Domain Decomposition Methods in Science and Engineering XIX

✍ Scribed by Randolph E. Bank*, Hieu Nguyenà (auth.), Yunqing Huang, Ralf Kornhuber, Olof Widlund, Jinchao Xu (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2011
• Tongue: English
• Leaves: 495
• Series: Lecture Notes in Computational Science and Engineering 78
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xxiv
Front Matter....Pages 1-1
Domain Decomposition and hp -Adaptive Finite Elements....Pages 3-13
Domain Decomposition Methods for Electromagnetic Wave Propagation Problems in Heterogeneous Media and Complex Domains....Pages 15-26
N–N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients....Pages 27-38
On Adaptive-Multilevel BDDC....Pages 39-50
Interpolation Based Local Postprocessing for Adaptive Finite Element Approximations in Electronic Structure Calculations....Pages 51-61
A New a Posteriori Error Estimate for Adaptive Finite Element Methods....Pages 63-74
Space-Time Nonconforming Optimized Schwarz Waveform Relaxation for Heterogeneous Problems and General Geometries....Pages 75-86
Convergence Behaviour of Dirichlet–Neumann and Robin Methods for a Nonlinear Transmission Problem....Pages 87-98
Front Matter....Pages 99-99
Optimal Interface Conditions for an Arbitrary Decomposition into Subdomains....Pages 101-108
Optimized Schwarz Methods for Domains with an Arbitrary Interface....Pages 109-116
Can the Discretization Modify the Performance of Schwarz Methods?....Pages 117-124
The Pole Condition: A Padé Approximation of the Dirichlet to Neumann Operator....Pages 125-132
Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation....Pages 133-140
Two-Level Methods for Blood Flow Simulation....Pages 141-148
Newton-Krylov-Schwarz Method for a Spherical Shallow Water Model....Pages 149-155
A Parallel Scalable PETSc-Based Jacobi-Davidson Polynomial Eigensolver with Application in Quantum Dot Simulation....Pages 157-164
Two-Level Multiplicative Domain Decomposition Algorithm for Recovering the Lamé Coefficient in Biological Tissues....Pages 165-172
Robust Preconditioner for H(curl) Interface Problems....Pages 173-180
Mixed Multiscale Finite Element Analysis for Wave Equations Using Global Information....Pages 181-188
A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems....Pages 189-196
Front Matter....Pages 99-99
Weighted Poincaré Inequalities and Applications in Domain Decomposition....Pages 197-204
Technical Tools for Boundary Layers and Applications to Heterogeneous Coefficients....Pages 205-212
Coarse Spaces over the Ages....Pages 213-220
FETI-DP for Stokes-Mortar-Darcy Systems....Pages 221-228
Multigrid Methods for Elliptic Obstacle Problems on 2D Bisection Grids....Pages 229-236
How Close to the Fully Viscous Solution Can One Get with Inviscid Approximations in Subregions ?....Pages 237-244
Schwarz Waveform Relaxation Algorithms with Nonlinear Transmission Conditions for Reaction-Diffusion Equations....Pages 245-252
Recent Advances in Schwarz Waveform Moving Mesh Methods – A New Moving Subdomain Method....Pages 253-260
Optimized Schwarz Waveform Relaxation Methods: A Large Scale Numerical Study....Pages 261-268
Optimized Schwarz Methods for Maxwell’s Equations with Non-zero Electric Conductivity....Pages 269-276
Robust Boundary Element Domain Decomposition Solvers in Acoustics....Pages 277-284
A Newton Based Fluid–Structure Interaction Solver with Algebraic Multigrid Methods on Hybrid Meshes....Pages 285-292
Coupled FE/BE Formulations for the Fluid–Structure Interaction....Pages 293-300
Domain Decomposition Solvers for Frequency-Domain Finite Element Equations....Pages 301-308
Deriving the X-Z Identity from Auxiliary Space Method....Pages 309-316
A Near-Optimal Hierarchical Estimate Based Adaptive Finite Element Method for Obstacle Problems....Pages 317-324
Efficient Parallel Preconditioners for High-Order Finite Element Discretizations of H(grad) and H (curl) Problems....Pages 325-332
Front Matter....Pages 333-333
A Simple Uniformly Convergent Iterative Method for the Non-symmetric Incomplete Interior Penalty Discontinuous Galerkin Discretization....Pages 335-342
A Study of Prolongation Operators Between Non-nested Meshes....Pages 343-350
A Parallel Schwarz Method for Multiple Scattering Problems....Pages 351-358
Front Matter....Pages 333-333
Numerical Method for Antenna Radiation Problem by FDTD Method with PML....Pages 359-365
On Domain Decomposition Algorithms for Contact Problems with Tresca Friction....Pages 367-374
Numerical Solution of Linear Elliptic Problems with Robin Boundary Conditions by a Least-Squares/Fictitious Domain Method....Pages 375-382
An Uzawa Domain Decomposition Method for Stokes Problem....Pages 383-390
A Domain Decomposition Method Combining a Boundary Element Method with a Meshless Local Petrov-Galerkin Method....Pages 391-398
A Domain Decomposition Method Based on Augmented Lagrangian with a Penalty Term in Three Dimensions....Pages 399-406
Spectral Element Agglomerate Algebraic Multigrid Methods for Elliptic Problems with High-Contrast Coefficients....Pages 407-414
A FETI-DP Formation for the Stokes Problem Without Primal Pressure Components....Pages 415-422
Schwarz Waveform Relaxation Methods for Systems of Semi-Linear Reaction-Diffusion Equations....Pages 423-430
A Sparse QS-Decomposition for Large Sparse Linear System of Equations....Pages 431-438
Is Additive Schwarz with Harmonic Extension Just Lions’ Method in Disguise?....Pages 439-446
Domain Decomposition Methods for a Complementarity Problem*....Pages 447-454
A Posteriori Error Estimates for Semilinear Boundary Control Problems....Pages 455-462
Back Matter....Pages 463-469

✦ Subjects

Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Numerical and Computational Physics; Mathematics of Computing