Geodesic
Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators
Matematičeskoe modelirovanie, Tome 24 (2012) no. 1, pp. 3-20

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The work is dedicated to the development of adaptive methods for solving convection-diffusion problems. For this class of problems a version of minimal correction adaptive SSOR was built, as well the convergence rate of the method was estimated, when grid Peclet number is restricted. Numerical results have been presented for the solving real hydrodynamics problem for shallow water basin using parallel algorithm of constructed method.
Keywords: grid equations with nonselfadjoint operator, adaptive SSOR with preconditioning, parallel algorithm
Mots-clés : domain decomposition. 
@article{MM_2012_24_1_a0,
     author = {A. I. Sukhinov and A. E. Chistyakov},
     title = {Adaptive {analog-SSOR} iterative method for solving grid equations with nonselfadjoint operators},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--20},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_1_a0/}
}
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A. I. Sukhinov; A. E. Chistyakov. Adaptive analog-SSOR iterative method for solving grid equations with nonselfadjoint operators. Matematičeskoe modelirovanie, Tome 24 (2012) no. 1, pp. 3-20. http://geodesic.mathdoc.fr/item/MM_2012_24_1_a0/