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Domain Decomposition Methods in Science and Engineering XXIII

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Chang-Ock Lee

    1. Dept. of Mathematical Sciences, KAIST, Daejeon, Korea (Republic of)

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  2. Xiao-Chuan Cai

    1. Dept. of Computer Science, University of Colorado, Boulder, USA

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  3. David E. Keyes

    1. Applied Math & Computational Science, KAUST, Thuwal, Saudi Arabia

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  4. Hyea Hyun Kim

    1. Dept. of Applied Mathematics, Kyung Hee University, Yongin, Korea (Republic of)

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  5. Axel Klawonn

    1. Mathematisches Institut, Universität zu Köln, Köln, Germany

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  6. Eun-Jae Park

    1. Dept. of Computational Science & Engineering, Yonsei University, Seoul, Korea (Republic of)

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  7. Olof B. Widlund

    1. Courant Institute of Mathematical Sciences, New York University, New York, USA

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  • The state of the art in the domain decomposition methods in science and engineering
  • Contains many algorithms for solving boundary value problems effectively
  • Contains many algorithms to serve a basis for distributed, parallel computing

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 116)

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Table of contents (42 papers)

  1. Front Matter

    Pages i-xviii
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  2. Plenary Talks (PT)

    1. Front Matter

      Pages 1-1
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    2. Global Convergence Rates of Some Multilevel Methods for Variational and Quasi-Variational Inequalities

      • Lori Badea
      Pages 3-16

    3. Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners

      • L. Beirão da Veiga, L. F. Pavarino, S. Scacchi, O. B. Widlund, S. Zampini
      Pages 17-29

    4. Development of Nonlinear Structural Analysis Using Co-rotational Finite Elements with Improved Domain Decomposition Method

      • Haeseong Cho, Jun Young Kwak, Hyunshig Joo, SangJoon Shin
      Pages 31-42

    5. An Adaptive Coarse Space for P.L. Lions Algorithm and Optimized Schwarz Methods

      • Ryadh Haferssas, Pierre Jolivet, Frédéric Nataf
      Pages 43-53

    6. On the Time-Domain Decomposition of Parabolic Optimal Control Problems

      • Felix Kwok
      Pages 55-67

    7. Parallel Solver for \(\boldsymbol{H}\)(div) Problems Using Hybridization and AMG

      • Chak S. Lee, Panayot S. Vassilevski
      Pages 69-80

    8. Preconditioning for Nonsymmetry and Time-Dependence

      • Eleanor McDonald, Sean Hon, Jennifer Pestana, Andy Wathen
      Pages 81-91

    9. Algebraic Adaptive Multipreconditioning Applied to Restricted Additive Schwarz

      • Nicole Spillane
      Pages 93-104

  3. Talks in Minisymposia (MT)

    1. Front Matter

      Pages 105-105
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    2. Closed Form Inverse of Local Multi-Trace Operators

      • Alan Ayala, Xavier Claeys, Victorita Dolean, Martin J. Gander
      Pages 107-115

    3. Schwarz Preconditioning for High Order Edge Element Discretizations of the Time-Harmonic Maxwell’s Equations

      • Marcella Bonazzoli, Victorita Dolean, Richard Pasquetti, Francesca Rapetti
      Pages 117-124

    4. On Nilpotent Subdomain Iterations

      • Faycal Chaouqui, Martin J. Gander, Kévin Santugini-Repiquet
      Pages 125-133

    5. A Direct Elliptic Solver Based on Hierarchically Low-Rank Schur Complements

      • Gustavo Chávez, George Turkiyyah, David E. Keyes
      Pages 135-143

    6. Optimized Schwarz Methods for Heterogeneous Helmholtz and Maxwell’s Equations

      • Victorita Dolean, Martin J. Gander, Erwin Veneros, Hui Zhang
      Pages 145-152

    7. On the Origins of Linear and Non-linear Preconditioning

      • Martin J. Gander
      Pages 153-161

    8. Time Parallelization for Nonlinear Problems Based on Diagonalization

      • Martin J. Gander, Laurence Halpern
      Pages 163-170

    9. The Effect of Irregular Interfaces on the BDDC Method for the Navier-Stokes Equations

      • Martin Hanek, Jakub Šístek, Pavel Burda
      Pages 171-178

    10. BDDC and FETI-DP Methods with Enriched Coarse Spaces for Elliptic Problems with Oscillatory and High Contrast Coefficients

      • Hyea Hyun Kim, Eric T. Chung, Junxian Wang
      Pages 179-186
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Keywords

About this book

This book is a collection of papers presented at the 23rd International Conference on Domain Decomposition Methods in Science and Engineering, held on Jeju Island, Korea on July 6-10, 2015. Domain decomposition methods solve boundary value problems by splitting them into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. Domain decomposition methods have considerable potential for a parallelization of the finite element methods, and serve a basis for distributed, parallel computations.

Editors and Affiliations

  • Dept. of Mathematical Sciences, KAIST, Daejeon, Korea (Republic of)

    Chang-Ock Lee

  • Dept. of Computer Science, University of Colorado, Boulder, USA

    Xiao-Chuan Cai

  • Applied Math & Computational Science, KAUST, Thuwal, Saudi Arabia

    David E. Keyes

  • Dept. of Applied Mathematics, Kyung Hee University, Yongin, Korea (Republic of)

    Hyea Hyun Kim

  • Mathematisches Institut, Universität zu Köln, Köln, Germany

    Axel Klawonn

  • Dept. of Computational Science & Engineering, Yonsei University, Seoul, Korea (Republic of)

    Eun-Jae Park

  • Courant Institute of Mathematical Sciences, New York University, New York, USA

    Olof B. Widlund

Bibliographic Information

  • Book Title: Domain Decomposition Methods in Science and Engineering XXIII

  • Editors: Chang-Ock Lee, Xiao-Chuan Cai, David E. Keyes, Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Olof B. Widlund

  • Series Title: Lecture Notes in Computational Science and Engineering

  • DOI: https://doi.org/10.1007/978-3-319-52389-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-52388-0Published: 18 March 2017

  • Softcover ISBN: 978-3-319-84894-5Published: 18 July 2018

  • eBook ISBN: 978-3-319-52389-7Published: 15 March 2017

  • Series ISSN: 1439-7358

  • Series E-ISSN: 2197-7100

  • Edition Number: 1

  • Number of Pages: XVIII, 415

  • Number of Illustrations: 40 b/w illustrations, 83 illustrations in colour

  • Topics: Computational Science and Engineering

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