Block monotone domain decomposition methods for a nonlinear anisotropic convection-diffusion equation

Sophie Pack, Igor Boglaev

Abstract


This article deals with discrete monotone iterative methods for solving a quasi-linear, singularly perturbed, convection-diffusion problem. A block monotone domain decomposition method based on a Schwarz alternating method and on block (line) successive under-relaxation iterative method is constructed. The advantages of this monotone method are that the method solves only linear discrete systems at each iterative step of the iterative process and converges monotonically to the exact solution of the quasi-linear problem. Numerical experiments are presented.

References
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DOI: http://dx.doi.org/10.21914/anziamj.v49i0.326



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