Proceedings of the 6th International Conference on Domain Decomposition Methods in Como, Italy (June 15-19 1992)
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
Preface (PDF)
Part I: Theory
Invited Lectures
- 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
Contributed Lectures
- 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
Invited Lectures
- 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 The> (PDF).
- 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
C. Farhat and F.-X. Roux
Contributed Lectures
- 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
Invited Lectures
- 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
Contributed Lectures
- 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
Invited Lectures
- 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
Contributed Lectures
- 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).