Proceedings of the 6th International Conference on Domain Decomposition Methods in Como, Italy (June 15-19 1992)

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

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Preface

Part I: Theory

Invited Lectures

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

Contributed Lectures

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

Part II: Algorithms

Invited Lectures

Multigrid solvers on decomposed domains
A. Brandt and B. Diskin
Domain decomposition preconditioners for convection diffusion problems
T.F. Chan and T.P. Mathew
A domain decomposition approach to solving the Helmholtz equation with a radiation boundary condition
O. Ernst and G.H. Golub
The dual Schur complement method with well-posted local >Neumann problems

C. Farhat and F.-X. Roux

Implicit domain decomposition algorithms for steady, compressible aerodynamics
W.D. Gropp, D.E. Keyes and J.S. Mounts
A new mixed preconditioning method based on the clustered element-by-element preconditioners
T.E. Tezduyar, M. Behr, S.K. Aliabadi, S. Mittal and S.E. Ray

Contributed Lectures

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

Part III: Parallelism

Invited Lectures

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

Contributed Lectures

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

Part IV: Applications

Invited Lectures

Coupling Boltzmann and Euler equations without overlapping
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
M.O. Bristeau, R. Glowinski and J. Périaux
A fictitious domain method for unsteady incompressible viscous flow modelled by Navier-Stokes equations
R. Glowinski, T.-W. Pan, J. Périaux

Contributed Lectures

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

[ Top] [ Top][ Part I][ Part II][ Part III][ Part IV] [ Home]

Proceedings of the 6th International Conference on Domain Decomposition Methods in Como, Italy (June 15-19 1992)

Hardcopy of the proceedings

Contents

Preface

Part I: Theory

Part II: Algorithms

Part III: Parallelism

Part IV: Applications