DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING

By G. LIVIO

CONTENTS PART I PLENARY PRESENTATIONS SPACE DECOMPOSITIONS AND SOLVERS FOR DISCONTINUOUS GALERKIN METHODS A FINITE ELEMENT METHOD FOR PARTICULATE FLOW OPTIMIZED SCHWARZ WAVEFORM RELAXATION FOR NONLINEAR SYSTEMS OF PARABOLIC TYPE DOMAIN DECOMPOSITION FOR BOUNDARY INTEGRAL EQUATIONS VIA LOCAL MULTI-TRACE FORMULATIONS RECENT ADVANCES IN DOMAIN DECOMPOSITION METHODS FOR THE STOKES PROBLEM ON AN ADAPTIVE COARSE SPACE AND ON NONLINEAR DOMAIN DECOMPOSITION ON ITERATIVE SUBSTRUCTURING METHODS FOR MULTISCALE PROBLEMS A MORTAR BDD METHOD FOR SOLVING FLOW IN STOCHASTIC DISCRETE FRACTURE NETWORKS A DOMAIN-BASED MULTINUMERIC METHOD FOR THE STEADY-STATE CONVECTION-DIFFUSION EQUATION 3-D FETI-DP PRECONDITIONERS FOR COMPOSITE FINITE ELEMENT-DISCONTINUOUS GALERKIN METHODS A MULTI-STAGE PRECONDITIONER FOR THE BLACK OIL MODEL AND ITS OPENMP IMPLEMENTATION PART II MINISYMPOSIA A FETI-DP ALGORITHM FOR INCOMPRESSIBLE STOKES EQUATIONS WITH CONTINUOUS PRESSURES GENERATING EQUIDISTRIBUTED MESHES IN 2D VIA DOMAIN DECOMPOSITION MPI–OPENMP ALGORITHMS FOR THE PARALLEL SPACE–TIME SOLUTION OF TIME DEPENDENT PDES NEUMANN–NEUMANN WAVEFORM RELAXATION FOR THE TIME-DEPENDENT HEAT EQUATION GPU-BASED PARALLEL RESERVOIR SIMULATORS OPTIMIZED SCHWARZ METHODS WITH OVERLAP FOR THE HELMHOLTZ EQUATION DG DISCRETIZATION OF OPTIMIZED SCHWARZ METHODS FOR MAXWELL’S EQUATIONS SIMULATIONS OF MICRO CHANNEL GAS FLOWS WITH DOMAIN DECOMPOSITION TECHNIQUE FOR KINETIC AND FLUID DYNAMICS EQUATIONS MULTISCALE FINITE ELEMENTS FOR LINEAR ELASTICITY: OSCILLATORY BOUNDARY CONDITIONS INEXACT BDDC METHODS FOR THE CARDIAC BIDOMAIN MODEL PARALLEL COUPLED AND UNCOUPLED MULTILEVEL SOLVERS FOR THE BIDOMAIN MODEL OF ELECTROCARDIOLOGY FUZZY DOMAIN DECOMPOSITION: A NEW PERSPECTIVE ON HETEROGENEOUS DD METHODS A NEW COARSE GRID CORRECTION FOR RAS/AS AGGREGATION-BASED AGGRESSIVE COARSENING WITH POLYNOMIAL SMOOTHING SPACE–TIME DOMAIN DECOMPOSITION FOR MIXED FORMULATIONS OF DIFFUSION EQUATIONS BLOCK JACOBI FOR DISCONTINUOUS GALERKIN DISCRETIZATIONS: NO ORDINARY SCHWARZ METHODS OVERLAPPING DOMAIN DECOMPOSITION METHODS WITH FREEFEM++ ON THE IN?UENCE OF CURVATURE ON TRANSMISSION CONDITIONS CONSERVATIVE INEXACT SOLVERS FOR POROUS MEDIA FLOW ROBUST ISOGEOMETRIC SCHWARZ PRECONDITIONERS FOR COMPOSITE ELASTIC MATERIALS HYBRID DOMAIN DECOMPOSITION SOLVERS FOR THE HELMHOLTZ EQUATION EF?CIENT IMPLEMENTATION OF A MULTI-LEVEL PARALLEL IN TIME ALGORITHM OPTIMIZED SCHWARZ METHODS AND MODEL ADAPTIVITY IN ELECTROCARDIOLOGY SIMULATIONS A NEW INTERFACE CEMENT EQUILIBRATED MORTAR METHOD WITH VENTCEL CONDITIONS FETI-DP METHODS FOR OPTIMAL CONTROL PROBLEMS DOMAIN DECOMPOSITION METHODS IN FEEL++ ADDITIVE SCHWARZ METHOD FOR DG DISCRETIZATION OF ANISOTROPIC ELLIPTIC PROBLEMS A ONE-LEVEL ADDITIVE SCHWARZ PRECONDITIONER FOR A DISCONTINUOUS PETROV–GALERKIN METHOD A SMOOTH TRANSITION APPROACH BETWEEN THE VLASOV–POISSON AND THE EULER–POISSON SYSTEM THE PARAREAL IN TIME ALGORITHM APPLIED TO THE KINETIC NEUTRON DIFFUSION EQUATION ACHIEVING ROBUSTNESS THROUGH COARSE SPACE ENRICHMENT IN THE TWO LEVEL SCHWARZ FRAMEWORK OPTIMIZED SCHWARZ ALGORITHMS IN THE FRAMEWORK OF DDFV SCHEMES A TIME-DEPENDENT DIRICHLET-NEUMANN METHOD FOR THE HEAT EQUATION HIERARCHICAL MODEL (HI-MOD) REDUCTION IN NON-RECTILINEAR DOMAINS THE ORIGINS OF THE ALTERNATING SCHWARZ METHOD SOLVING LARGE SYSTEMS ON HECTOR USING THE 2-LAGRANGE MULTIPLIER METHODS COUPLED FINITE AND BOUNDARY ELEMENT METHODS FOR VIBRO-ACOUSTIC INTERFACE PROBLEMS OPTIMIZED SCHWARZ METHODS FOR MAXWELL EQUATIONS WITH DISCONTINUOUS COEF?CIENTS LOWER DIMENSIONAL COARSE SPACES FOR DOMAIN DECOMPOSITION ROBUST PRECONDITIONERS FOR DG-DISCRETIZATIONS WITH ARBITRARY POLYNOMIAL DEGREES ASM-BDDC PRECONDITIONERS WITH VARIABLE POLYNOMIAL DEGREE FOR CG- AND DG-SEM DOMAIN DECOMPOSITION IN SHALLOW-WATER MODELLING FOR PRACTICAL FLOW APPLICATIONS SPACE–TIME DOMAIN DECOMPOSITION WITH FINITE VOLUMES FOR POROUS MEDIA APPLICATIONS BLOCK JACOBI RELAXATION FOR PLANE WAVE DISCONTINUOUS GALERKIN METHODS OPTIMIZED SCHWARZ METHODS FOR CURL-CURL TIME-HARMONIC MAXWELL’S EQUATIONS ON THE ORIGINS OF ITERATIVE SUBSTRUCTURING METHODS DISCONTINUOUS COARSE SPACES FOR DD-METHODS WITH DISCONTINUOUS ITERATES A TWO-LEVEL PRECONDITIONING FRAMEWORK BASED ON A RICHARDSON ITERATIVE PROCESS PART III CONTRIBUTED PRESENTATIONS DISTRIBUTED NONSMOOTH CONTACT DOMAIN DECOMPOSITION (NSCDD): ALGORITHMIC STRUCTURE AND SCALABILITY INTEGRATING AN N -BODY PROBLEM WITH SDC AND PFASST HYBRID SPACE–TIME PARALLEL SOLUTION OF BURGERS’ EQUATION OPTIMIZED INTERFACE PRECONDITIONERS FOR THE FETI METHOD DOMAIN DECOMPOSITION METHOD FOR REACTION-DIFFUSION SYSTEMS DOMAIN DECOMPOSITION FOR THE NEUTRON SPN EQUATIONS A STOCHASTIC-BASED OPTIMIZED SCHWARZ METHOD FOR THE GRAVIMETRY EQUATIONS ON GPU CLUSTERS A PARALLEL PRECONDITIONER FOR A FETI-DP METHOD FOR THE CROUZEIX–RAVIART FINITE ELEMENT AN ADAPTIVE PARALLEL-IN-TIME METHOD WITH APPLICATION TO A MEMBRANE PROBLEM A SCHUR COMPLEMENT METHOD FOR DAE SYSTEMS IN POWER SYSTEM DYNAMIC SIMULATIONS FETI SOLVERS FOR NON-STANDARD FINITE ELEMENT EQUATIONS BASED ON BOUNDARY INTEGRAL OPERATORS DOMAIN DECOMPOSITION METHODS FOR PROBLEMS OF UNILATERAL CONTACT BETWEEN ELASTIC BODIES WITH NONLINEAR WINKLER COVERS ASYMPTOTIC EXPANSIONS AND DOMAIN DECOMPOSITION A SCHUR COMPLEMENT METHOD FOR COMPRESSIBLE TWO-PHASE FLOW MODELS A POSTERIORI ERROR ESTIMATES FOR A NEUMANN-NEUMANN DOMAIN DECOMPOSITION ALGORITHM APPLIED TO CONTACT PROBLEMS ADDITIVE SCHWARZ WITH VARIABLE WEIGHTS A PARALLEL MULTIGRID SOLVER ON A STRUCTURED TRIANGULATION OF A HEXAGONAL DOMAIN A PARALLEL CRANK–NICOLSON PREDICTOR-CORRECTOR METHOD FOR MANY SUBDOMAINS HETEROGENEOUS COUPLING FOR IMPLICITLY DESCRIBED DOMAINS NKS METHOD FOR THE IMPLICIT SOLUTION OF A COUPLED ALLEN-CAHN/CAHN-HILLIARD SYSTEM SURROGATE FUNCTIONAL BASED SUBSPACE CORRECTION METHODS FOR IMAGE PROCESSING PRACTICAL ASPECTS OF DOMAIN DECOMPOSITION IN JACOBI-DAVIDSON FOR PARALLEL PERFORMANCE LOW-RANK UPDATE OF THE RESTRICTED ADDITIVE SCHWARZ PRECONDITIONER FOR NONLINEAR SYSTEMS GMRES ACCELERATION OF RESTRICTED SCHWARZ ITERATIONS A NONLINEAR DOMAIN DECOMPOSITION TECHNIQUE FOR SCALAR ELLIPTIC PDES A NON OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE OBSTACLE PROBLEM A DOMAIN DECOMPOSITION ALGORITHM FOR CONTACT PROBLEMS WITH COULOMB’S FRICTION HYBRID DUAL-PRIMAL FETI-SCHUR COMPLEMENT METHOD FOR STOKES STABLE COMPUTATIONS OF GENERALIZED INVERSES OF POSITIVE SEMIDE?NITE MATRICES PARALLEL IMPLEMENTATION OF TOTAL-FETI DDM WITH APPLICATION TO MEDICAL IMAGE REGISTRATION FINITE ELEMENT ANALYSIS OF MULTI-COMPONENT ASSEMBLIES: CAD-BASED DOMAIN DECOMPOSITION A FINITE VOLUME VENTCELL–SCHWARZ ALGORITHM FOR ADVECTION-DIFFUSION EQUATIONS DOMAIN DECOMPOSITION WITH NESTEROV’S METHOD TOTAL-FETI METHOD FOR SOLVING CONTACT ELASTO-PLASTIC PROBLEMS NONLINEAR TRANSMISSION CONDITIONS FOR TIME DOMAIN DECOMPOSITION METHOD