메뉴 건너뛰기




Volumn 16, Issue 4, 2000, Pages 365-378

Discontinuous Galerkin approximations for elliptic problems

Author keywords

Diffusion equations; Discontinuous finite elements

Indexed keywords


EID: 0000021553     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1098-2426(200007)16:4<365::AID-NUM2>3.0.CO;2-Y     Document Type: Article
Times cited : (328)

References (19)
  • 1
    • 84966261380 scopus 로고
    • 1 - Discontinuous Galerkin finite element method for conservation laws IV: The multi-dimensional case
    • 1 - discontinuous Galerkin finite element method for conservation laws IV: The multi-dimensional case, Math Comp 54 (1990), 545-581.
    • (1990) Math Comp , vol.54 , pp. 545-581
    • Cockburn, B.1    Hou, S.2    Shu, C.W.3
  • 2
    • 84966246413 scopus 로고
    • 1 - Discontinuous Galerkin finite element method for conservation laws II: General framework
    • 1 - discontinuous Galerkin finite element method for conservation laws II: General framework. Math Comp 52 (1989), 411-453.
    • (1989) Math Comp , vol.52 , pp. 411-453
    • Cockburn, B.1    Shu, C.W.2
  • 4
    • 0038074597 scopus 로고
    • 1-Galerkin methods for a nonlinear Dirichlet problem
    • Springer Lecture Notes in Mathematics, Rome
    • 1-Galerkin methods for a nonlinear Dirichlet problem. Proc Conf Mathematical Aspects of the Finite Element Methods, Springer Lecture Notes in Mathematics, Vol. 606, Rome, 1977, pp. 64-86.
    • (1977) Proc Conf Mathematical Aspects of the Finite Element Methods , vol.606 , pp. 64-86
    • Douglas J., Jr.1
  • 5
    • 0001456343 scopus 로고
    • Interior penalty procedures for elliptic and parabolic Galerkin method
    • Springer-Verlag, Berlin
    • J. Douglas, Jr. and T. Dupont, Interior penalty procedures for elliptic and parabolic Galerkin Method, Lectures Notes in Physics 58, Springer-Verlag, Berlin, 1976.
    • (1976) Lectures Notes in Physics , vol.58
    • Douglas J., Jr.1    Dupont, T.2
  • 6
    • 0001163226 scopus 로고
    • An interior penalty finite element method with discontinuous element
    • D. N. Arnold, An interior penalty finite element method with discontinuous element, SIAM J Numer Anal 19 (1982), 742-760.
    • (1982) SIAM J Numer Anal , vol.19 , pp. 742-760
    • Arnold, D.N.1
  • 7
    • 84904152686 scopus 로고
    • Finite element methods for elliptic equations using nonconforming elements
    • G. A. Baker, Finite element methods for elliptic equations using nonconforming elements, Math Comp 31 (1977), 45-59.
    • (1977) Math Comp , vol.31 , pp. 45-59
    • Baker, G.A.1
  • 8
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for time-dependent convection diffusion problems
    • B. Cockburn and C. W. Shu, The local discontinuous Galerkin method for time-dependent convection diffusion problems, SIAM J Numer Anal 35 (1998), 2440-2463.
    • (1998) SIAM J Numer Anal , vol.35 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.W.2
  • 9
    • 85037492244 scopus 로고
    • Recent developments on the solution of the full Navier-Stokes equations using a discontinuous finite element method
    • M. Morandi Cecchi, et al., (Editors), Venice
    • F. Bassi, G. Mariotti, S. Pedinotti, and S. Rebay, Recent developments on the solution of the full Navier-Stokes equations using a discontinuous finite element method. Proc Ninth Int Conf Finite Elements in Fluids, New Trend and Appl M. Morandi Cecchi, et al., (Editors), Vol. 1, Venice, 1995, pp. 529-539.
    • (1995) Proc Ninth Int Conf Finite Elements in Fluids, New Trend and Appl , vol.1 , pp. 529-539
    • Bassi, F.1    Mariotti, G.2    Pedinotti, S.3    Rebay, S.4
  • 10
    • 0011029223 scopus 로고
    • Discontinuous finite element high order accurate numerical solution of the compressible Navier-Stokes equations
    • V. K. W. Morton, et al. (Editors), Clarendon, Oxford
    • F. Bassi and S. Rebay, Discontinuous finite element high order accurate numerical solution of the compressible Navier-Stokes equations. Proc Conf Numer Meth Fluid Dynam V. K. W. Morton, et al. (Editors), Clarendon, Oxford, 1995, pp. 295-302.
    • (1995) Proc Conf Numer Meth Fluid Dynam , pp. 295-302
    • Bassi, F.1    Rebay, S.2
  • 11
    • 0001416032 scopus 로고    scopus 로고
    • High-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
    • F. Bassi and S. Rebay, High-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations, J Comp Phys 131 (1997), 267-279.
    • (1997) J Comp Phys , vol.131 , pp. 267-279
    • Bassi, F.1    Rebay, S.2
  • 17
    • 0000802762 scopus 로고
    • An elliptic collocation-finite element method with interior penalties
    • M. F. Wheeler, An elliptic collocation-finite element method with interior penalties, SIAM J Numer Anal 15 (1978), 152-161.
    • (1978) SIAM J Numer Anal , vol.15 , pp. 152-161
    • Wheeler, M.F.1
  • 18
    • 84966247716 scopus 로고
    • Polynomial approximation of functions in Sobolev spaces
    • T. Dupont and R. Scott, Polynomial approximation of functions in Sobolev spaces, Math Comp 34 (1980), 441-463.
    • (1980) Math Comp , vol.34 , pp. 441-463
    • Dupont, T.1    Scott, R.2
  • 19
    • 0003212031 scopus 로고
    • Lectures on elliptic boundary value problems
    • Princeton, NJ
    • S. Agmon, Lectures on elliptic boundary value problems, Van Nostrand Mathematical Studies, Princeton, NJ, 1965.
    • (1965) Van Nostrand Mathematical Studies
    • Agmon, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.