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Volumn 10, Issue 5, 2003, Pages 783-808

The immersed interface method for elasticity problems with interfaces

Author keywords

Elasticity; Finite differences; Interfaces; Jump conditions; The immersed interface method

Indexed keywords


EID: 4544251195     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (37)

References (23)
  • 1
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    • Mir Publishers Moscow. Revised from the 1976 Russian edition by M. Konyaeva
    • Yu. A. Amenzade. Theory of Elasticity. Mir Publishers Moscow, 1979. Revised from the 1976 Russian edition by M. Konyaeva.
    • (1979) Theory of Elasticity
    • Amenzade, Yu.A.1
  • 2
    • 51249188112 scopus 로고
    • Surface morphology development during stress corrosion cracking: Part I: Via surface diffusion
    • R. J. Asaro and W. A. Tiller. Surface morphology development during stress corrosion cracking: Part I: via surface diffusion. Metall. Trans., 3:1789-1796, 1972.
    • (1972) Metall. Trans. , vol.3 , pp. 1789-1796
    • Asaro, R.J.1    Tiller, W.A.2
  • 10
    • 51649144039 scopus 로고
    • The stress driven rearrangement instability in ellastic crystals: Mathematical models and physical manifestations
    • M. A. Grinfeld. The stress driven rearrangement instability in ellastic crystals: mathematical models and physical manifestations. Nonlinear Sci., 3:35-83, 1993.
    • (1993) Nonlinear Sci. , vol.3 , pp. 35-83
    • Grinfeld, M.A.1
  • 12
    • 84959624934 scopus 로고
    • Numerical solutions to free boundary problems
    • T.Y. Hou. Numerical solutions to free boundary problems. Acta Numerica, pages 335-415, 1995.
    • (1995) Acta Numerica , pp. 335-415
    • Hou, T.Y.1
  • 13
    • 0000167670 scopus 로고    scopus 로고
    • Microstructrual evolution in inhomogeneous elastic media
    • H.-J. Jou, H. Leo, and J. S. Lowengrub. Microstructrual evolution in inhomogeneous elastic media. J. Comp. Phy., 131(1):109-148, 1997.
    • (1997) J. Comp. Phy. , vol.131 , Issue.1 , pp. 109-148
    • Jou, H.-J.1    Leo, H.2    Lowengrub, J.S.3
  • 15
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • R. J. LeVeque and Z. Li. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal., 31:1019-1044, 1994.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1019-1044
    • LeVeque, R.J.1    Li, Z.2
  • 17
    • 0036208213 scopus 로고    scopus 로고
    • Maximum principle preserving schemes for interface problems with discontinuous coefficients
    • Z. Li and K. Ito. Maximum principle preserving schemes for interface problems with discontinuous coefficients. SIAM J. Sci. Comput., 23(1):339-361, 2001.
    • (2001) SIAM J. Sci. Comput. , vol.23 , Issue.1 , pp. 339-361
    • Li, Z.1    Ito, K.2
  • 22
    • 0009853243 scopus 로고    scopus 로고
    • The explicit-jump immersed interface method: Finite difference methods for PDEs with piecewise smooth solutions
    • A. Wiegmann and K. P. Pube. The explicit-jump immersed interface method: Finite difference methods for PDEs with piecewise smooth solutions. SIAM J. Numer. Anal., 37(3):827-862, 2000.
    • (2000) SIAM J. Numer. Anal. , vol.37 , Issue.3 , pp. 827-862
    • Wiegmann, A.1    Pube, K.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.