Domain Decomposition Methods in Science and Engineering : Proceedings of the Seventh International Conference on Domain Decomposition October 27-30, 1993, the Pennsylvania State University.

Intro -- Contents -- Preface -- List of participants -- Part I. Theory -- Interpolation spaces and optimal multilevel preconditioners -- Two-level additive Schwarz preconditioners for nonconforming finite elements -- Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems -- Domain decomposition rnethods for monotone nonlinear elliptic problems -- Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results -- Multilevel methods for elliptic problems with discontinuous coefficients in three dimensions -- Multilevel methods for elliptic problems on domains not resolved by the coarse grid -- Three-dimensional domain decomposition methods with nonmatching grids and unstructured coarse solvers -- Domain decomposition for elliptic problems with large condition numbers -- Stable subspace splittings for Sobolev spaces and domain decomposition algorithms -- A wire basket based method for spectral elements in three dimensions -- An analysis of spectral graph partitioning via quadratic assignment problems -- Error estimators based on stable splittings -- Multilevel methods for PI nonconforming finite elements and discontinuous coefficients in three dimensions -- On generalized Schwarz coupling applied to advection-dominated problems -- Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements -- Part II. Algorithms -- Preconditioning via asymptotically-defined domain decomposition -- A spectral Stokes solver in domain decomposition methods -- Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients -- The hierarchical basis multigrid method and incomplete LU decomposition -- Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes.

Two-grid methods for mixed finite element approximations of nonlinear parabolic equations -- Domain decomposition algorithms for PDE problems with large scale variations -- A one shot domain decomposition/fictitious domain method for the Navier-Stokes equations -- Domain-oriented multilevel methods -- Multigrid and domain decomposition methods for electrostatics problems -- A parallel subspace decomposition method for hyperbolic equations -- Numerical treatments for the Helmholtz problem by domain decomposition techniques -- Schwarz methods for obstacle problems with convection-diffusion operators -- On domain decomposition and shooting methods for two-point boundary value problems -- Robust methods for highly nonsymmetric problems -- Domain decomposition via the Sinc-Galerkin method for second order differential equations -- A bisection method to find all solutions of a system of nonlinear equations -- Preconditioning cell-centered finite difference equations on grids with local refinement -- Outflow boundary conditions and domain decomposition method -- Domain decomposition for adaptive hp finite element methods -- Domain decomposed preconditioners with Krylov subspace methods as subdomain solver -- Elliptic precondltioaes using fast summation techniques -- The Modified vertex space domain decomposition method for Neumann boundary value problems -- A multi-color splitting rnethod and convergerice analysis for local grid refinement -- Boundary elements in domain decomposition methods -- An overdetermined Schwarz alternating method -- Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition -- ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces -- Part III. Parallelism -- Parallel domain decomposition applied to coupled transport equations.

MENUS-PGG: A mapping environment for unstructured and structured numerical parallel grid generation -- A comparison of three iterative algorithms based on domain decomposition methods -- IBLU preconditioners for massively parallel computers -- Tailoring domain decomposition methods for efficient parallel coarse grid solution and for systems with many right hand sides -- Analysis and implementation of DD methods for parallel FE computations -- Finite-element/Newton method for solution of nonlinear problems in transport processes using domain decomposition and nested dissection on MIMD parallel computers -- Modeling with collaborating PDE solvers: Theory and practice -- Parallelization of a multigrid solver via a domain decomposition method -- A compiler for parallel finite element methods with domain-decomposed unstructured meshes -- Part IV. Applications -- A X-formulation of the viscous-inviscid domain decomposition for the Euler/Navier-Stokes equations -- Domain decomposition and computation of two dimensional detonation waves -- Parallel implicit methods for aerodynamics -- Parallel domain-decomposed preconditioners in finite element shallow water flow modeling -- A domain decomposition method for Bellman equations -- Domain decomposition for the shallow water equations -- Domain decomposition methods for device modelling -- An efficient computational method for the flow past an airfoil -- Newton-Krylov-Schwarz techniques applied to the two-dimensional incompressible Navier-Stokes and energy equations -- Direct numerical simulation of jet flow via a multi-block technique -- Balancing domain decomposition for plates -- Nonlinear block iterative solution of semiconductor device equations by a domain decomposition method -- A direct Chebyshev multidomain method for flow computation with application to rotating systems.

Multi-domain Fourier algorithms for parallel solution of the Navier-Stokes equations.

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