Domain Decomposition Methods in Science and Engineering XXI

Front Matter....Pages i-xx
Front Matter....Pages 1-1
Space Decompositions and Solvers for Discontinuous Galerkin Methods....Pages 3-15
A Finite Element Method for Particulate Flow....Pages 17-28
Optimized Schwarz Waveform Relaxation for Nonlinear Systems of Parabolic Type....Pages 29-42
Domain Decomposition for Boundary Integral Equations via Local Multi-Trace Formulations....Pages 43-57
Recent Advances in Domain Decomposition Methods for the Stokes Problem....Pages 59-70
On an Adaptive Coarse Space and on Nonlinear Domain Decomposition....Pages 71-83
On Iterative Substructuring Methods for Multiscale Problems....Pages 85-98
A Mortar BDD Method for Solving Flow in Stochastic Discrete Fracture Networks....Pages 99-112
A Domain-Based Multinumeric Method for the Steady-State Convection-Diffusion Equation....Pages 113-125
3-D FETI-DP Preconditioners for Composite Finite Element-Discontinuous Galerkin Methods....Pages 127-140
A Multi-Stage Preconditioner for the Black Oil Model and Its OpenMP Implementation....Pages 141-153
Front Matter....Pages 155-155
A FETI-DP Algorithm for Incompressible Stokes Equations with Continuous Pressures....Pages 157-165
Generating Equidistributed Meshes in 2D via Domain Decomposition....Pages 167-177
MPI–OpenMP Algorithms for the Parallel Space–Time Solution of Time Dependent PDEs....Pages 179-187
Neumann–Neumann Waveform Relaxation for the Time-Dependent Heat Equation....Pages 189-198
GPU-Based Parallel Reservoir Simulators....Pages 199-206
Optimized Schwarz Methods with Overlap for the Helmholtz Equation....Pages 207-215
DG Discretization of Optimized Schwarz Methods for Maxwell’s Equations....Pages 217-225
Simulations of Micro Channel Gas Flows with Domain Decomposition Technique for Kinetic and Fluid Dynamics Equations....Pages 227-236
Multiscale Finite Elements for Linear Elasticity: Oscillatory Boundary Conditions....Pages 237-245
Front Matter....Pages 155-155
Inexact BDDC Methods for the Cardiac Bidomain Model....Pages 247-255
Parallel Coupled and Uncoupled Multilevel Solvers for the Bidomain Model of Electrocardiology....Pages 257-264
Fuzzy Domain Decomposition: A New Perspective on Heterogeneous DD Methods....Pages 265-273
A New Coarse Grid Correction for RAS/AS....Pages 275-283
Aggregation-Based Aggressive Coarsening with Polynomial Smoothing....Pages 285-293
Space–Time Domain Decomposition for Mixed Formulations of Diffusion Equations....Pages 295-304
Block Jacobi for Discontinuous Galerkin Discretizations: No Ordinary Schwarz Methods....Pages 305-313
Overlapping Domain Decomposition Methods with FreeFem++ ....Pages 315-322
On the Influence of Curvature on Transmission Conditions....Pages 323-331
Conservative Inexact Solvers for Porous Media Flow....Pages 333-340
Robust Isogeometric Schwarz Preconditioners for Composite Elastic Materials....Pages 341-350
Hybrid Domain Decomposition Solvers for the Helmholtz Equation....Pages 351-358
Efficient Implementation of a Multi-Level Parallel in Time Algorithm....Pages 359-366
Optimized Schwarz Methods and Model Adaptivity in Electrocardiology Simulations....Pages 367-375
A New Interface Cement Equilibrated Mortar Method with Ventcel Conditions....Pages 377-385
FETI-DP Methods for Optimal Control Problems....Pages 387-395
Domain Decomposition Methods in Feel++....Pages 397-405
Additive Schwarz Method for DG Discretization of Anisotropic Elliptic Problems....Pages 407-415
A One-Level Additive Schwarz Preconditioner for a Discontinuous Petrov–Galerkin Method....Pages 417-425
A Smooth Transition Approach Between the Vlasov–Poisson and the Euler–Poisson System....Pages 427-435
Front Matter....Pages 155-155
The Parareal in Time Algorithm Applied to the Kinetic Neutron Diffusion Equation....Pages 437-445
Achieving Robustness Through Coarse Space Enrichment in the Two Level Schwarz Framework....Pages 447-455
Optimized Schwarz Algorithms in the Framework of DDFV Schemes....Pages 457-466
A Time-Dependent Dirichlet-Neumann Method for the Heat Equation....Pages 467-475
Hierarchical Model (Hi-Mod) Reduction in Non-rectilinear Domains....Pages 477-485
The Origins of the Alternating Schwarz Method....Pages 487-495
Solving Large Systems on HECToR Using the 2-Lagrange Multiplier Methods....Pages 497-505
Coupled Finite and Boundary Element Methods for Vibro-Acoustic Interface Problems....Pages 507-515
Optimized Schwarz Methods for Maxwell Equations with Discontinuous Coefficients....Pages 517-525
Lower Dimensional Coarse Spaces for Domain Decomposition....Pages 527-535
Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees....Pages 537-545
ASM-BDDC Preconditioners with Variable Polynomial Degree for CG- and DG-SEM....Pages 547-555
Domain Decomposition in Shallow-Water Modelling for Practical Flow Applications....Pages 557-565
Space–Time Domain Decomposition with Finite Volumes for Porous Media Applications....Pages 567-575
Block Jacobi Relaxation for Plane Wave Discontinuous Galerkin Methods....Pages 577-585
Optimized Schwarz Methods for Curl-Curl Time-Harmonic Maxwell’s Equations....Pages 587-595
On the Origins of Iterative Substructuring Methods....Pages 597-605
Discontinuous Coarse Spaces for DD-Methods with Discontinuous Iterates....Pages 607-615
A Two-Level Preconditioning Framework Based on a Richardson Iterative Process....Pages 617-624
Front Matter....Pages 625-625
Distributed Nonsmooth Contact Domain Decomposition (NSCDD): Algorithmic Structure and Scalability....Pages 627-636
Front Matter....Pages 625-625
Integrating an N -Body Problem with SDC and PFASST....Pages 637-645
Hybrid Space–Time Parallel Solution of Burgers’ Equation....Pages 647-655
Optimized Interface Preconditioners for the FETI Method....Pages 657-665
Domain Decomposition Method for Reaction-Diffusion Systems....Pages 667-676
Domain Decomposition for the Neutron SP N Equations....Pages 677-685
A Stochastic-Based Optimized Schwarz Method for the Gravimetry Equations on GPU Clusters....Pages 687-695
A Parallel Preconditioner for a FETI-DP Method for the Crouzeix–Raviart Finite Element....Pages 697-705
An Adaptive Parallel-in-Time Method with Application to a Membrane Problem....Pages 707-717
A Schur Complement Method for DAE Systems in Power System Dynamic Simulations....Pages 719-727
FETI Solvers for Non-standard Finite Element Equations Based on Boundary Integral Operators....Pages 729-737
Domain Decomposition Methods for Problems of Unilateral Contact Between Elastic Bodies with Nonlinear Winkler Covers....Pages 739-748
Asymptotic Expansions and Domain Decomposition....Pages 749-757
A Schur Complement Method for Compressible Two-Phase Flow Models....Pages 759-768
A Posteriori Error Estimates for a Neumann-Neumann Domain Decomposition Algorithm Applied to Contact Problems....Pages 769-777
Additive Schwarz with Variable Weights....Pages 779-787
A Parallel Multigrid Solver on a Structured Triangulation of a Hexagonal Domain....Pages 789-797
A Parallel Crank–Nicolson Predictor-Corrector Method for Many Subdomains....Pages 799-808
Heterogeneous Coupling for Implicitly Described Domains....Pages 809-817
NKS Method for the Implicit Solution of a Coupled Allen-Cahn/Cahn-Hilliard System....Pages 819-827
Surrogate Functional Based Subspace Correction Methods for Image Processing....Pages 829-837
Front Matter....Pages 625-625
Practical Aspects of Domain Decomposition in Jacobi-Davidson for Parallel Performance....Pages 839-847
Low-Rank Update of the Restricted Additive Schwarz Preconditioner for Nonlinear Systems....Pages 849-857
GMRES Acceleration of Restricted Schwarz Iterations....Pages 859-867
A Nonlinear Domain Decomposition Technique for Scalar Elliptic PDEs....Pages 869-877
A Non Overlapping Domain Decomposition Method for the Obstacle Problem....Pages 879-887
A Domain Decomposition Algorithm for Contact Problems with Coulomb’s Friction....Pages 889-897
Hybrid Dual-Primal FETI-Schur Complement Method for Stokes....Pages 899-907
Stable Computations of Generalized Inverses of Positive Semidefinite Matrices....Pages 909-916
Parallel Implementation of Total-FETI DDM with Application to Medical Image Registration....Pages 917-925
Finite Element Analysis of Multi-Component Assemblies: CAD-Based Domain Decomposition....Pages 927-935
A Finite Volume Ventcell–Schwarz Algorithm for Advection-Diffusion Equations....Pages 937-946
Domain Decomposition with Nesterov’s Method....Pages 947-954
Total-FETI Method for Solving Contact Elasto-Plastic Problems....Pages 955-963
Nonlinear Transmission Conditions for time Domain Decomposition Method....Pages 965-973
Back Matter....Pages 975-981