AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Domain Decomposition Methods in Science and Engineering
About this Title
Alfio Quarteroni, Jacques Périaux, Yuri A. Kuznetsov and Olof B. Widlund, Editors
Publication: Contemporary Mathematics
Publication Year:
1994; Volume 157
ISBNs: 978-0-8218-5158-6 (print); 978-0-8218-7748-7 (online)
DOI: https://doi.org/10.1090/conm/157
MathSciNet review: 1262599
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
- V. I. Agoshkov – Domain decomposition methods using modified basis functions [MR 1262600]
- James H. Bramble and Joseph E. Pasciak – Uniform convergence estimates for multigrid $V$-cycle algorithms with less than full elliptic regularity [MR 1262601]
- F. Brezzi and L. D. Marini – A three-field domain decomposition method [MR 1262602]
- Claudio Canuto and Alessandro Russo – Self-adaptive coupling of mathematical models and/or numerical methods [MR 1262603]
- Clint N. Dawson and Todd F. Dupont – Noniterative domain decomposition for second order hyperbolic problems [MR 1262604]
- Maksymilian Dryja and Olof B. Widlund – Some recent results on Schwarz type domain decomposition algorithms [MR 1262605]
- Yu. A. Kuznetsov – Overlapping domain decomposition methods for parabolic problems [MR 1262606]
- Jia Chang Sun – Domain decomposition and multilevel PCG method for solving $3$-D fourth order problems [MR 1262607]
- Jinchao Xu – Some two-grid finite element methods [MR 1262608]
- Gloria Aguilar and Francisco Lisbona – Interface conditions for a kind of nonlinear elliptic-hyperbolic problems [MR 1262609]
- Lucia Gastaldi – A domain decomposition for the transport equation
- Jan Mandel – Hybrid domain decomposition with unstructured subdomains [MR 1262611]
- Luca F. Pavarino – Some Schwarz algorithms for the $p$-version finite element method [MR 1262612]
- U. Rüde – On the robustness and efficiency of the fully adaptive multigrid method [MR 1262613]
- J.-M. Thomas and D. Trujillo – Finite volume variational formulation. Application to domain decomposition methods [MR 1262614]
- Achi Brandt and Boris Diskin – Multigrid solvers on decomposed domains [MR 1262615]
- Tony F. Chan and Tarek P. Mathew – Domain decomposition preconditioners for convection diffusion problems [MR 1262616]
- Oliver Ernst and Gene H. Golub – A domain decomposition approach to solving the Helmholtz equation with a radiation boundary condition [MR 1262617]
- Charbel Farhat and François-Xavier Roux – The dual Schur complement method with well-posed local Neumann problems [MR 1262618]
- William D. Gropp, David E. Keyes and Jon S. Mounts – Implicit domain decomposition algorithms for steady, compressible aerodynamics [MR 1262619]
- T. E. Tezduyar, M. Behr, S. K. Aliabadi, S. Mittal and S. E. Ray – A new mixed preconditioning method based on the clustered element-by-element preconditioners
- J.-D. Benamou and Y. Brenier – A domain decomposition method for the polar factorization of vector fields [MR 1262622]
- B. Bialecki, X.-C. Cai, M. Dryja and G. Fairweather – An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation [MR 1262623]
- Mark C. Curran – An iterative finite-element collocation method for parabolic problems using domain decomposition [MR 1262624]
- Michael Griebel – A domain decomposition method using sparse grids [MR 1262625]
- Wilhelm Heinrichs – Domain decomposition for the Stokes equations in streamfunction formulation [MR 1262626]
- Yu. A. Kuznetsov, P. Neittaanmäki and P. Tarvainen – Overlapping domain decomposition methods for the obstacle problem [MR 1262627]
- C.-H. Lai – An iteration scheme for nonsymmetric interface operator [MR 1262628]
- F. Nataf and F. Rogier – Factorization of the convection-diffusion operator and a (possibly) nonoverlapping Schwarz method [MR 1262629]
- C. R. Schneidesch, M. O. Deville and E. H. Mund – Domain decomposition method coupling finite elements and preconditioned Chebyshev collocation to solve elliptic problems [MR 1262630]
- Tsi Min Shih, Chin Bo Liem and Tao Lü – Additive Schwarz methods and acceleration with variable weights [MR 1262631]
- Paul F. Fischer – Parallel domain decomposition for incompressible fluid dynamics [MR 1262632]
- William D. Gropp and Barry F. Smith – Experiences with domain decomposition in three dimensions: overlapping Schwarz methods [MR 1262633]
- U. Langer – Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition [MR 1262634]
- A. Brambilla, C. Carlenzoli, G. Gazzaniga, P. Gervasio and G. Sacchi – Implementation of domain decomposition techniques on nCUBE2 parallel machine [MR 1262635]
- Patrick Ciarlet, Jr. and Gérard Meurant – A class of domain decomposition preconditioners for massively parallel computers [MR 1262636]
- F. Dellagiacoma, S. Paoletti, F. Poggi and M. Vitaletti – A domain decomposition environment for local time dependent problems [MR 1262637]
- S. Foresti, S. Hassanzadeh and V. Sonnad – A parallel element-by-element method for large-scale computations with $h$-$p$-finite elements [MR 1262638]
- J.-F. Bourgat, P. Le Tallec, B. Perthame and Y. Qiu – Coupling Boltzmann and Euler equations without overlapping [MR 1262639]
- M. O. Bristeau, R. Glowinski and J. Periaux – On the numerical solution of the Helmholtz equation at large wave numbers using exact controllability methods. Applications to scattering
- Roland Glowinski, Tsorng-Whay Pan and Jacques Periaux – A fictitious domain method for unsteady incompressible viscous flow modelled by Navier-Stokes equations
- M. C. Ciccoli, J. A. Desideri and J. Périaux – Introduction of domain decomposition techniques in time-dependent flow problems
- Zdeněk Dostál – The Schur complement algorithm for the solution of contact problems [MR 1262643]
- E. Faccioli, A. Quarteroni and A. Tagliani – Spectral multidomain methods for the simulation of wave propagation in heterogeneous media [MR 1262644]
- Adam Gersztenkorn and J. C. Díaz – Domain decomposition preconditioning for faulted geological blocks [MR 1262645]
- J.-L. Guermond and W.-Z. Shen – A domain decomposition method for simulating $2$D external viscous flows [MR 1262646]
- Ivar Lie – Interface conditions for heterogeneous domain decomposition: coupling of different hyperbolic systems [MR 1262647]
- Daniela Mansutti and Francesca Pitolli – Simulation of $3$D Navier-Stokes flows via domain decomposition by the modified discrete vector potential model [MR 1262648]