A competitive algorithm, which allows the computation of approximated polynomial solutions of advection-diffusion equations in the square, is presented. The equation is collocated at a special grid and the corresponding system is solved by a low-cost preconditioned iterative procedure. The method provides accurate results even when the solution presents sharp boundary layers.
A NEW SCHEME FOR THE APPROXIMATION OF ADVECTION-DIFFUSION EQUATIONS BY COLLOCATION / Funaro, Daniele. - In: SIAM JOURNAL ON NUMERICAL ANALYSIS. - ISSN 0036-1429. - STAMPA. - 30:(1993), pp. 1664-1676. [10.1137/0730085]
A NEW SCHEME FOR THE APPROXIMATION OF ADVECTION-DIFFUSION EQUATIONS BY COLLOCATION
FUNARO, Daniele
1993
Abstract
A competitive algorithm, which allows the computation of approximated polynomial solutions of advection-diffusion equations in the square, is presented. The equation is collocated at a special grid and the corresponding system is solved by a low-cost preconditioned iterative procedure. The method provides accurate results even when the solution presents sharp boundary layers.
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