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• W3100751624 abstract "The present paper introduces an efficient and accurate numerical scheme for the solution of a highly anisotropic elliptic equation, the anisotropy direction being given by a variable vector field. This scheme is based on an asymptotic preserving reformulation of the original system, permitting an accurate resolution independently of the anisotropy strength and without the need of a mesh adapted to this anisotropy. The counterpart of this original procedure is the larger system size, enlarged by adding auxiliary variables and Lagrange multipliers. This Asymptotic-Preserving method generalizes the method investigated in a previous paper [arXiv:0903.4984v2] to the case of an arbitrary anisotropy direction field." @default.
• W3100751624 created "2020-11-23" @default.
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• W3100751624 date "2012-01-01" @default.
• W3100751624 modified "2023-09-30" @default.
• W3100751624 title "Duality-based asymptotic-preserving method for highly anisotropic diffusion equations" @default.
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• W3100751624 doi "https://doi.org/10.4310/cms.2012.v10.n1.a2" @default.
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