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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
Table of Contents
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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]