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논문 기본 정보
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- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.20 No.2
- 발행연도
- 2016.6
- 수록면
- 137 - 150 (14page)
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초록· 키워드
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In this paper we analyze an a posteriori error estimator based on flux recovery for lowest-order finite element discretizations of elliptic interface problems. The flux recovery considered here is based on averaging the discrete normal fluxes and/or tangential derivatives at midpoints of edges with weight factors adapted to discontinuous coefficients. It is shown that the error estimator based on this flux recovery is equivalent to the error estimator of Bernardi and Verfürth based on the standard edge residuals uniformly with respect to jumps of the coefficient between subdomains. Moreover, as a byproduct, we obtain slightly modified weight factors in the edge residual estimator which are expected to produce more accurate results.
목차
ABSTRACT
1. INTRODUCTION
2. NOTATION AND FINITE ELEMENT METHODS
3. EDGE RESIDUAL ERROR ESTIMATORS
4. RECOVERY-BASED ERROR ESTIMATOR
5. NUMERICAL RESULTS
REFERENCES
참고문헌 (14)
참고문헌 신청
[학술지(정기간행물)] - C. Bernardi / 2000 / Adaptive finite element methods for elliptic equations with non-smooth coefficients / Numer. Math 85 : 579 ~ 608
[학술지(정기간행물)] - M. Petzoldt / 2002 / A posteriori error estimators for elliptic equations with discontinuous coefficients / Adv. Comput. Math 16 : 47 ~ 75
[학술지(정기간행물)] - C. Carstensen / 1999 / Edge residuals dominate a posteriori error estimates for low order finite element methods / SIAM J. Numer. Anal 36 : 1571 ~ 1587
[학술지(정기간행물)] - Z. Cai / 2009 / Recovery-based error estimator for interface problems: conforming linear elements / SIAM J. Numer. Anal 47 : 2132 ~ 2156
[학술지(정기간행물)] - Z. Cai / 2010 / Recovery-based error estimators for interface problems: mixed and nonconforming finite elements / SIAM J. Numer. Anal 48 : 30 ~ 52
[학술지(정기간행물)] - M. Petzoldt / 2002 / A posteriori error estimators for elliptic equations with discontinuous coefficients / Adv. Comput. Math 16 : 47 ~ 75
[학술지(정기간행물)] - C. Carstensen / 1999 / Edge residuals dominate a posteriori error estimates for low order finite element methods / SIAM J. Numer. Anal 36 : 1571 ~ 1587
[학술지(정기간행물)] - Z. Cai / 2009 / Recovery-based error estimator for interface problems: conforming linear elements / SIAM J. Numer. Anal 47 : 2132 ~ 2156
[학술지(정기간행물)] - Z. Cai / 2010 / Recovery-based error estimators for interface problems: mixed and nonconforming finite elements / SIAM J. Numer. Anal 48 : 30 ~ 52
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UCI(KEPA) : I410-ECN-0101-2017-410-000880290