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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.18 No.1
- 발행연도
- 2014.3
- 수록면
- 51 - 60 (10page)
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초록· 키워드
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The Shortley-Weller method is a basic finite difference method for solving the Poisson equation with Dirichlet boundary condition. In this article, we review the analysis for supra-convergence of the Shortley-Weller method. Though consistency error is first order accurate at some locations, the convergence order is globally second order. We call this increase of the order of accuracy, supra-convergence. Our review is not a simple copy but serves a basic foundation to go toward yet undiscovered analysis for another supra-convergence: we present a partial result for supra-convergence for the gradient of solution.
목차
ABSTRACT
1. INTRODUCTION
2. SUPRA-CONVERGENCE OF SOLUTION
3. SYMMETRIZATION IMPLEMENTATION
4. SUPRA-CONVERGENCE OF GRADIENT
5. CONCLUSION
REFERENCES
참고문헌 (6)
참고문헌 신청
1. [단행본] - P. Ciarlet / 1998 / Introduction to Numerical Linear Algebra and Optimization / Cambridge Texts in Applied Mathematics
2. [학술지(정기간행물)] - F. Gibou / 2002 / A second order accurate symmetric discretization of the Poisson equation on irregular domains / J. Comput. Phys. 176 : 205 ~ 227
3. [학술지(정기간행물)] - Y.-T. Ng / 2009 / An efficient fluid-solid coupling algorithm for single-phase flows / J. Comput. Phys. 228 : 8807 ~ 8829
4. [학술지(정기간행물)] - Y.-T. Ng / 2009 / Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method / J. Sci. Comput. 41 : 300 ~ 320
5. [학술지(정기간행물)] - J. W. Purvis / 1979 / Prediction of critical Mach number for store configurations / AIAA J. 17 : 1170 ~ 1177
2. [학술지(정기간행물)] - F. Gibou / 2002 / A second order accurate symmetric discretization of the Poisson equation on irregular domains / J. Comput. Phys. 176 : 205 ~ 227
3. [학술지(정기간행물)] - Y.-T. Ng / 2009 / An efficient fluid-solid coupling algorithm for single-phase flows / J. Comput. Phys. 228 : 8807 ~ 8829
4. [학술지(정기간행물)] - Y.-T. Ng / 2009 / Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method / J. Sci. Comput. 41 : 300 ~ 320
5. [학술지(정기간행물)] - J. W. Purvis / 1979 / Prediction of critical Mach number for store configurations / AIAA J. 17 : 1170 ~ 1177
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