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논문 기본 정보
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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.21 No.3
- 발행연도
- 2017.9
- 수록면
- 109 - 124 (16page)
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초록· 키워드
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The numerical solution of the Stokes equation with discontinuous viscosity and singular force term is challenging, due to the discontinuity of pressure, non-smoothness of velocity, and coupled discontinuities along interface.In this paper, we give an efficient algorithm to solve this problem by employing spectral Legendre and Chebyshev approximations.First, we present the algorithm for a problem defined in rectangular domain with straight line interface. Then it is generalized to a domain with smooth curve boundary and interface by employing spectral element method. Numerical experiments demonstrate the accuracy and efficiency of our algorithm and its spectral convergence.
목차
ABSTRACT
1. INTRODUCTION
2. INTERFACE CONDITIONS
3. PSEUDO-SPECTRAL METHOD
4. NUMERICAL RESULTS
5. CONCLUDING REMARKS
REFERENCES
참고문헌 (19)
참고문헌 신청
[단행본] - C. Bernardi / 1992 / Approximation Spectrales de Problemes aux Limites Elliptiques / Springer-Verlag
[단행본] - C. Canuto / 1988 / Spectral Methods in Fluid Dynamics / Springer-Verlag
[학술지(정기간행물)] - W.J. Gordon / 1973 / Transfinite element methods: Blending function interpolation over arbitrary curved element domains / Numer. Math 21 : 109 ~ 129
[학술지(정기간행물)] - W.J. Gordon / 1973 / Geometric aspects of the finite element method: construction of curvilinear coordinate systems and their application to mesh generation / Int. J. Numer. Meth. Eng 7 : 461 ~ 477
[학술지(정기간행물)] - P. Hessari / 2014 / Numerical solution for elliptic interface problems using spectral element collocation method / Abstract and Applied Analysis 2014 : 780769 ~
[단행본] - C. Canuto / 1988 / Spectral Methods in Fluid Dynamics / Springer-Verlag
[학술지(정기간행물)] - W.J. Gordon / 1973 / Transfinite element methods: Blending function interpolation over arbitrary curved element domains / Numer. Math 21 : 109 ~ 129
[학술지(정기간행물)] - W.J. Gordon / 1973 / Geometric aspects of the finite element method: construction of curvilinear coordinate systems and their application to mesh generation / Int. J. Numer. Meth. Eng 7 : 461 ~ 477
[학술지(정기간행물)] - P. Hessari / 2014 / Numerical solution for elliptic interface problems using spectral element collocation method / Abstract and Applied Analysis 2014 : 780769 ~
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