Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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A LOCAL CONSERVATIVE MULTISCALE METHOD FOR ELLIPTIC PROBLEMS WITH OSCILLATING COEFFICIENTS

  • JEON, YOUNGMOK (DEPARTMENT OF MATHEMATICS, AJOU UNIVERSITY) ;
  • PARK, EUN-JAE (DEPARTMENT OF COMPUTATIONAL SCIENCE AND ENGINEERING, YONSEI UNIVERSITY)
  • Received : 2020.06.05
  • Accepted : 2020.06.16
  • Published : 2020.06.25
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Abstract

A new multiscale finite element method for elliptic problems with highly oscillating coefficients are introduced. A hybridization yields a locally flux-conserving numerical scheme for multiscale problems. Our approach naturally induces a homogenized equation which facilitates error analysis. Complete convergence analysis is given and numerical examples are presented to validate our analysis.

Keywords

Acknowledgement

Y. JEON was supported by National Research Foundation of Korea grant funded by the Korea government (2018R1D1A1A09082082). E.-J. PARK was supported by National Research Foundation of Korea grant funded by the Korea government (NRF-2015R1A5A1009350).

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