Domain Decomposition Methods in Science and Engineering XIX

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