schwarz Method for Electromagnetics: Xavier Claeys, Bertrand Thierry, Francis Collino.- Analysis of the Shifted Helmholtz Expansion Preconditioner for the Helmholtz Equation: Pierre-Henri Cocquet, Martin J. Gander.- A Finite Difference Method with Optimized Dispersion Correction for the Helmholtz Equation: Pierre-Henri Cocquet, Martin J. Gander, Xueshuang Xiang.- Optimized Schwarz Methods for Elliptic Optimal Control Problems: Bérangère Delourme, Laurence Halpern, Binh Thanh Nguyen.- Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes: B. Ayuso de Dios, R. Hiptmair, C. Pagliantini.- 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.- Preconditioned Space-Time Boundary Element Methods for the One-Dimensional Heat Equation: Stefan Dohr, Olaf Steinbach.- On High-Order Approximation and Stability with Conservative Properties: Juan Galvis, Eduardo Abreu, Ciro Díaz, Marcus Sarkis.- A Nonlinear ParaExp Algorithm: Martin J. Gander, Stefan Güttel, Madalina Petcu.- On Optimal Coarse Spaces for Domain Decomposition and Their Approximation: Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet.- Analysis of Overlap in Waveform Relaxation Methods for RC Circuits: Martin J. Gander, Pratik M. Kumbhar, Albert E. Ruehli.- Convergence of Substructuring Methods for Elliptic Optimal Control Problems: Martin J. Gander, Felix Kwok, Bankim C. Mandal.- Complete, Optimal and Optimized Coarse Spaces for Additive Schwarz: Martin J. Gander, Bo Song.- Heterogeneous Optimized Schwarz Methods for Coupling Helmholtz and Laplace Equations: Martin J. Gander, Tommaso Vanzan.- Restrictions on the Use of Sweeping Type Preconditioners for Helmholtz Problems: Martin J. Gander, Hui Zhang.- Convergence of Asynchronous Optimized Schwarz Methods in the Plane: José C. Garay, Frédéric Magoulès, Daniel B. Szyld.- INTERNODES for Elliptic Problems: Paola Gervasio, Alfio Quarteroni.- A Nonlinear Elimination Preconditioned Newton Method with Applications in Arterial Wall Simulation: Shihua Gong, Xiao-Chuan Cai.- Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST: Sebastian Götschel, Michael L. Minion.- An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz.- Methods in Two Dimensions: Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach.- Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space: Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, Olof Widlund.- Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods: Christoph Hofer, Ulrich Langer, Stefan Takacs.- Coupling Parareal and Dirichlet-Neumann/Neumann-Neumann Waveform Relaxation Methods for the Heat Equation: Yao-Lin Jiang, Bo Song.- Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP: Axel Klawonn, Martin Kühn, Oliver Rheinbach.- Using Algebraic Multigrid in Inexact BDDC Domain Decomposition Methods: Axel Klawonn, Martin Lanser, Oliver Rheinbach.- On the Accuracy of the Inner Newton Iteration in Nonlinear Domain Decomposition: Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran.- Adaptive BDDC and FETI-DP Methods with Change of Basis Formulation: Hyea Hyun Kim, Eric T. Chung, Junxian Wang.- Nonoverlapping Three Grid Additive Schwarz for hp-DGFEM with Discontinuous Coefficients: Piotr Krzyżanowski.- Adaptive Deluxe BDDC Mixed and Hybrid Primal Discretizations: Alexandre Madureira, Marcus Sarkis.- Additive Schwarz with Vertex Based Adaptive Coarse Space for Multiscale Problems in 3D: Leszek Marcinkowski, Talal Rahman.- An Immersed Boundary Method Based on the L2-Projection Approach: M.G.C. Nestola, B. Becsek, H. Zolfaghari, P. Zulian, D. Obrist, R. Krause.- Combining Space-Time Multigrid Techniques with Multilevel Monte Carlo Methods for SDEs: Martin Neumüller, Andreas Thalhammer.- On Block Triangular Preconditioners for the Interior Point Solution of PDE-Constrained Optimization Problems: John W. Pearson, Jacek Gondzio.- Robust Multigrid Methods for Isogeometric Discretizations of the Stokes Equations: Stefan Takacs.- Part III Contributed Talks and Posters (CT): A Smoother Based on Nonoverlapping Domain Decomposition Methods for H(div) Problems: A Numerical Study: Susanne C. Brenner, Duk-Soon Oh.- Optimized Schwarz Method for Poisson’s Equation in Rectangular Domains: José C. Garay, Frédéric Magoulès, Daniel B. Szyld.- 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.- Small Coarse Spaces for Overlapping Schwarz Algorithms with Irregular Subdomains: Olof B. Widlund, Clark R. Dohrmann.

Produkt-Details

• Erscheint lt. Verlag: 5.1.2019
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Zusatzinfo: XXII, 570 p. 129 illus., 110 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Informatik ► Weitere Themen ► CAD-Programme
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Schlagworte: domain decomposition methods • Finite Element Method • iterative methods • Large linear systems of equations • numerical methods for PDEs • Parallel Computing • Partial differential equations
• ISBN-10: 3-319-93873-8 / 3319938738
• ISBN-13: 978-3-319-93873-8 / 9783319938738