Hardcopy of the proceedings

The printed version was published by AMS
Domain Decomposition Methods in Science and Engineering
A. Quateroni, J. Periaux, Y.A. Kuznetsov and O. Widlund (Eds.)
1992, 484 p., Softcover, ISBN: 0-8218-5158-6

Download selected contributions

Preface (PDF)

Part I: Theory

• Domain Decomposition methods using modified basis functions (PDF).
  V.I. Agoshkov
• Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity (PDF).
  J.H. Bramble and J.E. Pasciak
• A three-field domain decomposition method (PDF).
  F. Brezzi and L.D. Marini
• Self-adaptive coupling of mathematical models and/or numerical methods (PDF).
  C. Canuto and A. Russo
• Noniterative domain decomposition for second order hyperbolic problems (PDF).
  C.N. Dawson and T.F. Dupont
• Some recent results on Schwarz type domain decomposition algorithms (PDF).
  M. Dryja and O.B. Widlund
• Overlapping domain decomposition methods for parabolic problems (PDF).
  Y.A. Kuznetsov
• Domain decomposition and multilevel PCG method for solving 3-D fourth order problems (PDF).
  J. Sun
• Some two-grid finite element methods (PDF).
  J. Xu

• Interface conditions for a kind of non linear elliptic-hyperbolic problems (PDF).
  G. Aguilar, F. Lisbona
• A domain decomposition for the transport equation (PDF).
  L. Gastaldi
• Hybrid domain decomposition with unstructured subdomains (PDF).
  J. Mandel
• Some Schwarz algorithms for the p-version finite element method (PDF).
  L.F. Pavarino
• On the robustness and efficiency of the fully adaptive multigrid method (PDF).
  U. Rüde
• Finite volume variational formulation. Application to domain decomposition methods (PDF).
  J.-M. Thomas and D. Trujillo

Part II: Algorithms

• Multigrid solvers on decomposed domains (PDF).
  A. Brandt and B. Diskin
• Domain decomposition preconditioners for convection diffusion problems (PDF).
  T.F. Chan and T.P. Mathew
• A domain decomposition approach to solving the Helmholtz equation with a radiation boundary condition (PDF).
  O. Ernst and G.H. Golub
• The dual Schur complement method with well-posted local >Neumann problems
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C. Farhat and F.-X. Roux
• Implicit domain decomposition algorithms for steady, compressible aerodynamics (PDF).
  W.D. Gropp, D.E. Keyes and J.S. Mounts
• A new mixed preconditioning method based on the clustered element-by-element preconditioners (PDF).
  T.E. Tezduyar, M. Behr, S.K. Aliabadi, S. Mittal and S.E. Ray

• Domain Decomposition Methods with local Fourier basis for parabolic problems (PDF).
  A. Averbuch, M. Israeli and L. Vozovoi
• A domain decomposition method for the polar factorization of vector fields (PDF).
  J.-D. Benamou and Y. Brenier
• An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation (PDF).
  B. Bialecki, X.-C. Cai, M. Dryja and G. Fairweather
• An iterative finite-element collocation method for parabolic problems using domain decomposition (PDF).
  M.C. Curran
• A domain decomposition method using sparse grids (PDF).
  M. Griebel
• Domain decomposition for the Stokes equations in streamfunction formulation (PDF).
  W. Heinrichs
• Overlapping domain decomposition methods for the obstacle problem (PDF).
  Y.A. Kuznetsov, P. Neittaanmäki, P. Tarvainen
• An iteration scheme for non-symmetric interface operators (PDF).
  C.-H. Lai
• Factorization of the convection-diffusion operator and a (possibly) non overlapping Schwarz method (PDF).
  F. Nataf, F. Rogier
• Domain decomposition method coupling finite elements and preconditioned Chebyshev collocation to solve elliptic problems (PDF).
  C.R. Schneidesch, M.O. Deville, E.H. Mund
• Additive Schwarz methods and acceleration with variable weights (PDF).
  T.-M. Shih, C.-B. Liem and T. Lu

Part III: Parallelism

• Parallel domain decomposition for incompressible fluid dynamics (PDF).
  P.F. Fischer
• Experiences with domain decomposition in three dimensions: Overlapping Schwarz methods (PDF).
  W.D. Gropp and B.F. Smith
• Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition (PDF).
  U. Langer

• Implementation of domain decomposition techniques on nCUBE2 parallel machine (PDF).
  A. Brambilla, C. Carlenzoli, G. Gazzaniga, P. Gervasio and G. Saachi
• A class of domain decomposition preconditioners for massively parallel computers (PDF).
  P. Ciarlet Jr. and G. Meurant
• A domain decomposition environment for local time dependent problems (PDF).
  F. Dellagiacoma, S. Paoletti, F. Poggi and M. Vitaletti
• A parallel element-by-element method for large-scale computations with h-p finite elements (PDF).
  S. Foresti, S. Hassanzadeh and V. Sonnad

Part IV: Applications

• Coupling Boltzmann and Euler equations without overlapping (PDF).
  J.F. Bourgat, P. Le Tallec, B. Perthame and Y. Qiu
• On the numerical solution of the Helmholtz equation at large wave numbers using exact controllability methods. Application to scattering (PDF).
  M.O. Bristeau, R. Glowinski and J. Périaux
• A fictitious domain method for unsteady incompressible viscous flow modelled by Navier-Stokes equations (PDF).
  R. Glowinski, T.-W. Pan, J. Périaux

• Introduction of domain decomposition techniques in time-dependent flow problems (PDF).
  M.C. Ciccoli, J.A. Desideri and J. Périaux
• The Schur complement algorithm for the solution of contact problems (PDF).
  Z. Dostál
• Spectral multidomain methods for the simulation of wave propagation in heterogeneous media (PDF).
  E. Faccioli, A. Quateroni and A. Tagliani
• Domain decomposed preconditioning for faulted geological blocks (PDF).
  A. Gersztenkorn and J.C. Diaz
• A domain decomposition method for simulating 2D external viscous flows (PDF).
  J.-L. Guermond and W.-Z. Shen
• Interface conditions for heterogeneous domain decomposition: coupling of different hyperbolic systems (PDF).
  I. Lie
• Simulation of 3D Navier-Stokes flows via domain decomposition by the modified discrete vector potential model (PDF).