메뉴 건너뛰기




Volumn 202, Issue 2, 2005, Pages 411-445

A numerical method for solving variable coefficient elliptic equation with interfaces

Author keywords

Elliptic equation; Jump conditions; Non smooth interface; Weak formulation

Indexed keywords

FINITE ELEMENT METHOD;

EID: 10244254997     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.07.016     Document Type: Article
Times cited : (159)

References (16)
  • 1
    • 0032396367 scopus 로고    scopus 로고
    • Finite element methods and their convergence for elliptic and parabolic interface problems
    • Chen Zhiming Zou Jun Finite element methods and their convergence for elliptic and parabolic interface problems Numerische Mathematik 79 1998 175-202
    • (1998) Numerische Mathematik , vol.79 , pp. 175-202
    • Chen, Z.1    Zou, J.2
  • 2
    • 0346837922 scopus 로고    scopus 로고
    • A non-oscillatory Eulerian approach to interfaces in multimaterial flows (The Ghost Fluid Method)
    • R. Fedkiw T. Aslam B. Merriman S. Osher A non-oscillatory Eulerian approach to interfaces in multimaterial flows (The Ghost Fluid Method) J. Comput. Phys. 152 2 1999 457-492
    • (1999) J. Comput. Phys. , vol.152 , Issue.2 , pp. 457-492
    • Fedkiw, R.1    Aslam, T.2    Merriman, B.3    Osher, S.4
  • 3
    • 0037050814 scopus 로고    scopus 로고
    • Second order accurate symmetric discretization of the poisson equation on irregular domains
    • F. Gibou R. Fedkiw L.-T. Cheng M.A. Kang Second order accurate symmetric discretization of the poisson equation on irregular domains J. Comput. Phys. 176 2002 1-23
    • (2002) J. Comput. Phys. , vol.176 , pp. 1-23
    • Gibou, F.1    Fedkiw, R.2    Cheng, L.-T.3    Kang, M.A.4
  • 4
    • 0004088932 scopus 로고
    • Elliptic problems in nonsmooth domains - Monographs and Studies in Mathematics
    • Pitman Advanced Publishing Program. ISSN 0743-0329
    • P. Grisvard, Elliptic problems in nonsmooth domains - Monographs and Studies in Mathematics, Pitman Advanced Publishing Program. ISSN 0743-0329, 1985
    • (1985)
    • Grisvard, P.1
  • 5
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • R.J. LeVeque Z. Li The immersed interface method for elliptic equations with discontinuous coefficients and singular sources SIAM J. Numer. Anal. 31 1994 1019
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1019
    • LeVeque, R.J.1    Li, Z.2
  • 6
    • 0000641836 scopus 로고    scopus 로고
    • A fast iterative algorithm for elliptic interface problems
    • Z. Li A fast iterative algorithm for elliptic interface problems SIAM J. Numer. Anal. 35 1 1998 230-254
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.1 , pp. 230-254
    • Li, Z.1
  • 7
    • 0742271742 scopus 로고    scopus 로고
    • New Cartesian grid methods for interface problems using the finite element formulation
    • Preprint. NCSU CRSC-TR99-12
    • Z. Li, T. Lin, X. Wu, New Cartesian grid methods for interface problems using the finite element formulation, Numerische Mathematik, 9661-98, (2003). Preprint. NCSU CRSC-TR99-12
    • (2003) Numerische Mathematik , pp. 9661-9698
    • Li, Z.1    Lin, T.2    Wu, X.3
  • 8
    • 0001491689 scopus 로고    scopus 로고
    • A boundary condition capturing method for Poisson's equation on irregular domains
    • Xu-Dong Liu Ronald P. Fedkiw Myungjoo Kang A boundary condition capturing method for Poisson's equation on irregular domains J. Comput. Phys. 160 1 2000 151-178
    • (2000) J. Comput. Phys. , vol.160 , Issue.1 , pp. 151-178
    • Liu, X.-D.1    Fedkiw, R.P.2    Kang, M.3
  • 9
    • 0141872535 scopus 로고    scopus 로고
    • Convergence of the Ghost fluid method for elliptic equations with interfaces
    • X.-D. Liu T. Sideris Convergence of the Ghost fluid method for elliptic equations with interfaces Math. Comp. 72 2003
    • (2003) Math. Comp. , vol.72
    • Liu, X.-D.1    Sideris, T.2
  • 10
    • 0021417514 scopus 로고
    • The fast solution of poisson's and the biharmonic equations in irregular domains
    • A. Mayo The fast solution of poisson's and the biharmonic equations in irregular domains SIAM J. Numer. Anal. 21 2 1984 285-299
    • (1984) SIAM J. Numer. Anal. , vol.21 , Issue.2 , pp. 285-299
    • Mayo, A.1
  • 11
    • 0000277604 scopus 로고
    • Fast high order accurate solutions of laplace's equation on irregular domains
    • A. Mayo Fast high order accurate solutions of laplace's equation on irregular domains SIAM J. Sci. Stat. Comput. 6 1 1985 144-157
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , Issue.1 , pp. 144-157
    • Mayo, A.1
  • 12
    • 0010853288 scopus 로고
    • Introduction to the theory of nonlinear elliptic equations
    • Band 52, ISSN 0138-502X
    • J. Necas, Introduction to the theory of nonlinear elliptic equations, Teubner - Texte zur Mathematik. Band 52, ISSN 0138-502X, 1983
    • (1983) Teubner - Texte Zur Mathematik
    • Necas, J.1
  • 13
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • C. Peskin Numerical analysis of blood flow in the heart J. Comput. Phys. 25 1977 220-252
    • (1977) J. Comput. Phys. , vol.25 , pp. 220-252
    • Peskin, C.1
  • 14
    • 0002795289 scopus 로고
    • Improved volume conservation in the computation of flows with immersed elastic boundaries
    • Peskin C. and B. Printz Improved volume conservation in the computation of flows with immersed elastic boundaries J. Comput. Phys. 105 1993 33-46
    • (1993) J. Comput. Phys. , vol.105 , pp. 33-46
    • Peskin, C.1    Printz, B.2
  • 15
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • M. Sussman P. Smereka S. Osher A level set approach for computing solutions to incompressible two-phase flow J. Comput. Phys. 114 1994 146-154
    • (1994) J. Comput. Phys. , vol.114 , pp. 146-154
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 16
    • 10244249310 scopus 로고    scopus 로고
    • A boundary condition capturing multigrid approach to irregular boundary problems
    • Justin W.L. Wan Xu-Dong Liu A boundary condition capturing multigrid approach to irregular boundary problems SIAM J. Sci. Comput. 25 6 2004 1982-2003
    • (2004) SIAM J. Sci. Comput. , vol.25 , Issue.6 , pp. 1982-2003
    • Wan Justin, W.L.1    Liu, X.-D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.