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November 2007 Cell boundary element methods for elliptic problems
Youngmok JEON, Eun-Jae PARK
Hokkaido Math. J. 36(4): 669-685 (November 2007). DOI: 10.14492/hokmj/1272848027

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.

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Youngmok JEON. Eun-Jae PARK. "Cell boundary element methods for elliptic problems." Hokkaido Math. J. 36 (4) 669 - 685, November 2007. https://doi.org/10.14492/hokmj/1272848027

Information

Published: November 2007
First available in Project Euclid: 3 May 2010

zbMATH: 1139.65080
MathSciNet: MR2378285
Digital Object Identifier: 10.14492/hokmj/1272848027

Subjects:
Primary: 35B27
Secondary: 65N30, 74Q15

Keywords: CBE, FVM, MsCBE, MsFEM, multiscale, NcFEM

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

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Vol.36 • No. 4 • November 2007
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