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Volumn 29, Issue 4, 2009, Pages 827-855

Compact embeddings of broken Sobolev spaces and applications

Author keywords

Broken Sobolev spaces; Compactness; Discontinuous Galerkin method; Embedding theorems; convergence

Indexed keywords

CALCULATIONS; EMBEDDINGS; GALERKIN METHODS;

EID: 71049163362     PISSN: 02724979     EISSN: 14643642     Source Type: Journal    
DOI: 10.1093/imanum/drn038     Document Type: Article
Times cited : (116)

References (22)
  • 1
    • 0742289018 scopus 로고    scopus 로고
    • An optimal Poincaŕe inequality in L1 for convex domains
    • ACOSTA, G. & DUŔAN, R. G. (2004) An optimal Poincaŕe inequality in L1 for convex domains. Proc. Am. Math. Soc., 132, 195-202.
    • (2004) Proc. Am. Math. Soc. , vol.132 , pp. 195-202
    • Acosta, G.1    Duŕan, R.G.2
  • 3
    • 34848928771 scopus 로고    scopus 로고
    • Singularities and computation of minimizers for variational problems
    • (Oxford, 1999) (R. A. DeVore, A. Iserles & E. Süli eds.) London Mathematical Society Lecture Note Series, Cambridge: Cambridge University Press
    • BALL, J. M. (2001) Singularities and computation of minimizers for variational problems. Foundations of Computational Mathematics (Oxford, 1999) (R. A. DeVore, A. Iserles & E. Süli eds.) London Mathematical Society Lecture Note Series, vol.284. Cambridge: Cambridge University Press, pp. 1-20.
    • (2001) Foundations of Computational Mathematics , vol.284 , pp. 1-20
    • Ball, J.M.1
  • 5
    • 1842459324 scopus 로고    scopus 로고
    • Poincaŕe-Friedrichs inequalities for piecewise H1 functions
    • (electronic)
    • BRENNER, S. C. (2003) Poincaŕe-Friedrichs inequalities for piecewise H1 functions. SIAM J. Numer. Anal., 41, 306-324 (electronic).
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 306-324
    • Brenner, S.C.1
  • 6
    • 2942670777 scopus 로고    scopus 로고
    • Korn's inequalities for piecewise H1 vector fields
    • (electronic)
    • BRENNER, S. C. (2004) Korn's inequalities for piecewise H1 vector fields. Math. Comput., 73, 1067-1087 (electronic).
    • (2004) Math. Comput. , vol.73 , pp. 1067-1087
    • Brenner, S.C.1
  • 8
    • 85067946483 scopus 로고
    • Direct Methods in the Calculus of Variations
    • Berlin: Springer
    • DACOROGNA, B. (1989) Direct Methods in the Calculus of Variations. Applied Mathematical Sciences, vol.78. Berlin: Springer.
    • (1989) Applied Mathematical Sciences , vol.78
    • Dacorogna, B.1
  • 12
    • 11044220115 scopus 로고    scopus 로고
    • A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems
    • (electronic)
    • KARAKASHIAN, O. A. & PASCAL, F. (2003) A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. SIAM J. Numer. Anal., 41, 2374-2399 (electronic).
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 2374-2399
    • Karakashian, O.A.1    Pascal, F.2
  • 15
    • 0038129714 scopus 로고    scopus 로고
    • An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems
    • (electronic)
    • LASSER, C. & TOSELLI, A. (2003) An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems. Math. Comput., 72, 1215-1238 (electronic).
    • (2003) Math. Comput. , vol.72 , pp. 1215-1238
    • Lasser, C.1    Toselli, A.2
  • 16
    • 0000225931 scopus 로고
    • Numerical methods for nonlinear three-dimensional elasticity
    • (P. G. Ciarlet & J.-L. Lions eds.) Amsterdam: North-Holland
    • LE TALLEC, P. (1994) Numerical methods for nonlinear three-dimensional elasticity. Handbook of Numerical Analysis (P. G. Ciarlet & J.-L. Lions eds.) vol.III. Amsterdam: North-Holland, pp. 465-622.
    • (1994) Handbook of Numerical Analysis , vol.3 , pp. 465-622
    • Le Tallec, P.1
  • 17
    • 55449117584 scopus 로고    scopus 로고
    • Optimal BV estimates for a discontinuous Galerkin method for linear elasticity
    • LEW, A., NEFF, P., SULSKY, D. & ORTIZ, M. (2004) Optimal BV estimates for a discontinuous Galerkin method for linear elasticity. AMRX Appl. Math. Res. Express, 3, 73-106.
    • (2004) AMRX Appl. Math. Res. Express , vol.3 , pp. 73-106
    • Lew, A.1    Neff, P.2    Sulsky, D.3    Ortiz, M.4
  • 18
    • 38849176317 scopus 로고    scopus 로고
    • Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems
    • ORTNER, C. & SÜLI, E. (2007) Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems. SIAM J. Numer. Anal., 45, 1370-1397.
    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 1370-1397
    • Ortner, C.1    Süli, E.2
  • 20
    • 0040056854 scopus 로고    scopus 로고
    • Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM)
    • PEDREGAL, P. (2000) Variational Methods in Nonlinear Elasticity. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM).
    • (2000) Variational Methods in Nonlinear Elasticity
    • Pedregal, P.1
  • 21
    • 33747429786 scopus 로고    scopus 로고
    • Discontinuous Galerkin method for nonlinear elasticity
    • TEN EYCK, A. & LEW, A. (2006) Discontinuous Galerkin method for nonlinear elasticity. Int. J. Numer. Methods Eng., 67, 1204-1243.
    • (2006) Int. J. Numer. Methods Eng. , vol.67 , pp. 1204-1243
    • Ten Eyck, A.1    Lew, A.2
  • 22
    • 0033450371 scopus 로고    scopus 로고
    • Error estimates for some quasi-interpolation operators
    • VERFüRTH, R. (1999) Error estimates for some quasi-interpolation operators. M2AN Math. Model. Numer. Anal., 33, 695-713.
    • (1999) M2AN Math. Model. Numer. Anal. , vol.33 , pp. 695-713
    • Verfürth, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.