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Volumn 25, Issue 1, 2005, Pages 205-220

Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method

Author keywords

Augmented Sobolev spaces; Discontinuous Galerkin finite element method; Optimal error estimates

Indexed keywords

ERROR ANALYSIS; GALERKIN METHODS; LINEAR EQUATIONS; SOBOLEV SPACES;

EID: 11444267770     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/drh014     Document Type: Article
Times cited : (33)

References (11)
  • 1
    • 0001163226 scopus 로고
    • An interior penalty finite element method with discontinuous elements
    • ARNOLD, D. N. (1982) An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal., 19, 742-760.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 742-760
    • Arnold, D.N.1
  • 2
    • 0002084927 scopus 로고    scopus 로고
    • The development of discontinuous Galerkin methods
    • Lecture Notes in Computational Science and Engineering, Berlin: Springer
    • COCKBURN, B., KARNIADAKIS, G. E. & SHU, C. -W. (2000) The development of discontinuous Galerkin methods. Discontinuous Galerkin Methods (Newport, RI, 1999), Lecture Notes in Computational Science and Engineering, Vol. 11. Berlin: Springer, pp. 3-50.
    • (2000) Discontinuous Galerkin Methods (Newport, RI, 1999) , vol.11 , pp. 3-50
    • Cockburn, B.1    Karniadakis, G.E.2    Shu, C.W.3
  • 4
    • 0000182351 scopus 로고    scopus 로고
    • Stabilized hp-finite element methods for first-order hyperbolic problems
    • electronic
    • HOUSTON, P., SCHWAB, C. & SÜLI, E. (2000) Stabilized hp-finite element methods for first-order hyperbolic problems. SIAM J. Numer. Anal., 37, 1618-1643 (electronic).
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1618-1643
    • Houston, P.1    Schwab, C.2    Süli, E.3
  • 5
    • 0036556363 scopus 로고    scopus 로고
    • Discontinuous hp-finite element methods for advection-diffusion-reaction problems
    • electronic
    • HOUSTON, P., SCHWAB, C. & SÜLI, E. (2002) Discontinuous hp-finite element methods for advection-diffusion-reaction problems. SIAM J. Numer. Anal., 39, 2133-2163 (electronic).
    • (2002) SIAM J. Numer. Anal. , vol.39 , pp. 2133-2163
    • Houston, P.1    Schwab, C.2    Süli, E.3
  • 6
    • 84951671794 scopus 로고
    • Über ein Variationsprinzip zur Lösung von Dirichlet Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
    • NITSCHE, J. (1971) Über ein Variationsprinzip zur Lösung von Dirichlet Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Sem. Uni. Hamburg, 36, 9-15.
    • (1971) Abh. Math. Sem. Uni. Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.1
  • 8
    • 0033511173 scopus 로고    scopus 로고
    • Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
    • RIVIÈRE, B., WHEELER, M. F. & GIRAULT, V. (1999) Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. Comput. Geosci., 3, 337-360.
    • (1999) Comput. Geosci. , vol.3 , pp. 337-360
    • Rivière, B.1    Wheeler, M.F.2    Girault, V.3
  • 10
    • 0000802762 scopus 로고
    • An elliptic collocation-finite element method with interior penalties
    • WHEELER, M. F. (1978) An elliptic collocation-finite element method with interior penalties. SIAM J. Numer. Anal., 15, 152-161.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 152-161
    • Wheeler, M.F.1
  • 11
    • 0003864572 scopus 로고
    • Translated from German by C. B. Thomas and M. J. Thomas. Cambridge: Cambridge University Press
    • WLOKA, J. (1987) Partial Differential Equations Translated from German by C. B. Thomas and M. J. Thomas. Cambridge: Cambridge University Press.
    • (1987) Partial Differential Equations
    • Wloka, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.