Journal of the Korean Society for Industrial and Applied Mathematics

  • 제24권2호
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  • Pages.215-227
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  • 2020
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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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)
  • 투고 : 2020.06.05
  • 심사 : 2020.06.16
  • 발행 : 2020.06.25
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초록

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.

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과제정보

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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