메뉴 건너뛰기




Volumn 18, Issue 7, 2005, Pages 833-841

A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations

Author keywords

A posteriori error estimates; Convection diffusion equations; Duality techniques; Local discontinuous Galerkin; Non symmetric interior penalty

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; POLYNOMIALS; PROBLEM SOLVING;

EID: 18144401330     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2004.05.019     Document Type: Article
Times cited : (32)

References (19)
  • 1
    • 0002084927 scopus 로고    scopus 로고
    • The development of discontinuous Galerkin methods
    • B. Cockburn G. Karniadakis C. Shu Springer-Verlag Berlin
    • B. Cockburn, G. Karniadakis, and C. Shu The development of discontinuous Galerkin methods B. Cockburn G. Karniadakis C. Shu Discontinuous Galerkin Methods 2000 Springer-Verlag Berlin
    • (2000) Discontinuous Galerkin Methods
    • Cockburn, B.1    Karniadakis, G.2    Shu, C.3
  • 2
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for time-dependent convection-diffusion systems
    • B. Cockburn, and C.-W. Shu The local discontinuous Galerkin method for time-dependent convection-diffusion systems SIAM J. Numer. Anal. 35 1998
    • (1998) SIAM J. Numer. Anal. , vol.35
    • Cockburn, B.1    Shu, C.-W.2
  • 3
    • 0345062335 scopus 로고    scopus 로고
    • A discontinuous hp finite element method for convection-diffusion problems
    • C.E. Baumann, and J.T. Oden A discontinuous hp finite element method for convection-diffusion problems Comput. Meth. Appl. Mech. Engrg. 175 3-4 1999 311 341
    • (1999) Comput. Meth. Appl. Mech. Engrg. , vol.175 , Issue.34 , pp. 311-341
    • Baumann, C.E.1    Oden, J.T.2
  • 4
    • 0035499968 scopus 로고    scopus 로고
    • A priori error estimates for interior penalty versions of local discontinuous Galerkin methods applied to transport equations
    • C. Dawson, and J. Proft A priori error estimates for interior penalty versions of local discontinuous Galerkin methods applied to transport equations Numer. Methods Partial Differential Equations 17 6 2001 545 564
    • (2001) Numer. Methods Partial Differential Equations , vol.17 , Issue.6 , pp. 545-564
    • Dawson, C.1    Proft, J.2
  • 5
    • 0036013520 scopus 로고    scopus 로고
    • An optimal a priori error estimate for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems
    • P. Castillo, B. Cockburn, D. Schotzau, and C. Schwab An optimal a priori error estimate for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems Math. Comp. 71 238 2002 455 478
    • (2002) Math. Comp. , vol.71 , Issue.238 , pp. 455-478
    • Castillo, P.1    Cockburn, B.2    Schotzau, D.3    Schwab, C.4
  • 6
    • 0037474430 scopus 로고    scopus 로고
    • Energy norm a posteriori error estimation for discontinuous Galerkin methods
    • R. Becker, P. Hansbo, and M.G. Larson Energy norm a posteriori error estimation for discontinuous Galerkin methods Comput. Methods Appl. Mech. Engrg. 192 2003 723 733
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , pp. 723-733
    • Becker, R.1    Hansbo, P.2    Larson, M.G.3
  • 7
    • 11044220115 scopus 로고    scopus 로고
    • A posteriori error estimates for a discontinuous Galerkin approximation of second order elliptic problems
    • O.A. Karakashian, and F. Pascal A posteriori error estimates for a discontinuous Galerkin approximation of second order elliptic problems SIAM J. Numer. Anal. 41 6 2003 2374 2399
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.6 , pp. 2374-2399
    • Karakashian, O.A.1    Pascal, F.2
  • 8
    • 10444236497 scopus 로고    scopus 로고
    • Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator
    • P. Houston, I. Perugia, and D. Schotzau Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator Comput. Methods Appl. Mech. Engrg. 194 2005 499 510
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 499-510
    • Houston, P.1    Perugia, I.2    Schotzau, D.3
  • 9
    • 0041823208 scopus 로고    scopus 로고
    • A posteriori error estimates and mesh adaptation strategy for discontinuous Galerkin methods applied to diffusion problems
    • B. Rivière, and M.F. Wheeler A posteriori error estimates and mesh adaptation strategy for discontinuous Galerkin methods applied to diffusion problems Comput. Math. Appl. 46 1 2003 141 163
    • (2003) Comput. Math. Appl. , vol.46 , Issue.1 , pp. 141-163
    • Rivière, B.1    Wheeler, M.F.2
  • 10
    • 0000451632 scopus 로고    scopus 로고
    • A posteriori error estimation for adaptive discontinuous Galerkin approximations of hyperbolic systems
    • B. Cockburn G. Karniadakis C. Shu Springer-Verlag Berlin
    • M. Larson, and T. Barth A posteriori error estimation for adaptive discontinuous Galerkin approximations of hyperbolic systems B. Cockburn G. Karniadakis C. Shu Discontinuous Galerkin Methods 2000 Springer-Verlag Berlin
    • (2000) Discontinuous Galerkin Methods
    • Larson, M.1    Barth, T.2
  • 11
    • 0001581452 scopus 로고    scopus 로고
    • Hp-dgfem for partial differential equations with non-negative characteristic form
    • B. Cockburn G. Karniadakis C. Shu Springer-Verlag Berlin
    • E. Süli, C. Schwab, and P. Houston hp-dgfem for partial differential equations with non-negative characteristic form B. Cockburn G. Karniadakis C. Shu Discontinuous Galerkin Methods 2000 Springer-Verlag Berlin
    • (2000) Discontinuous Galerkin Methods
    • Süli, E.1    Schwab, C.2    Houston, P.3
  • 12
    • 0037056467 scopus 로고    scopus 로고
    • Hp-Discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity
    • P. Houston, B. Senior, and E. Süli hp-Discontinuous Galerkin finite element methods for hyperbolic problems: Error analysis and adaptivity Internat. J. Numer. Methods Fluids 40 1-2 2002 153 169
    • (2002) Internat. J. Numer. Methods Fluids , vol.40 , Issue.12 , pp. 153-169
    • Houston, P.1    Senior, B.2    Süli, E.3
  • 13
    • 0037016628 scopus 로고    scopus 로고
    • A posteriori estimation for discontinuous Galerkin solutions of hyperbolic problems
    • S. Adjerid, K. Devine, J. Flaherty, and L. Krivodonova A posteriori estimation for discontinuous Galerkin solutions of hyperbolic problems Comput. Methods Appl. Mech. Engrg. 191 11-12 2002 1097 1112
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , Issue.1112 , pp. 1097-1112
    • Adjerid, S.1    Devine, K.2    Flaherty, J.3    Krivodonova, L.4
  • 14
    • 0036680851 scopus 로고    scopus 로고
    • Aspects of discontinuous Galerkin methods for hyperbolic conservation laws
    • J. Flaherty, L. Krivodonova, J.-F. Remacle, and M. Shephard Aspects of discontinuous Galerkin methods for hyperbolic conservation laws Finite Elem. Anal. Des. 38 10 2002 889 908
    • (2002) Finite Elem. Anal. Des. , vol.38 , Issue.10 , pp. 889-908
    • Flaherty, J.1    Krivodonova, L.2    Remacle, J.-F.3    Shephard, M.4
  • 15
    • 0012733086 scopus 로고    scopus 로고
    • Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws
    • R. Hartmann, and P. Houston Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws SIAM J. Sci. Comput. 24 2002 979 1004
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 979-1004
    • Hartmann, R.1    Houston, P.2
  • 17
    • 0032209437 scopus 로고    scopus 로고
    • A discontinuous finite element method for diffusion problems
    • J.T. Oden, I. Babuška, and C. Baumann A discontinuous finite element method for diffusion problems J. Comput. Phys. 146 1998 491 519
    • (1998) J. Comput. Phys. , vol.146 , pp. 491-519
    • Oden, J.T.1    Babuška, I.2    Baumann, C.3
  • 18
    • 0035382415 scopus 로고    scopus 로고
    • A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems
    • B. Rivière, M.F. Wheeler, and V. Girault A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems SIAM J. Numer. Anal. 39 3 2001 902 931
    • (2001) SIAM J. Numer. Anal. , vol.39 , Issue.3 , pp. 902-931
    • Rivière, B.1    Wheeler, M.F.2    Girault, V.3
  • 19
    • 0023400213 scopus 로고
    • The optimal convergence rate of the p-version of the finite element method
    • I. Babuška, and M. Suri The optimal convergence rate of the p-version of the finite element method SIAM J. Numer. Anal. 24 1987 750 776
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 750-776
    • Babuška, I.1    Suri, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.