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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.24 No.2
- 발행연도
- 2020.6
- 수록면
- 215 - 227 (13page)
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초록· 키워드
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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.
목차
ABSTRACT
1. INTRODUCTION
2. HOMOGENIZATION
3. LOCALIZATION AND SOLUTION DECOMPOSITIONS
4. A MULTISCALE FINITE ELEMENT METHOD
5. NUMERICAL EXPERIMENTS
REFERENCES
참고문헌 (31)
참고문헌 신청
T. Arbogast / 2011 / Homogenization-based mixed multiscale finite elements for problems with anisotropy / Multiscale Modeling and Simulation 9(2):624~653
A. Bensoussan / 1978 / Asymptotic Analysis for periodic Structures / North-Holland
T. J. R. Hughes / 1998 / The variational multiscale method. A paradigm for computational mechanics / Comput. Methods Appl. Mech. Engrg. 166:3~24
J. T. Oden / 1999 / Adaptive hierarchical modeling of heterogeneous structures / Phys. D 133:404~415
Z. Chen / 2003 / A mixed multiscale finite element method for elliptic problems with oscillating coefficients / Math. Comp. 72:541~576
A. Bensoussan / 1978 / Asymptotic Analysis for periodic Structures / North-Holland
T. J. R. Hughes / 1998 / The variational multiscale method. A paradigm for computational mechanics / Comput. Methods Appl. Mech. Engrg. 166:3~24
J. T. Oden / 1999 / Adaptive hierarchical modeling of heterogeneous structures / Phys. D 133:404~415
Z. Chen / 2003 / A mixed multiscale finite element method for elliptic problems with oscillating coefficients / Math. Comp. 72:541~576
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UCI(KEPA) : I410-ECN-0101-2020-410-000855134