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Volumn 31, Issue 3, 1996, Pages 9-17

A note on immersed interface method for three-dimensional elliptic equations

Author keywords

3d elliptic equation; Cartesian grid; Delta functions; Discontinuous coefficients; Finite difference methods; Immersed interface method; Irregular interface; Singular source term

Indexed keywords


EID: 0003050917     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(95)00202-2     Document Type: Article
Times cited : (44)

References (13)
  • 1
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    • 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
  • 3
    • 33749535785 scopus 로고
    • An unsplit, higher order godunov method for scalar conservation laws in multiple dimensions
    • J.B. Bell, C.N. Dawson, and G.R. Shubin, An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions, J. Comput. Phys. 74, 1-24 (1988).
    • (1988) J. Comput. Phys. , vol.74 , pp. 1-24
    • Bell, J.B.1    Dawson, C.N.2    Shubin, G.R.3
  • 4
    • 0021594353 scopus 로고
    • An analysis of the grid orientation effect in numerical simulation of miscible displacement
    • G.R. Shubin and J.B. Bell, An analysis of the grid orientation effect in numerical simulation of miscible displacement, Comp. Meth. Appl. Mech. Eng. 47, 47-71 (1984).
    • (1984) Comp. Meth. Appl. Mech. Eng. , vol.47 , pp. 47-71
    • Shubin, G.R.1    Bell, J.B.2
  • 8
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • S.O. Unverdi and G. Tryggvason, A front-tracking method for viscous, incompressible, multi-fluid flows, J. Comp. Phys. 100, 25-37 (1992).
    • (1992) J. Comp. Phys. , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2
  • 9
    • 0002969763 scopus 로고
    • Analysis of material interface discontinuities and superconvergent fluxes in finite difference theory
    • R.J. MacKinnon and G.F. Carey, Analysis of material interface discontinuities and superconvergent fluxes in finite difference theory, J. Comput. Phys. 75, 151-167 (1988).
    • (1988) J. Comput. Phys. , vol.75 , pp. 151-167
    • MacKinnon, R.J.1    Carey, G.F.2
  • 10
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • C.S. Peskin, Numerical analysis of blood flow in the heart, J. Comput. Phys. 25, 220-252 (1977).
    • (1977) J. Comput. Phys. , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 11
    • 0002818291 scopus 로고
    • Lectures on mathematical aspects of physiology
    • C.S. Peskin, Lectures on mathematical aspects of physiology, Lectures in Appl. Math. 19, 69-107 (1981).
    • (1981) Lectures in Appl. Math. , vol.19 , pp. 69-107
    • Peskin, C.S.1
  • 12
    • 0021417514 scopus 로고
    • The fast solution of poisson's and the biharmonic equations on irregular regions
    • A. Mayo, The fast solution of Poisson's and the biharmonic equations on irregular regions, SIAM J. Num. Anal. 21, 285-299 (1984).
    • (1984) SIAM J. Num. Anal. , vol.21 , pp. 285-299
    • Mayo, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.