Hokkaido Mathematical Journal

JEON Youngmok, PARK Eun-Jae,

Cell boundary element methods for elliptic problems.

Hokkaido Mathematical Journal, 36 (2007) pp.669-685

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Abstract

In this review we summarize the results on the cell boundary element methods (CBE methods) and the multiscale cell boundary element method (MsCBE method) based on papers by Jeon and his colleagues. In the CBE methods, flux is conserved on each cell and normal fluxes on intercell boundaries are continuous for unstructured triangulations. The CBE method can be understood as an finite element version of the finite volume method.

MSC(Primary)35B27
MSC(Secondary)74Q15, 65N30
Uncontrolled KeywordsCBE, FVM, multiscale, MsCBE, MsFEM, NcFEM