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Volumn 152, Issue 1-2, 1998, Pages 219-238

Discretization schemes on triangular grids

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; OPTIMIZATION;

EID: 0031672246     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00191-6     Document Type: Article
Times cited : (10)

References (24)
  • 1
    • 0042161544 scopus 로고
    • Logically rectangular mixed methods for groundwater flow and transport on general geometry
    • TR-94-03 Dept. of Compt. Appl. Math., Rice University
    • T. Arbogast, M.F. Wheeler and I. Yotov, Logically rectangular mixed methods for groundwater flow and transport on general geometry, Technical Report, TR-94-03 (1994), Dept. of Compt. Appl. Math., Rice University.
    • (1994) Technical Report
    • Arbogast, T.1    Wheeler, M.F.2    Yotov, I.3
  • 3
    • 0000497851 scopus 로고
    • Bounds for a class of linear functionals with application to Hermite interpolation
    • J.H. Bramble and S.R. Hilbert, Bounds for a class of linear functionals with application to Hermite interpolation, Numer. Math. 16 (1971) 362-369.
    • (1971) Numer. Math. , vol.16 , pp. 362-369
    • Bramble, J.H.1    Hilbert, S.R.2
  • 4
    • 25444445861 scopus 로고    scopus 로고
    • The analysis of multigrid algorithms for cell-centered finite difference methods
    • J.H. Bramble, R.E. Ewing, J.E. Pasciak and J. Shen, The analysis of multigrid algorithms for cell-centered finite difference methods, Adv. Comput. Math. 5(1) (1996) 15-29.
    • (1996) Adv. Comput. Math. , vol.5 , Issue.1 , pp. 15-29
    • Bramble, J.H.1    Ewing, R.E.2    Pasciak, J.E.3    Shen, J.4
  • 5
    • 84966232695 scopus 로고
    • The analysis of multigrid algorithm with nonnested spaces or noninherited quadratic forms
    • J.H. Bramble, J.E. Pasciak and J. Xu, The analysis of multigrid algorithm with nonnested spaces or noninherited quadratic forms. Math. Comput. 56 (1991) 1-34.
    • (1991) Math. Comput. , vol.56 , pp. 1-34
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 7
    • 0040373553 scopus 로고    scopus 로고
    • Multilevel preconditioners for mixed methods for second order elliptic problems
    • Z. Chen, R.E. Ewing, R.D. Lazarov, S. Maliassov and Y. Kuznetsov, Multilevel preconditioners for mixed methods for second order elliptic problems, Numer. Lin. Alg. Appl. 3(5) (1996) 427-453.
    • (1996) Numer. Lin. Alg. Appl. , vol.3 , Issue.5 , pp. 427-453
    • Chen, Z.1    Ewing, R.E.2    Lazarov, R.D.3    Maliassov, S.4    Kuznetsov, Y.5
  • 8
    • 0038475543 scopus 로고
    • Preconditioning of non-conforming finite element approximations of second order elliptic equations
    • I.T. Dimov et. al., eds. World Scientific, Singapore
    • 3) (World Scientific, Singapore, 1994) 101-110.
    • (1994) 3) , pp. 101-110
    • Ewing, R.E.1    Kuznetsov, Y.2    Lazarov, R.D.3    Maliassov, S.4
  • 9
    • 0042161546 scopus 로고
    • Mixed finite element solution of second-order elliptic problems on grids with regular local refinement
    • R. Glowinski, Y. Kuznetsov, G. Meurant, J. Péuiaux and O. Widlund, eds. SIAM Publishers, Philadelphia, PA
    • R.E. Ewing, R.D. Lazarov and P.S. Vassilevski, Mixed finite element solution of second-order elliptic problems on grids with regular local refinement, in: R. Glowinski, Y. Kuznetsov, G. Meurant, J. Péuiaux and O. Widlund, eds., Domain Decomposition Methods for Partial Differential Equations (SIAM Publishers, Philadelphia, PA, 1991) 206-212.
    • (1991) Domain Decomposition Methods for Partial Differential Equations , pp. 206-212
    • Ewing, R.E.1    Lazarov, R.D.2    Vassilevski, P.S.3
  • 10
    • 0026203036 scopus 로고
    • Superconvergence of the velocity along the Gauss lines in mixed finite element methods
    • R.E. Ewing, R.D. Lazarov and J. Wang, Superconvergence of the velocity along the Gauss lines in mixed finite element methods, SIAM J. Numer. Anal. 28 (1991) 1015-1029.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1015-1029
    • Ewing, R.E.1    Lazarov, R.D.2    Wang, J.3
  • 11
    • 0042662606 scopus 로고    scopus 로고
    • Multigrid algorithms for the triangular-cell-centered finite difference schemes
    • S. Margenov and P. Vassilevki, eds. Int. Ass. for Math, and Comput. in Sim. Piscataway, NJ
    • R.E. Ewing, O. Sævareid and J. Shen, Multigrid algorithms for the triangular-cell-centered finite difference schemes, in: S. Margenov and P. Vassilevki, eds., IMACS Series in Computational and Applied Mathematics, Vol. 3, Iterative Methods in Linear Algebra II, Int. Ass. for Math, and Comput. in Sim. (Piscataway, NJ, 1996) 254-269.
    • (1996) IMACS Series in Computational and Applied Mathematics, Vol. 3, Iterative Methods in Linear Algebra II , vol.3 , pp. 254-269
    • Ewing, R.E.1    Sævareid, O.2    Shen, J.3
  • 12
    • 0010000814 scopus 로고
    • Vectorizable preconditioners for mixed finite element solution of second-order elliptic problems
    • R.E. Ewing, J. Shen, and P.S. Vassilevski, Vectorizable preconditioners for mixed finite element solution of second-order elliptic problems, Int. J. Comput. Math. 44 (1992) 313-327.
    • (1992) Int. J. Comput. Math. , vol.44 , pp. 313-327
    • Ewing, R.E.1    Shen, J.2    Vassilevski, P.S.3
  • 13
    • 0042912688 scopus 로고
    • A multigrid algorithm for the cell-centered finite difference scheme
    • NASA Conf. Pub. 3224
    • R.E. Ewing and J. Shen, A multigrid algorithm for the cell-centered finite difference scheme, Sixth Copper Mountain Conference on Multigrid Methods, NASA Conf. Pub. 3224, Part II (1993) 583-592.
    • (1993) Sixth Copper Mountain Conference on Multigrid Methods , Issue.2 PART , pp. 583-592
    • Ewing, R.E.1    Shen, J.2
  • 16
    • 0038893482 scopus 로고
    • Computational aspects of mixed finite element methods
    • R.S. Stepleman, ed. North Holland Publishing Co.
    • R.E. Ewing and M.F. Wheeler, Computational aspects of mixed finite element methods, in: R.S. Stepleman, ed., Numer. Methods for Sci. Comput. (North Holland Publishing Co., 1983) 163-172.
    • (1983) Numer. Methods for Sci. Comput. , pp. 163-172
    • Ewing, R.E.1    Wheeler, M.F.2
  • 18
    • 0001175293 scopus 로고
    • A mixed finite element method for 2nd order elliptic problems
    • Mathematics Aspects of the Finite Element Method, Springer-Verlag
    • P.A. Raviart and J.M. Thomas, A mixed finite element method for 2nd order elliptic problems, Mathematics Aspects of the Finite Element Method, Lecture Notes in Mathematics 606 (Springer-Verlag, 1977) 292-315.
    • (1977) Lecture Notes in Mathematics , vol.606 , pp. 292-315
    • Raviart, P.A.1    Thomas, J.M.2
  • 19
    • 0002650114 scopus 로고
    • Finite element and finite difference methods for continuous flows in porous media
    • R.E. Ewing, ed. SIAM, Philadelphia, PA
    • T.F. Russell and M.F. Wheeler, Finite element and finite difference methods for continuous flows in porous media, in: R.E. Ewing, ed., The Mathematics of Reservoir Simulation (SIAM, Philadelphia, PA, 1983).
    • (1983) The Mathematics of Reservoir Simulation
    • Russell, T.F.1    Wheeler, M.F.2
  • 21
    • 0041451409 scopus 로고    scopus 로고
    • A block finite difference scheme for second-order elliptic problems with discontinuous coefficients
    • J. Shen, A block finite difference scheme for second-order elliptic problems with discontinuous coefficients, SIAM J. Numer. Anal. 33(2) (1996) 686-706.
    • (1996) SIAM J. Numer. Anal. , vol.33 , Issue.2 , pp. 686-706
    • Shen, J.1
  • 22
    • 0001079539 scopus 로고
    • Mixed finite element methods over quadrilaterals
    • I.T. Dimov, B. Sendov and P. Vassilevski, eds. World Scientific, Singapore
    • J. Wang and T. Matthew, Mixed finite element methods over quadrilaterals, in: I.T. Dimov, B. Sendov and P. Vassilevski, eds., Proc. Third Int. Conf. on Advances in Numerical Methods and Applications (World Scientific, Singapore, 1994) 203-214.
    • (1994) Proc. Third Int. Conf. on Advances in Numerical Methods and Applications , pp. 203-214
    • Wang, J.1    Matthew, T.2
  • 23
    • 0001669414 scopus 로고
    • On convergence of block-centered finite difference for elliptic problems
    • A. Wieser and M.F. Wheeler, On convergence of block-centered finite difference for elliptic problems, SIAM J. Numer. Anal. 25 (1988) 351-375.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 351-375
    • Wieser, A.1    Wheeler, M.F.2
  • 24
    • 0001416923 scopus 로고
    • Finite difference schemes on triangular cell-centered grids with local refinement
    • P.S. Vassilevski, S.I. Petrova and R.D. Lazarov, Finite difference schemes on triangular cell-centered grids with local refinement, SIAM J. Sci. Stat. Comput. 6 (1992) 1287-1313.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.6 , pp. 1287-1313
    • Vassilevski, P.S.1    Petrova, S.I.2    Lazarov, R.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.