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arxiv 2201.10640 v1 pith:XXBYYV5N submitted 2022-01-25 math.NA cs.NA

Algebraic Multiscale Method for two--dimensional elliptic problems

Kanghun Cho , Imbunm Kim , Raehyun Kim , Dongwoo Sheen This is my paper
classification math.NA cs.NA
keywords methodmultiscalealgebraicfunctionsbasiselementfiniteproblems
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We introduce an algebraic multiscale method for two--dimensional problems. The method uses the generalized multiscale finite element method based on the quadrilateral nonconforming finite element spaces. Differently from the one--dimensional algebraic multiscale method, we apply the dimension reduction techniques to construct multiscale basis functions. Also moment functions are considered to impose continuity between local basis functions. Some representative numerical results are presented.

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