메뉴 건너뛰기




Volumn 120, Issue 2, 2012, Pages 271-305

Optimally adapted meshes for finite elements of arbitrary order and W 1, p norms

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84855660525     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-011-0412-1     Document Type: Article
Times cited : (13)

References (21)
  • 1
    • 42649138192 scopus 로고    scopus 로고
    • Anisotropic error estimates for an interpolant defined via moments
    • Acosta G., Apel T., Durân Ricardo G., Lombardi Ariel L.: Anisotropic error estimates for an interpolant defined via moments. Computing 82, 1-9 (2008).
    • (2008) Computing , vol.82 , pp. 1-9
    • Acosta, G.1    Apel, T.2    Durân Ricardo, G.3    Lombardi Ariel, L.4
  • 3
    • 0001043157 scopus 로고
    • On optimal regular meshes for minimizing the gradient error
    • D'Azevedo E.F., Simpson R.B.: On optimal regular meshes for minimizing the gradient error. Numer. Math. 59, 321-348 (1991).
    • (1991) Numer. Math. , vol.59 , pp. 321-348
    • D'Azevedo, E.F.1    Simpson, R.B.2
  • 6
    • 0016939764 scopus 로고
    • On the angle condition in the finite element method
    • Babuška, I., Aziz, A. K.: On the angle condition in the finite element method. SIAM J. Numer. Anal. 13 (1976).
    • (1976) SIAM J. Numer. Anal , vol.13
    • Babuška, I.1    Aziz, A.K.2
  • 8
    • 55549126280 scopus 로고    scopus 로고
    • An interpolation error estimate on anisotropic meshes in ℝ and optimal metrics for mesh refinement
    • Cao W.: An interpolation error estimate on anisotropic meshes in ℝ and optimal metrics for mesh refinement. SIAM J. Numer. Anal. 45(6), 2368-2391 (2007).
    • (2007) SIAM J. Numer. Anal. , vol.45 , Issue.6 , pp. 2368-2391
    • Cao, W.1
  • 9
    • 33644529423 scopus 로고    scopus 로고
    • On the error of linear interpolation and the orientation, aspect ratio, and internal angles of a triangle
    • Cao W.: On the error of linear interpolation and the orientation, aspect ratio, and internal angles of a triangle. SIAM J. Numer. Anal. 43(1), 19-40 (2005).
    • (2005) SIAM J. Numer. Anal. , vol.43 , Issue.1 , pp. 19-40
    • Cao, W.1
  • 10
    • 41449085933 scopus 로고    scopus 로고
    • Anisotropic measures of third order derivatives and the quadratic interpolation error on triangular elements
    • (electronic)
    • Cao W.: Anisotropic measures of third order derivatives and the quadratic interpolation error on triangular elements. SIAM J. Sci. Comput 29(2), 756-781 (2007).
    • (2007) SIAM J. Sci. Comput , vol.29 , Issue.2 , pp. 756-781
    • Cao, W.1
  • 13
    • 0035602908 scopus 로고    scopus 로고
    • New anisotropic a priori error estimates
    • Formaggia L., Perotto S.: New anisotropic a priori error estimates. Numerische Mathematik 89, 641-667 (2001).
    • (2001) Numerische Mathematik , vol.89 , pp. 641-667
    • Formaggia, L.1    Perotto, S.2
  • 14
    • 0037455650 scopus 로고    scopus 로고
    • Variational mesh adaptation II: Error estimates and monitor functions
    • Huang W., Sun W.: Variational mesh adaptation II: Error estimates and monitor functions. J. Comput. Phys. 184, 619-648 (2003).
    • (2003) J. Comput. Phys. , vol.184 , pp. 619-648
    • Huang, W.1    Sun, W.2
  • 17
    • 79952911859 scopus 로고    scopus 로고
    • Continuous mesh framework part I: well-posed continuous interpolation error
    • Loseille A., Alauzet F.: Continuous mesh framework part I: well-posed continuous interpolation error. SIAM J. Numer. Anal. 49(1), 38-60 (2011).
    • (2011) SIAM J. Numer. Anal. , vol.49 , Issue.1 , pp. 38-60
    • Loseille, A.1    Alauzet, F.2
  • 18
    • 77955588621 scopus 로고    scopus 로고
    • Optimal meshes for finite elements of arbitrary order
    • Mirebeau J.-M.: Optimal meshes for finite elements of arbitrary order. Constr. Approx. 32(2), 339-383 (2010).
    • (2010) Constr. Approx. , vol.32 , Issue.2 , pp. 339-383
    • Mirebeau, J.-M.1
  • 21
    • 0038014823 scopus 로고    scopus 로고
    • What is a good linear finite element? Interpolation, conditioning, anisotropy, and quality Measures
    • ShewChuk, J. R.: What is a good linear finite element? Interpolation, conditioning, anisotropy, and quality Measures. In: Proceedings of the 11th International Meshing Roundtable (2002).
    • (2002) Proceedings of the 11th International Meshing Roundtable
    • ShewChuk, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.