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Volumn 2, Issue 1-2, 2007, Pages 35-48

A weakly over-penalized non-symmetric interior penalty method

Author keywords

Interior penalty methods; Preconditioner; Quasi optimal error estimates; Weakly over penalized

Indexed keywords


EID: 42549155274     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (14)
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  • 2
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    • Discontinuous Galerkin methods for elliptic problems
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    • D.N. Arnold, F. Brezzi, B. Cockburn, and D. Marini. Discontinuous Galerkin methods for elliptic problems. In B. Cockburn, G.E. Karniadakis, and C.-W. Shu, editors, Discontinuous Galerkin Methods, pages 89-101. Springer-Verlag, Berlin-Heidelberg, 2000.
    • (2000) B. Cockburn, G.E. Karniadakis, and C.-W. Shu , pp. 89-101
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, D.4
  • 3
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • D.N. Arnold, F. Brezzi, B. Cockburn, and L.D. Marini. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal., 39:1749-1779, 2001/02.
    • (2001) SIAM J. Numer. Anal , vol.39 , pp. 1749-1779
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, L.D.4
  • 4
    • 0014749272 scopus 로고
    • Estimation of linear functionals on Sobolev spaces with applications to Fourier transforms and spline interpolation. SIAM
    • J.H. Bramble and S.R. Hilbert. Estimation of linear functionals on Sobolev spaces with applications to Fourier transforms and spline interpolation. SIAM J. Numer. Anal., 7:113-124, 1970.
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    • Bramble, J.H.1    Hilbert, S.R.2
  • 5
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    • Poincaré-Friedrichs inequalities for piecewise H1 functions. SIAM
    • 1 functions. SIAM J. Numer. Anal., 41:306-324, 2003.
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  • 6
    • 84947109069 scopus 로고    scopus 로고
    • A W-cycle algorithm for a weakly over-penalized interior penalty method (To appear in Comput
    • S.C. Brenner and L. Owens. A W-cycle algorithm for a weakly over-penalized interior penalty method (to appear in Comput. Methods Appl. Mech. Engrg.).
    • Methods Appl. Mech. Engrg
    • Brenner, S.C.1    Owens, L.2
  • 9
    • 0015762231 scopus 로고
    • Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. RAIRO Anal
    • M. Crouzeix and P.-A. Raviart. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. RAIRO Anal. Numèr., 7:33-75, 1973.
    • (1973) Numèr. , vol.7 , pp. 33-75
    • Crouzeix, M.1    Raviart, P.-A.2
  • 10
    • 0004236492 scopus 로고    scopus 로고
    • third edition). The Johns Hopkins University Press, Baltimore
    • G.H. Golub and C.F. Van Loan. Matrix Computations (third edition). The Johns Hopkins University Press, Baltimore, 1996.
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    • Golub, G.H.1    Van Loan, C.F.2
  • 12
    • 58449118735 scopus 로고    scopus 로고
    • Multigrid Methods for Weakly Over-Penalized Interior Penalty Methods
    • in preparation
    • L. Owens. Multigrid Methods for Weakly Over-Penalized Interior Penalty Methods. PhD thesis, University of South Carolina, (in preparation).
    • Phd Thesis, University of South Carolina
    • Owens, L.1
  • 13
    • 0035382415 scopus 로고    scopus 로고
    • A priori error estimates for nite element methods based on discontinuous approximation spaces for elliptic problems
    • B. Rivière, M.F. Wheeler, and V. Girault. A priori error estimates for nite element methods based on discontinuous approximation spaces for elliptic problems. SIAM J. Numer. Anal., 39:902-931, 2001.
    • (2001) SIAM J , vol.39 , pp. 902-931
    • Rivière, B.1    Wheeler, M.F.2    Girault, V.3
  • 14
    • 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., 15:152-161, 1978.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 152-161
    • Wheeler, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.