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Iterative Methods For Stabilized Discrete Convection-Diffusion Problems (1998)  (Make Corrections)  (1 citation)
Yin-Tzer Shih, Howard C. Elman
IMA Journal of Numerical Analysis



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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)

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...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....

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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" }
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