Domain Decomposition Methods in Science and Engineering XIX

1. Front Matter

   Pages i-xxiv

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2. Plenary Presentations

   1. Front Matter

      Pages 1-1

      PDF

   2. Domain Decomposition and hp-Adaptive Finite Elements

      • Randolph E. Bank*, Hieu Nguyen†

      Pages 3-13

   3. Domain Decomposition Methods for Electromagnetic Wave Propagation Problems in Heterogeneous Media and Complex Domains

      • Victorita Dolean, Mohamed El Bouajaji, Martin J. Gander, Stéphane Lanteri, Ronan Perrussel

      Pages 15-26

   4. N–N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients

      • Maksymilian Dryja*, Juan Galvis, Marcus Sarkis

      Pages 27-38

   5. On Adaptive-Multilevel BDDC

      • Bedřich Sousedík*, Jan Mandel†

      Pages 39-50

   6. Interpolation Based Local Postprocessing for Adaptive Finite Element Approximations in Electronic Structure Calculations

      • Jun Fang, Xingyu Gao, Xingao Gong, Aihui Zhou

      Pages 51-61

   7. A New a Posteriori Error Estimate for Adaptive Finite Element Methods

      • Yunqing Huang, Huayi Wei, Wei Yang, Nianyu Yi

      Pages 63-74

   8. Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries

      • Laurence Halpern, Caroline Japhet*, Jérémie Szeftel

      Pages 75-86

   9. Convergence Behaviour of Dirichlet–Neumann and Robin Methods for a Nonlinear Transmission Problem

      • Heiko Berninger, Ralf Kornhuber, Oliver Sander*

      Pages 87-98

3. Minisymposia

   1. Front Matter

      Pages 99-99

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   2. Optimal Interface Conditions for an Arbitrary Decomposition into Subdomains

      • Martin J. Gander, Felix Kwok

      Pages 101-108

   3. Optimized Schwarz Methods for Domains with an Arbitrary Interface

      • Shiu Hong Lui

      Pages 109-116

   4. Can the Discretization Modify the Performance of Schwarz Methods?

      • Victorita Dolean, Martin J. Gander

      Pages 117-124

   5. The Pole Condition: A Padé Approximation of the Dirichlet to Neumann Operator

      • Martin J. Gander, Achim Schädle

      Pages 125-132

   6. Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation

      • Laurence Halpern, Caroline Japhet*, Jérémie Szeftel*

      Pages 133-140

   7. Two-Level Methods for Blood Flow Simulation

      • Andrew T. Barker, Xiao-Chuan Cai

      Pages 141-148

   8. Newton-Krylov-Schwarz Method for a Spherical Shallow Water Model*

      • Chao Yang, Xiao-Chuan Cai

      Pages 149-155

   9. A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with Application in Quantum Dot Simulation

      • Zih-Hao Wei, Feng-Nan Hwang, Tsung-Ming Huang, Weichung Wang

      Pages 157-164

   10. Two-Level Multiplicative Domain Decomposition Algorithm for Recovering the Lamé Coefficient in Biological Tissues

       • Si Liu, Xiao-Chuan Cai

       Pages 165-172

These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.

• domain decomposition
• finite elements
• parallel computing
• preconditioned conjugate gradients

• , Department of Mathematics, Xiangtan University, Xiangtan, China, People's Republic

  Yunqing Huang

• FB Mathematik und Informatik, Freie Universität Berlin, Berlin, Germany

  Ralf Kornhuber

• Department of Mathematics, Courant Institute of Math. Sciences, New York University, New York, USA

  Olof Widlund

• Eberly College of Science, Dept. Mathematics, Pennsylvania State University, University Park, USA

  Jinchao Xu

The editors are all well-known researchers in this research field.

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