Geodesic
Adaptive method for solving boundary value problems for the Poisson equation with rapidly changing potential
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2015), pp. 64-74
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The adaptive grid method is used for solving boundary value problem for the Poisson equation. This method can significantly reduce the number of grid nodes in case of a drastic change of desired solution in some sub-regions of the computational domain. This article describes general criteria for evaluation of the sub-domains with a drastic change in the solution, and the algorithm for constructing a Cartesian grid with local refinement in accordance with specified criteria. Bibliogr. 25. Il. 5. Tables 2.
Mots-clés : Poisson's equation
Keywords: adaptive grid method. 
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N. V. Ovsiannikov. Adaptive method for solving boundary value problems for the Poisson equation with rapidly changing potential. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2015), pp. 64-74. http://geodesic.mathdoc.fr/item/VSPUI_2015_1_a5/

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