Proceedings of the 7th International Conference on Domain Decomposition Methods in Pennsylvania, USA (October 27-30 1993)

Hardcopy of the proceedings

The printed version was published by AMS
Domain Decomposition Methods in Scientific and Engineering Computing
D.E. Keyes and J. Xue (Eds.)
1993, 546 p., Softcover, ISBN: 0-8218-5171-3

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Preface

Part I: Theory

Interpolation spaces and optimal multilevel preconditioners
F.A. Bornemann
Two-level additive Schwarz preconditioners for nonconforming finite elements
S. C. Brenner
Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems
H.-J. Bungartz, M. Griebel, D. Röschke and C. Zenger
Domain decomposition methods for monotone nonlinear elliptic problems
X-C. Cai and M. Dryja
Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results
P. Deuflhard
Multilevel methods for elliptic problems with discontinuous coefficients in three dimensions
M. Dryja
Multilevel methods for elliptic problems on domains not resolved by the coarse grid
R. Kornhuber and H. Yserentant
Three dimenional domain decomposition methods with nonmatching grids and unstructured coarse solvers
P. Le Tallec, T. Sassi and M. Vidrascu
Domain decomposition for elliptic problems with large condition numbers
S.V. Nepomnyaaschikh
Stable suspace splittings for Sovolev spaces and domain decomposition algorithms
P. Oswald
A wire basket method for spectral elements in three dimensions
L.F. Pavarino
An analysis of spectral graph partitioning via quadratic assignment problems
A. Pothen
Error estimators based on stable splittings
U. Rüde
Multilevel methods for P1 nonconforming finite elements and discontinuous coefficients in three dimensions
M. Sarkis
On generalized Schwarz coupling applied to advection-dominated problems
K.H. Tan and M.J.A. Borsboom
Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements
O.B. Widlund

Part II: Algorithms

Preconditioning via asymptotically-defined domains decomposition.
S.F. Ashby, C.T. Kelley, P.E. Saylor and J.S. Scroggs
A spectral Stokes solver in domian decomposition methodsx
M. Azaiez and A. Quateroni
Preconditioned iterative methods in a supspace for linear algebraic equations with large jumps in the coefficients.
N.S. Bakhvalov and A.V. Knyazev
The hierachical basis multigrid method and incomplete LU decomposition.
R.E. Bank and J. Xu
Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes.
T.F. Chan and B.F. Smith
Two-grid methods for mixed element approximations of nonlinear parabolic equations.
C.N. Dawson and M.F. Wheeler
Domain decomposition algorithms for PDE problems with large scale variations.
L. Giraud and R.S. Tuminaro
A one shot domain decomposition/fictitious domain method for the Navier-Stokes equations.
R. Glowinski, T.-W. Pan and J. Périaux
Domain-oriented multilevel methods.
M. Griebel
Multigrid and domain decomposition methods for electrostatics problems.
M. Holst and F. Saied
A parallel subspace decomposition method for hyperbolic equations.
E. Katzer
Numerical treatments for the Helmholtz problem by domain decomposition techniques.
S. Kim
Schwarz methods for obstacle problems with convection-diffusion operators.
Y.A. Kutznetsov, P. Neittaanmäki and P. Tarvainen
On domain decomposition and shooting methods for two-point boundary value problems.
C.-H. Lai
Robust methods for highly nonsymmetric problems.
W. Layton, J. Maubach and P. Rabier
Domain decomposition via the Sinc-Galerkin method for second order differential equations.
N.J. Lybeck and K.L. Bowers
A bisection method to find all solutions of a system of nonlinear equations.
P. Mejzlik
Preconditioning cell-centered finite difference equations on grids with local refinement.
I.D. Mishev
Outflow boundary conditions and domain decomposition method.
F. Nataf and F. Rogier
Domain decomposition for adaptive hp finite element methods.
J.T. Oden, A. Patra and Y. Feng
Domain decomposition preconditioners with Krylov supspace methods as subdomain solvers.
M. Pernice
Elliptic preconditioners using fast summation techniques.
L.R. Scott
The modified vertex space domain decomposition method for Neumann boundary value problems.
J.P. Shao
A multi-color splitting method and convergence analysis for local grid refinement.
T. Shih, C.-B. Liem, T. Lu and A. Zhou
Boundary elements in domain decomposition methods.
O. Steinbach
An overdetermined Schwarz alternating method.
V.H. Sun and W.-P. Tang
Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition.
X.-C. Tai
ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces.
H. Wang, H.K. Dahle, R.E. Ewing, T. Lin and J.E. Våg

Part III: Parallelism

Parallel domain decomposition applied to coupled transport equations.
P.E. Bjørstad, W.M. Coughran Jr. and E. Grosse
MENUS-PGG: A mapping environment for unstructured and structured numerical parallel grid generation.
N. Chrisochoides, G. Fox and J. Thompson
A comparison of three iterative algorithms based on domain decomposition methods.
P. Ciarlet Jr.
IBLU preconditioners for massively parallel computers.
E. De Sturler
Tailoring domain decompostition methods for efficient parallel coarse grid solution and for systems with many right hand sides.
C. Fahrhat and P.-S. Chen
Analysis and implementation of DD methods for parallel FE computations.
H.X. Lin
Finite-element/Newton method for solution of nonlinear problems in transport processes using domain decomposition and nested dissection on MIMD parallel computers.
M.R. Mehrabi and R.A. Brown
Modeling with collaborating PDE solvers: Theory and practice.
M. Mu and J.R. Rice
Parallelization of a multigrid solver via a domain decomposition method.
F.-X. Roux and D. Tromeur-Dervout
A Compiler for parallel finite element methods with domain-decomposed unstructured meshes.
J.R. Shewchuk and O. Ghattas

Part IV: Applications

A x-formulation of the viscous-inviscid domain decomposition for the Euler/Navier-Stokes equations.
R. Arina and C. Canuto
Domain decomposition and computation of two dimensional detonation waves.
W. Cai
Parallel implicit methods for aerodynamics.
X.-C. Cai, W.D. Gropp, D.E. Keyes and M.D. Tidriri
Parallel domain-decomposed preconditioners in finite element shallow water flow modeling.
Y. Cai and I.M. Navon
A domain decomposition method for Bellman equations.
F. Camilli, M. Falcone, P. Lanucara and A. Seghini
Domain decomposition for the shallow water equations.
J.G. Chefter, C.K. Chu and D.E. Keyes
Domain decomposition methods for device modelling.
R.K. Coomer and I.G. Graham
An efficient computational method for the flow past an airfoil.
G.C. Hsiao, M.D. Marcozzi and S. Zhang
Newton-Krylov-Schwarz techniques applied to the two-dimensional incompressible Navier-Stokes and energy equations.
P.G. Jacobs, V.A. Mosseau, P.R. McHugh and D.A. Knoll
Direct numerical simulation of jet flow via a multi-block technique.
H.C. Ku, H.E. Gilreath, R. Raul and J.C. Sommerer
Balancing domain decomposition for plates.
P. Le Tallec, J. Mandel and M. Vidrascu
Nonlinear block iterative solution of semiconductor device equations by a domain decomposition method.
S. Micheletti, A. Quarteroni and R. Sacco
A direct Chebyshev multidomain method for flow computation with application to rotating systems.
I. Raspo, J. Ouazzani and R. Peyret
Multi-domain Fourier algorithms for parallel solution of the Navier-Stokes equations.
L. Vozovoi, M. Israeli and A. Averbuch

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

Proceedings of the 7th International Conference on Domain Decomposition Methods in Pennsylvania, USA (October 27-30 1993)

Hardcopy of the proceedings

Contents

Preface

Part I: Theory

Part II: Algorithms

Part III: Parallelism

Part IV: Applications