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Algebraic Multiscale Method for one--dimensional elliptic problems

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arxiv 2201.10645 v1 pith:COYTNJQM submitted 2022-01-25 math.NA cs.NA

classification math.NAcs.NA
keywords methodsystemideamacro--scalematrixmultiscalealgebraiccheaper
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In this paper we propose an idea of constructing a macro--scale matrix system given a micro--scale matrix linear system. Then the macro--scale system is solved at cheaper computing costs. The method uses the idea of the generalized multiscale finite element method based. Some numerical results are presented.

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