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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.12 No.4
- 발행연도
- 2008.12
- 수록면
- 249 - 260 (12page)
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In this work we propose a mixed finite volume method for the Signorini problem which are based on the idea of Keller's finite volume box method. The triangulation may consist of both triangles and quadrilaterals. We choose the first-order nonconforming space for the scalar approximation and the lowest-order Raviart-Thomas vector space for the vector approximation. It will be shown that our mixed finite volume method is equivalent to the standard nonconforming finite element method for the scalar variable with a slightly modified right-hand side, which are crucially used in a priori error analysis.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. MIXED FINITE VOLUME METHOD
4. A PRIORI ERROR ESTIMATES
REFERENCES
참고문헌 (15)
참고문헌 신청
F. Ben Belgacem / 2000 / Numerical simulation of some variational inequalities arisen from unilateral contact problems by the finite element methods / SIAM J. Numer. Anal 37(4):1198~1216
Z. Belhachmi / 2003 / Quadratic finite element approximation of the Signorini problem / Math. Comp 72(241):83~104
F. Ben Belgacem / 2003 / Hybrid finite element methods for the Signorini problem / Math. Comp 72(243):1117~1145
F. Brezzi / 1991 / Mixed and hybrid finite element methods / Springer-Verlag, New-York
F. Brezzi / 1977 / Error estimates for the finite element solution of variational inequalities / Numer. Math 28(4):431~443
Z. Belhachmi / 2003 / Quadratic finite element approximation of the Signorini problem / Math. Comp 72(241):83~104
F. Ben Belgacem / 2003 / Hybrid finite element methods for the Signorini problem / Math. Comp 72(243):1117~1145
F. Brezzi / 1991 / Mixed and hybrid finite element methods / Springer-Verlag, New-York
F. Brezzi / 1977 / Error estimates for the finite element solution of variational inequalities / Numer. Math 28(4):431~443
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