Domain Decomposition Methods in Science and Engineering XX

✍ Scribed by Constantin Bacuta, Long Chen, Jinchao Xu (auth.), Randolph Bank, Michael Holst, Olof Widlund, Jinchao Xu (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 701
• Series: Lecture Notes in Computational Science and Engineering 91
• Edition: 1
• Category: Library

✦ Synopsis

These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind. This is essential for approaching peak floating point performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms.​

✦ Table of Contents

Front Matter....Pages I-XIX
Front Matter....Pages 1-1
Equidistribution and Optimal Approximation Class....Pages 3-14
Some Recent Tools and a BDDC Algorithm for 3D Problems in H(curl)....Pages 15-25
Symbolic Techniques for Domain Decomposition Methods....Pages 27-38
Scalable Domain Decomposition Algorithms for Contact Problems: Theory, Numerical Experiments, and Real World Problems....Pages 39-49
Robust Coarsening in Multiscale PDEs....Pages 51-62
Multi-level Decompositions of Electronic Wave Functions....Pages 63-72
A Substructuring Preconditioner for Three-Dimensional Maxwell’s Equations....Pages 73-84
Front Matter....Pages 85-85
A Two-Level Schwarz Preconditioner for Heterogeneous Problems....Pages 87-94
Heterogeneous Domain Decomposition Methods for Eddy Current Problems....Pages 95-102
Mesh Regularization in Bank-Holst Parallel hp -Adaptive Meshing....Pages 103-110
Robust Parameter-Free Multilevel Methods for Neumann Boundary Control Problems....Pages 111-118
An Overlapping Domain Decomposition Method for a 3D PEMFC Model....Pages 119-126
Multigrid Methods for the Biharmonic Problem with Cahn-Hilliard Boundary Conditions....Pages 127-134
A Two-Level Additive Schwarz Preconditioner for C 0 Interior Penalty Methods for Cahn-Hilliard Equations....Pages 135-142
An Algebraic Multigrid Method Based on Matching in Graphs....Pages 143-150
Shifted Laplacian RAS Solvers for the Helmholtz Equation....Pages 151-158
A Subspace Correction Method for Nearly Singular Linear Elasticity Problems....Pages 159-166
Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation....Pages 167-174
Preconditioning for Mixed Finite Element Formulations of Elliptic Problems....Pages 175-182
Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients....Pages 183-190
Front Matter....Pages 85-85
Domain Decomposition Methods of Stochastic PDEs....Pages 191-198
Improving the Convergence of Schwarz Methods for Helmholtz Equation....Pages 199-206
A Domain Decomposition Solver for the Discontinuous Enrichment Method for the Helmholtz Equation....Pages 207-214
Domain Decomposition Methods for the Helmholtz Equation: A Numerical Investigation....Pages 215-222
Stable BETI Methods in Electromagnetics....Pages 223-230
Preconditioning High–Order Discontinuous Galerkin Discretizations of Elliptic Problems....Pages 231-238
A Block Solver for the Exponentially Fitted IIPG-0 Method....Pages 239-246
A Nonoverlapping DD Preconditioner for a Weakly Over-Penalized Symmetric Interior Penalty Method....Pages 247-254
Sharp Condition Number Estimates for the Symmetric 2-Lagrange Multiplier Method....Pages 255-261
Time Domain Maxwell Equations Solved with Schwarz Waveform Relaxation Methods....Pages 263-270
Comparison of a One and Two Parameter Family of Transmission Conditions for Maxwell’s Equations with Damping....Pages 271-278
Hybrid Domain Decomposition Solvers for the Helmholtz and the Time Harmonic Maxwell’s Equation....Pages 279-287
Multiscale Domain Decomposition Preconditioners for Anisotropic High-Contrast Problems....Pages 289-296
A Robust FEM-BEM Solver for Time-Harmonic Eddy Current Problems....Pages 297-304
Domain Decomposition Methods for Auxiliary Linear Problems of an Elliptic Variational Inequality....Pages 305-312
New Theoretical Coefficient Robustness Results for FETI-DP....Pages 313-320
Monotone Multigrid Methods Based on Parametric Finite Elements....Pages 321-328
TFETI Scalable Solvers for Transient Contact Problems....Pages 329-336
Model of Imperfect Interfaces in Composite Materials and Its Numerical Solution by FETI Method....Pages 337-344
A Comparison of TFETI and TBETI for Numerical Solution of Engineering Problems of Contact Mechanics....Pages 345-352
Front Matter....Pages 85-85
FETI-DP for Elasticity with Almost Incompressible Material Components....Pages 353-360
An Alternative Coarse Space Method for Overlapping Schwarz Preconditioners for Raviart-Thomas Vector Fields....Pages 361-367
A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue....Pages 369-376
Techniques for Locally Adaptive Time Stepping Developed over the Last Two Decades....Pages 377-385
Newton-Schwarz Optimised Waveform Relaxation Krylov Accelerators for Nonlinear Reactive Transport....Pages 387-394
Alternating and Linearized Alternating Schwarz Methods for Equidistributing Grids....Pages 395-402
Stability Analysis of the Matrix-Free Linearly Implicit Euler Method....Pages 403-410
Augmented Interface Systems for the Darcy-Stokes Problem....Pages 411-418
Mortar Coupling for Heterogeneous Partial Differential Equations....Pages 419-426
Heterogeneous Substructuring Methods for Coupled Surface and Subsurface Flow....Pages 427-434
An Asymptotic Approach to Compare Coupling Mechanisms for Different Partial Differential Equations....Pages 435-442
Coupling Geometrically Exact Cosserat Rods and Linear Elastic Continua....Pages 443-450
Parareal Schwarz Waveform Relaxation Methods....Pages 451-458
A Parallel Overlapping Time-Domain Decomposition Method for ODEs....Pages 459-466
Two-Grid LNKSz for Distributed Control of Unsteady Incompressible Flows....Pages 467-474
On the Applicability of Lions’ Energy Estimates in the Analysis of Discrete Optimized Schwarz Methods with Cross Points....Pages 475-483
Non Shape Regular Domain Decompositions: An Analysis Using a Stable Decomposition in $$H^{1}_{0}$$ ....Pages 485-492
Overlapping Domain Decomposition: Convergence Proofs....Pages 493-500
Front Matter....Pages 501-501
FETI Methods for the Simulation of Biological Tissues....Pages 503-510
Fast Summation Techniques for Sparse Shape Functions in Tetrahedral hp -FEM....Pages 511-518
Front Matter....Pages 501-501
A Non-overlapping Quasi-optimal Optimized Schwarz Domain Decomposition Algorithm for the Helmholtz Equation....Pages 519-526
A Continuous Approach to FETI-DP Mortar Methods: Application to Dirichlet and Stokes Problem....Pages 527-534
One-Shot Domain Decomposition Methods for Shape Optimization Problems....Pages 535-542
A Schur Complement Method for Compressible Navier-Stokes Equations....Pages 543-550
Numerical Study of the Almost Nested Case in a Multilevel Method Based on Non-nested Meshes....Pages 551-558
BDDC for Higher-Order Discontinuous Galerkin Discretizations....Pages 559-567
ARAS2 Preconditioning Technique for CFD Industrial Cases....Pages 569-575
An Implicit and Parallel Chimera Type Domain Decomposition Method....Pages 577-584
Optimized Schwarz Waveform Relaxation for Porous Media Applications....Pages 585-592
On Block Preconditioners for Generalized Saddle Point Problems....Pages 593-598
Optimal Control of the Convergence Rate of Schwarz Waveform Relaxation Algorithms....Pages 599-606
A New Distributed Optimization Approach for Solving CFD Design Problems Using Nash Game Coalition and Evolutionary Algorithms....Pages 607-614
A Neumann-Dirichlet Preconditioner for FETI-DP Method for Mortar Discretization of a Fourth Order Problems in 2D....Pages 615-622
A DG Space–Time Domain Decomposition Method....Pages 623-630
Parallel Adaptive Deflated GMRES....Pages 631-638
Quasi-optimality of BDDC Methods for MITC Reissner-Mindlin Problems....Pages 639-646
Domain Decomposition Method for Stokes Problem with Tresca Friction....Pages 647-654
A Hybrid Discontinuous Galerkin Method for Darcy-Stokes Problems....Pages 655-662
Front Matter....Pages 663-670
A Fully Implicit Compressible Euler Solver for Atmospheric Flows....Pages 671-678
Back Matter....Pages 501-501
....Pages 679-686

✦ Subjects

Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Partial Differential Equations; Computer-Aided Engineering (CAD, CAE) and Design