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,.  Home/Search   Document Details and Download   Summary   Related Articles

....methods for advection di#usion problems and other methods are possible. We only know of few previous papers; see [23] where a FETI coarse space is employed 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. As is customary, see [31, Ch. 6] we suppose c 1 2 # a # c 0 0, in# , 2) a n # 0, on ## N . 3) For any D # ## the bilinear form associated to the ....

....of the FETI 2 algorithms. We note that, for convection dominated problems and parallel flows, this is the same behavior as exhibited by some other iterative substructuring methods, see, e.g. 9, 40, 3] and some preconditioned iterative methods based on incomplete factorizations, see, e.g. [36]. We conclude that the FETI 2 algorithms do not seem to present any considerable advantage over FETI 1 for the choices of Q considered in section 3.3. In Table 2, we present some results for di#erent meshes. An initial mesh consists of 12 A. TOSELLI # no cs Q = I Q = Q 1 Q = Q 2 1 13 11 10 11 ....

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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,.

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