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논문 기본 정보
- 자료유형
- 학술저널
- 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.10 No.1
- 발행연도
- 2006.6
- 수록면
- 71 - 82 (12page)
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초록· 키워드
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In this paper, we develop and analyze an negative norm first-order system least-squares spectral method for the second-order elliptic boundary value problem. We consider a least-squares functional defined by the sum of the L²- and H<SUP>-1</SUP>-norm of the residual equations. We define a discrete negative norm and then define the discrete negative norm least-squares functional for spectral approximation. The spectral convergence is derived for the proposed method and we provide some numerical results.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. NEGATIVE NORM LEAST-SQUARES METHOD
4. SPECTRAL APPROXIMATION FOR NEGATIVE NORM LEAST-SQUARES
5. NUMERICAL RESULTS
References
참고문헌 (3)
참고문헌 신청
[학술지(정기간행물)] - / 1992 / Approximation Spectrales de Problemes aux Limites Elliptiques
[학술지(정기간행물)] - / 1998 / Finite element methods of least-squares type 40 (4) : 789 ~ 837
[학술지(정기간행물)] - / 1997 / A least-squares approach based on adiscrete minus one inner product for rst order system 66 : 935 ~ 955
[학술지(정기간행물)] - / 1998 / Finite element methods of least-squares type 40 (4) : 789 ~ 837
[학술지(정기간행물)] - / 1997 / A least-squares approach based on adiscrete minus one inner product for rst order system 66 : 935 ~ 955
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UCI(KEPA) : I410-ECN-0101-2009-410-014781692