메뉴 건너뛰기




Volumn 21, Issue 2, 2005, Pages 397-420

An immersed interface method for anisotropic elliptic problems on irregular domains in 2D

Author keywords

Anisotropic Laplacian; Gerschgorin criterion; Immersed interface method; Linear programming

Indexed keywords


EID: 14744294384     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.20051     Document Type: Article
Times cited : (12)

References (15)
  • 1
    • 0028485385 scopus 로고
    • The immersed interface methods for elliptic equations with discontinuous coefficients and singular sources
    • 1 R. J. LeVeque and Z. Li, The immersed interface methods 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
  • 2
    • 0034775815 scopus 로고    scopus 로고
    • Immersed interface methods for Neumann and related problems in two and three dimensions
    • 2 A. L. Fogelson and J. P. Keener, Immersed interface methods for Neumann and related problems in two and three dimensions, SIAM J Sci Comput 22 (5) (2000), 1630.
    • (2000) SIAM J Sci Comput , vol.22 , Issue.5 , pp. 1630
    • Fogelson, A.L.1    Keener, J.P.2
  • 3
    • 0003579391 scopus 로고
    • Approximate methods for higher analysis
    • 3 L. Kantorovich and V. Krylov, Approximate methods for higher analysis, Noordhoff Ltd., Netherlands, 1958.
    • (1958)
    • Kantorovich, L.1    Krylov, V.2
  • 4
    • 70350595266 scopus 로고
    • Approximation of solutions of mixed boundary value problems for Poisson's equation by finite differences
    • 4 J. H. Bramble and B. E. Hubbard, Approximation of solutions of mixed boundary value problems for Poisson's equation by finite differences, JACM 12 (1) (1965), 114.
    • (1965) JACM , vol.12 , Issue.1 , pp. 114
    • Bramble, J.H.1    Hubbard, B.E.2
  • 5
    • 85120587987 scopus 로고
    • On the numerical solution of problems allowing mixed boundary conditions
    • 5 D. Greenspan, On the numerical solution of problems allowing mixed boundary conditions, Notices Am Math Soc 10 (1963), 92.
    • (1963) Notices Am Math Soc , vol.10 , pp. 92
    • Greenspan, D.1
  • 6
    • 0001585248 scopus 로고
    • On the formulation of finite‐difference analogues of the Dirichlet problem for Poisson's equation
    • 6 J. H. Bramble and B. E. Hubbard, On the formulation of finite‐difference analogues of the Dirichlet problem for Poisson's equation, Numer Math 4 (1962), 313.
    • (1962) Numer Math , vol.4 , pp. 313
    • Bramble, J.H.1    Hubbard, B.E.2
  • 7
    • 0005654112 scopus 로고
    • The numerical solution of Laplace's equation
    • 7 G. Shortley and R. Weller, The numerical solution of Laplace's equation, J Appl Phys 9 (1938), 334.
    • (1938) J Appl Phys , vol.9 , pp. 334
    • Shortley, G.1    Weller, R.2
  • 8
    • 0003421824 scopus 로고
    • Finite‐difference methods for partial differential equations
    • 8 G. E. Forsythe and W. R. Wasow, Finite‐difference methods for partial differential equations, John Wiley & Sons, Inc., New York, 1960.
    • (1960)
    • Forsythe, G.E.1    Wasow, W.R.2
  • 9
    • 0005654108 scopus 로고
    • A theorem on error estimation for finite difference analogues of the Dirichlet problem for elliptic equations
    • 9 J. H. Bramble and B. E. Hubbard, A theorem on error estimation for finite difference analogues of the Dirichlet problem for elliptic equations, Contrib Differ Eq 2 (1963), 319.
    • (1963) Contrib Differ Eq , vol.2 , pp. 319
    • Bramble, J.H.1    Hubbard, B.E.2
  • 10
    • 0021417514 scopus 로고
    • The fast solution of Poisson's and the biharmonic equations on irregular regions
    • 10 A. Mayo, The fast solution of Poisson's and the biharmonic equations on irregular regions, SIAM J Numer Anal 21 (1984), 285.
    • (1984) SIAM J Numer Anal , vol.21 , pp. 285
    • Mayo, A.1
  • 11
    • 0003679828 scopus 로고
    • Numerical solution of partial differential equations: an introduction
    • 11 K. W. Morton and D. F. Mayers, Numerical solution of partial differential equations: an introduction, Cambridge University Press, Great Britain, 1994.
    • (1994)
    • Morton, K.W.1    Mayers, D.F.2
  • 12
    • 0036208213 scopus 로고    scopus 로고
    • Maximum principle preserving schemes for interface problems with discontinuous coefficients
    • 12 Z. Li and K. Ito, Maximum principle preserving schemes for interface problems with discontinuous coefficients, SIAM SISC 23 (2001), 339.
    • (2001) SIAM SISC , vol.23 , pp. 339
    • Li, Z.1    Ito, K.2
  • 13
    • 1842619494 scopus 로고    scopus 로고
    • A numerical method for solving anisotropic elliptic boundary value problems on irregular domains in two and three dimensions
    • 13 M. A. Dumett, A numerical method for solving anisotropic elliptic boundary value problems on irregular domains in two and three dimensions, Ph.D. Thesis, University of Utah, 2001.
    • (2001)
    • Dumett, M.A.1
  • 14
    • 0003424374 scopus 로고    scopus 로고
    • Numerical linear algebra
    • 14 L. N. Trefethen and D. Bau, Numerical linear algebra, SIAM, Philadelphia, 1997.
    • (1997)
    • Trefethen, L.N.1    Bau, D.2
  • 15
    • 0004273452 scopus 로고
    • Linear programming
    • 15 G. Hadley, Linear programming, Addison‐Wesley Publishing Company Inc., Reading, MA, 1962.
    • (1962)
    • Hadley, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.