(Enter summary)
Abstract: . In this paper, we study the computational cost of solving the convection-diffusion equation using
various discretization strategies and iteration solution algorithms. The choice of discretization influences the
properties of the discrete solution and also the choice of solution algorithm. The discretizations considered
here are stabilized low order finite element schemes using streamline diffusion, crosswind diffusion and shock--
capturing. The latter, shock--capturing discretizations lead to ... (Update)
Context of citations to this paper: More
...for an iterative substructuring method with optimized interface conditions. When discussing our numerical results, we will also refer to [36], where some preconditioners based on relaxation and incomplete factorizations are carefully tested for some stabilized methods....
Cited by: More
FETI Domain Decomposition Methods For Scalar Advection-Diffusion.. - Toselli (2000)
(Correct)
Similar documents (at the sentence level):
5.8%: Modified Streamline Diffusion Schemes For Convection-Diffusion.. - Shih, Elman (1997)
(Correct)
Active bibliography (related documents): More All
0.5: Numerical Simulations of Semiconductor Devices by.. - Jiang (1995)
(Correct)
0.5: A Phase Error Analysis of Multigrid Methods for Hyperbolic.. - Wan, Chan
(Correct)
0.4: A Multigrid Preconditioner For Stabilised Discretisations Of.. - Ramage (1998)
(Correct)
Similar documents based on text: More All
0.1: Efficient Iterative Algorithms For The Stochastic Finite.. - Elman, al. (2002)
(Correct)
0.1: Efficient Block Iterative Methods For Convection-Dominated.. - Wang (1998)
(Correct)
0.1: Residual-Minimizing Krylov Subspace Methods For Stabilized.. - Ernst (1998)
(Correct)
BibTeX entry: (Update)
Yin-Tzer Shih and Howard C. Elman. Iterative methods for stabilized discrete convection-- di#usion problems. Technical report, Department of Computer Science, University of Maryland, College Park, 1998. Tech. Rep. UMCP-CSD/CS-TR-3890,. http://citeseer.ist.psu.edu/shih98iterative.html More
@article{ shih00iterative,
author = "Yin-Tzer Shih and Howard C. Elman",
title = "Iterative methods for stabilized discrete convection-diffusion problems",
journal = "IMA Journal of Numerical Analysis",
volume = "20",
number = "3",
pages = "333--358",
year = "2000",
url = "citeseer.ist.psu.edu/shih98iterative.html" }
Citations (may not include all citations):
715
GMRES: A generalized minimal residual algorithm for solving .. (context) - Saad, Schultz - 1986
650
Numerical Methods for Unconstrained Optimization and Nonline.. (context) - Dennis, Schnabel - 1983
189
Numerical Solution of Partial Differential Equations by the .. (context) - Johnson - 1987
176
Inexact Newton methods (context) - Dembo, Eisenstat et al. - 1982
168
A new finite element formulation for computational fluid dyn.. (context) - Hughes, Mallet et al. - 1986
122
Iterative Methods for Linear and Nonlinear Equations (context) - Kelley - 1995
102
Hybrid krylov methods for nonlinear systems of equations (context) - Brown, Saad - 1990
69
Matrix-dependent prolongations and restrictions in a blockbo.. (context) - de Zeeuw - 1990
68
Block preconditioning for the conjugate gradient method (context) - Concus, Golub et al. - 1985
66
Numerical Methods for Singularly PerturbedDifferential Equat.. (context) - Roos, Stynes et al. - 1996
51
Numerical Approximation of Partial Differential Equations (context) - Quarteroni, Valli - 1994
44
A class of methods for solving nonlinear simultaneous equati.. (context) - Broyden - 1965
41
Numerical Solution of Convection-Diffusion Problems (context) - Morton - 1996
40
Conjugate gradient-like algorithms for solving nonsymmetric .. (context) - Saad, Schultz - 1985
36
A multidimensional upwind scheme with no crosswind diffusion (context) - Hughes, Brooks - 1979
32
Petrov-Galerkin formulations for convection dominated flows .. (context) - Brooks, Hughes - 1982
23
Convergence of a shock-capturing streamline diffusion finite.. (context) - Szepessy - 1989
19
Incomplete block-matrix factorization preconditioning method.. (context) - Axelsson - 1985
19
Don't suppress the wiggles -- they're telling you something (context) - Gresho, Lee - 1981
16
Crosswind smear and pointwise errors in streamline diffusion.. (context) - Johnson, Schatz et al. - 1987
10
Incomplete block-matrix factorization iterative methods for .. (context) - Axelsson, Eijkhout et al. - 1989
9
Mixed defect correction iteration for the accurate solution .. (context) - Hemker - 1982
8
The numerical treatment of advection -- a performance compar.. (context) - Smith, Hutton - 1982
8
A Finite Element Method for Convection-Diffusion Problems (context) - Navert - 1982
6
Pointwise superconvergence of the streamline diffusion finit.. (context) - Zhou, Rannacher - 1996
6
Towards parameter-free streamline upwinding for advection-di.. (context) - Fischer, Ramage et al. - 1996
5
Boundary layers in linear elliptic singular perturbation pro.. (context) - Eckhaus - 1972
4
A discontinuity-capturing crosswind-dissipationfor the finit.. (context) - Codina - 1993
4
Modified streamline diffusion schemes for the convection--di..
- Shih, Elman - 1997
3
Tensor--GMRES methods for large systems of nonlinear equatio.. (context) - Feng, Pulliam - 1997
2
Fourier analysis of a robust multigrid method for two--dimen.. (context) - Reusken - 1995
2
the numerical solution of convection dominated convection-di.. (context) - Axelsson - 1984
2
An asymptotically fitted finite element method for convectio.. (context) - Lube - 1992
2
Convergence of a Finite Element Method for Hyperbolic Conser.. (context) - Szepessy - 1989
2
uniform convergence conditions for difference schemes for tw.. (context) - Stynes, Tobiska - 1995
1
Nonlinear precondtioned Krylov space methods for discrete Ne.. (context) - Chan, Jackson - 1984
1
A consistent approximate upwind Petrov--Galerkin methods for.. (context) - Galeao, Do - 1988
1
the convergence of shock-capturing streimline diffusion fini.. (context) - Johnson, Szepessy et al. - 1990
1
Choosing the forcing terms in an exact Newton's method (context) - Eisenstat, Walker - 1996
1
Upwind Finite Element Solutions for Convection-Diffusion Pro.. (context) - Shih - 1998
Documents on the same site (http://www.cs.umd.edu/TRs/TR-no-abs.html): More
Perturbation Theory for the Singular Value Decomposition - Stewart (1990)
(Correct)
Adaptive Runtime Support for Direct Simulation Monte Carlo.. - Moon, Saltz (1994)
(Correct)
Interprocedural Data Flow Based Optimizations for Distributed.. - Gagan Agrawal (1997)
(Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC