Ebook: Domain Decomposition Methods in Science and Engineering XX

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.​

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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.?

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