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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.16 No.1
- 발행연도
- 2012.3
- 수록면
- 1 - 13 (13page)
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In this paper we present an a posteriori error estimator for the stabilized P1 nonconforming finite element method of the linear elasticity problem based on a nonsymmetric H(div)-conforming approximation of the stress tensor in the first-order Raviart-Thomas space. By combining the equilibrated residual method and the hypercircle method, it is shown that the error estimator gives a fully computable upper bound on the actual error. Numerical results are provided to confirm the theory and illustrate the effectiveness of our error estimator.
목차
ABSTRACT
1. INTRODUCTION
2. STABILIZED P1 NONCONFORMING FEM AND KORN’S INEQUALITY
3. H(div)-CONFORMING APPROXIMATION OF STRESS TENSOR
4. A POSTERIORI ERROR ESTIMATION
5. NUMERICAL RESULTS
REFERENCES
참고문헌 (12)
참고문헌 신청
R. Verf¨urth / 1999 / A review of a posteriori error estimation techniques for elasticity problems / Comput. Methods Appl. Mech. Engrg. 176:419~440
S. Nicaise / 2008 / An a posteriori error estimator for the Lam´e equation based on equilibrated fluxes / IMA J. Numer. Anal. 28:331~353
M. Ainsworth / 2010 / Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity / Internat. J. Numer. Methods Engrg. 82:1114~1157
H.-C. Lee / 2010 / A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem / Comput. Methods Appl. Mech. Engrg. 199:2903~2912
P. Hansbo / 2003 / Discontinuous Galerkin and the Crouzeix–Raviart element: application to elasticity / M2AN Math. Model. Numer. Anal. 37:63~72
S. Nicaise / 2008 / An a posteriori error estimator for the Lam´e equation based on equilibrated fluxes / IMA J. Numer. Anal. 28:331~353
M. Ainsworth / 2010 / Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity / Internat. J. Numer. Methods Engrg. 82:1114~1157
H.-C. Lee / 2010 / A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem / Comput. Methods Appl. Mech. Engrg. 199:2903~2912
P. Hansbo / 2003 / Discontinuous Galerkin and the Crouzeix–Raviart element: application to elasticity / M2AN Math. Model. Numer. Anal. 37:63~72
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UCI(KEPA) : I410-ECN-0101-2013-410-001705303