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Volumn 103, Issue 1, 2006, Pages 129-149

Analysis of a Stokes interface problem

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EID: 33644753069     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0646-x     Document Type: Article
Times cited : (64)

References (29)
  • 1
    • 0000024779 scopus 로고
    • The finite element method for elliptic problems with discontinuous coefficients
    • Babuska, I.: The finite element method for elliptic problems with discontinuous coefficients. Computing 5, 2-7-213 (1970)
    • (1970) Computing , vol.5
    • Babuska, I.1
  • 2
    • 0028483749 scopus 로고
    • Special finite element methods for a class of second order elliptic problems with rough coefficients
    • Babuska, I., Caloz, C., Osborn, J.: Special finite element methods for a class of second order elliptic problems with rough coefficients. SIAM J. Numer. Anal. 31, 945-981 (1994)
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 945-981
    • Babuska, I.1    Caloz, C.2    Osborn, J.3
  • 3
    • 34249955392 scopus 로고
    • A class of iterative methods for solving saddle point problems
    • Bank, R.B., Welfert, B.D., and Yserentant, H.: A class of iterative methods for solving saddle point problems. Numer. Math. 56, 645-666 (1990)
    • (1990) Numer. Math. , vol.56 , pp. 645-666
    • Bank, R.B.1    Welfert, B.D.2    Yserentant, H.3
  • 4
    • 0039608629 scopus 로고    scopus 로고
    • Adaptive finite element methods for elliptic equations with nonsmooth coefficients
    • Beruardi, C., Verfürth, R.: Adaptive finite element methods for elliptic equations with nonsmooth coefficients. Numer. Math. 85, 579-608 (2000)
    • (2000) Numer. Math. , vol.85 , pp. 579-608
    • Beruardi, C.1    Verfürth, R.2
  • 5
    • 28144462923 scopus 로고
    • A continuum method for modeling surface tension
    • Brackbill, J.U., Kothe, D.B., Zemach, C.: A continuum method for modeling surface tension. J. Comput. Phys. 100, 335-354 (1992)
    • (1992) J. Comput. Phys. , vol.100 , pp. 335-354
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 6
    • 21444439361 scopus 로고    scopus 로고
    • A finite element method for interface problems in domains with smooth boundaries and interfaces
    • Bramble, J.H., King, J.T.: A finite element method for interface problems in domains with smooth boundaries and interfaces. Advances in Comp. Math. 6, 109-138 (1996)
    • (1996) Advances in Comp. Math. , vol.6 , pp. 109-138
    • Bramble, J.H.1    King, J.T.2
  • 7
    • 0001341650 scopus 로고    scopus 로고
    • Analysis of the inexact Uzawa algorithm for saddle point problems
    • Bramble, J.H., Pasciak, J.E., Vassilev, A.T.: Analysis of the inexact Uzawa algorithm for saddle point problems. SIAM J. Numer. Anal. 34, 1072-1092 (1997)
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1072-1092
    • Bramble, J.H.1    Pasciak, J.E.2    Vassilev, A.T.3
  • 9
    • 84966255975 scopus 로고
    • Convergence estimates for multigrid algorithms without regularity assumptions
    • Bramble, J.H., Pasciak, J.E., Wang, J., Xu, J.: Convergence estimates for multigrid algorithms without regularity assumptions. Math. Comp. 57, 23-45 (1991)
    • (1991) Math. Comp. , vol.57 , pp. 23-45
    • Bramble, J.H.1    Pasciak, J.E.2    Wang, J.3    Xu, J.4
  • 12
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problems
    • P.O. Ciarlet, J.L. Lions (eds.) Elsevier Science
    • Ciarlet, P.G.: Basic Error Estimates for Elliptic Problems. In: P.O. Ciarlet, J.L. Lions (eds.) Handbook of Numerical Analysis, Vol. II. Elsevier Science, 1991, pp. 17-351
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 17-351
    • Ciarlet, P.G.1
  • 14
    • 0030584607 scopus 로고    scopus 로고
    • Eulerian capturing methods based on a level set formulation for incompressible fluid interfaces
    • Chang, Y.C., Hou, T.Y., Merriman, B., Osher, S.: Eulerian capturing methods based on a level set formulation for incompressible fluid interfaces. J. Comput. Phys. 124, 449-464 (1996)
    • (1996) J. Comput. Phys. , vol.124 , pp. 449-464
    • Chang, Y.C.1    Hou, T.Y.2    Merriman, B.3    Osher, S.4
  • 15
    • 0032396367 scopus 로고    scopus 로고
    • Finite element method and its convergence for elliptic and parabolic interfac problems
    • Chen, Z., Zou, J.: Finite element method and its convergence for elliptic and parabolic interfac problems. Numer. Math. 79, 175-202 (1998)
    • (1998) Numer. Math. , vol.79 , pp. 175-202
    • Chen, Z.1    Zou, J.2
  • 16
    • 0028741633 scopus 로고
    • Inexact and preconditioned Uzawa algorithms for saddle point problems
    • Elman, H.C., Golub, G.H.: Inexact and preconditioned Uzawa algorithms for saddle point problems. SIAM J. Numer. Anal. 31, 1645-1661 (1994)
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1645-1661
    • Elman, H.C.1    Golub, G.H.2
  • 18
  • 20
    • 0000653947 scopus 로고    scopus 로고
    • Level set methods: An overview and some recent results
    • Osher, S., Fedkiw, R.P.: Level set methods: An overview and some recent results. J. Comput. Phys. 169, 463-502 (2001)
    • (2001) J. Comput. Phys. , vol.169 , pp. 463-502
    • Osher, S.1    Fedkiw, R.P.2
  • 21
    • 0036104046 scopus 로고    scopus 로고
    • A posteriori error estimators for elliptic equations with discontinuous diffusion coefficients
    • Petzoldt, M.: A posteriori error estimators for elliptic equations with discontinuous diffusion coefficients. Advances in Computational Mathematics 16, 47-75 (2002)
    • (2002) Advances in Computational Mathematics , vol.16 , pp. 47-75
    • Petzoldt, M.1
  • 22
    • 0242308001 scopus 로고    scopus 로고
    • Optimal a priori estimates for interface problems
    • Plum, M., Wieners, C.: Optimal a priori estimates for interface problems. Numer. Math. 95, 735-759 (2003)
    • (2003) Numer. Math. , vol.95 , pp. 735-759
    • Plum, M.1    Wieners, C.2
  • 23
    • 33644784295 scopus 로고    scopus 로고
    • Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs
    • E. Bänsch (ed.) Challenges in Scientific Computing - CISC 2002.
    • Powell, C., Silvester, D.: Black-box preconditioning for mixed formulation of self-adjoint elliptic PDEs. Tn: E. Bänsch (ed.) Challenges in Scientific Computing - CISC 2002. Lecture Notes in Computational Science and Engineering, Vol. 35, 2003, pp. 268-285
    • (2003) Lecture Notes in Computational Science and Engineering , vol.35 , pp. 268-285
    • Powell, C.1    Silvester, D.2
  • 24
    • 0001464667 scopus 로고
    • A preconditioned iterative method for saddlepoint problems
    • Rusten, T., Winther, R.: A preconditioned iterative method for saddlepoint problems. SIAM J. Matrix Anal. Appl. 13, 887-904 (1992)
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 887-904
    • Rusten, T.1    Winther, R.2
  • 25
    • 0028517184 scopus 로고
    • Fast iterative solution of stabilised stokes systems, part II: Using general block preconditioners
    • Silvester, D., Wathen, A.: Fast iterative solution of stabilised stokes systems, part II: using general block preconditioners. SIAM J. Numer. Anal. 31, 1352-1367 (1994)
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1352-1367
    • Silvester, D.1    Wathen, A.2
  • 26
    • 34447258102 scopus 로고    scopus 로고
    • A finite element based level-set method for multiphase flow applications
    • Tornberg, A.-K., Engquist, B.: A finite element based level-set method for multiphase flow applications. Comput. Visual. Sci. 3, 93-101 (2000)
    • (2000) Comput. Visual. Sci. , vol.3 , pp. 93-101
    • Tornberg, A.-K.1    Engquist, B.2
  • 27
    • 0000021772 scopus 로고
    • Realistic eigenvalues bounds for the Galerkin mass matrix
    • Wathen, A.: Realistic eigenvalues bounds for the Galerkin mass matrix. IMA J. Numer. Anal. 7, 449-457 (1987)
    • (1987) IMA J. Numer. Anal. , vol.7 , pp. 449-457
    • Wathen, A.1
  • 28
    • 0000760561 scopus 로고
    • Two preconditioners based on the multi-level splitting of finite element spaces
    • Yserentant, H.: Two preconditioners based on the multi-level splitting of finite element spaces. Numer. Math. 58, 163-184 (1990)
    • (1990) Numer. Math. , vol.58 , pp. 163-184
    • Yserentant, H.1
  • 29
    • 0036013525 scopus 로고    scopus 로고
    • Analysis of iterative methods for saddle point problems: A unified approach
    • Zulehner, W.: Analysis of iterative methods for saddle point problems: A unified approach. Math. Comp. 71, 479-505 (2001)
    • (2001) Math. Comp. , vol.71 , pp. 479-505
    • Zulehner, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.