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Volumn 49, Issue 1, 2011, Pages 61-86

Continuous mesh framework part II: Validations and applications

Author keywords

Anisotropic mesh adaptation; Continuous mesh; Interpolation error; Linear interpolate; Optimal interpolation error bound; Riemannian metric space; Unstructured mesh

Indexed keywords

ANISOTROPIC MESH ADAPTATION; CONTINUOUS MESH; INTERPOLATION ERROR; LINEAR INTERPOLATE; OPTIMAL INTERPOLATION; RIEMANNIAN METRICS; UNSTRUCTURED MESHES;

EID: 79952978360     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/10078654X     Document Type: Article
Times cited : (157)

References (20)
  • 1
    • 70450250077 scopus 로고    scopus 로고
    • High order sonic boom modeling by adaptive methods
    • F. Alauzet and A. Loseille, High order sonic boom modeling by adaptive methods, J. Comput. Phys., 229 (2010), pp. 561-593.
    • (2010) J. Comput. Phys. , vol.229 , pp. 561-593
    • Alauzet, F.1    Loseille, A.2
  • 2
    • 78649640908 scopus 로고    scopus 로고
    • P1-conservative solution interpolation on unstructured triangular meshes
    • F. Alauzet and M. Mehrenberger, P1-conservative solution interpolation on unstructured triangular meshes, Internat. J. Numer. Methods Engrg., 84 (2010), pp. 1552-1588.
    • (2010) Internat. J. Numer. Methods Engrg. , vol.84 , pp. 1552-1588
    • Alauzet, F.1    Mehrenberger, M.2
  • 3
    • 0039608629 scopus 로고    scopus 로고
    • Adaptive finite element methods for elliptic equations with non-smooth coefficients
    • C. Bernardi and R. Verfürth, Adaptive finite element methods for elliptic equations with non-smooth coefficients, Numer. Math., 85 (2000), pp. 579-608.
    • (2000) Numer. Math. , vol.85 , pp. 579-608
    • Bernardi, C.1    Verfürth, R.2
  • 4
    • 2442452617 scopus 로고    scopus 로고
    • Adaptive finite element methods with convergence rates
    • DOI 10.1007/s00211-003-0492-7
    • P. Binev, W. Dahmen, and R. DeVore, Adaptive finite element methods with convergence rates, Numer. Math., 97 (2004), pp. 219-268. (Pubitemid 38640518)
    • (2004) Numerische Mathematik , vol.97 , Issue.2 , pp. 219-268
    • Binev, P.1    Dahmen, W.2    DeVore, R.3
  • 5
    • 33644529423 scopus 로고    scopus 로고
    • On the error of linear interpolation and the orientation, aspect ratio, and internal angles of a triangle
    • W. Cao, On the error of linear interpolation and the orientation, aspect ratio, and internal angles of a triangle, SIAM J. Numer. Anal., 43 (2005), pp. 19-40.
    • (2005) SIAM J. Numer. Anal. , vol.43 , pp. 19-40
    • Cao, W.1
  • 8
    • 34248592637 scopus 로고    scopus 로고
    • Optimal anisotropic simplicial meshes for minimizing interpolation errors in Lp-norm
    • L. Chen, P. Sun, and J. Xu, Optimal anisotropic simplicial meshes for minimizing interpolation errors in Lp-norm, Math. Comp., 76 (2007), pp. 179-204.
    • (2007) Math. Comp. , vol.76 , pp. 179-204
    • Chen, L.1    Sun, P.2    Xu, J.3
  • 10
    • 0035602908 scopus 로고    scopus 로고
    • New anisotropic a priori error estimates
    • L. Formaggia and S. Perotto, New anisotropic a prioiri error estimate, Numer. Math., 89 (2001), pp. 641-667. (Pubitemid 33578720)
    • (2001) Numerische Mathematik , vol.89 , Issue.4 , pp. 641-667
    • Formaggia, L.1    Perotto, S.2
  • 12
    • 24044543275 scopus 로고    scopus 로고
    • Anisotropic mesh adaptation for CFD computations
    • DOI 10.1016/j.cma.2004.11.025, PII S0045782505000794
    • P. Frey and F. Alauzet, Anisotropic mesh adaptation for CFD computations, Comput. Methods Appl. Mech. Engrg., 194 (2005), pp. 5068-5082. (Pubitemid 41213590)
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.48-49 , pp. 5068-5082
    • Frey, P.J.1    Alauzet, F.2
  • 14
    • 15944411787 scopus 로고    scopus 로고
    • Metric tensors for anisotropic mesh generation
    • DOI 10.1016/j.jcp.2004.10.024, PII S0021999104004310
    • W. Huang, Metric tensors for anisotropic mesh generation, J. Comput. Phys., 204 (2005), pp. 633-665. (Pubitemid 40435825)
    • (2005) Journal of Computational Physics , vol.204 , Issue.2 , pp. 633-665
    • Huang, W.1
  • 16
    • 79952911859 scopus 로고    scopus 로고
    • Continuous mesh framework Part I: Well-posed continuous interpolation error
    • A. Loseille and F. Alauzet, Continuous mesh framework Part I: Well-posed continuous interpolation error, SIAM J. Numer. Anal., 49 (2011), pp. 38-60.
    • (2011) SIAM J. Numer. Anal. , vol.49 , pp. 38-60
    • Loseille, A.1    Alauzet, F.2
  • 17
    • 77955278108 scopus 로고    scopus 로고
    • Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations
    • A. Loseille, A. Dervieux, and F. Alauzet, Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations, J. Comput. Phys., 229 (2010), pp. 2866-2897.
    • (2010) J. Comput. Phys. , vol.229 , pp. 2866-2897
    • Loseille, A.1    Dervieux, A.2    Alauzet, F.3
  • 18
    • 0042931313 scopus 로고    scopus 로고
    • An anisotropic error indicator based on Zienkiewicz-Zhu error estimator: Application to elliptic and parabolic problems
    • M. Picasso, An anisotropic error indicator based on Zienkiewicz-Zhu error estimator: Application to elliptic and parabolic problems, SIAM J. Sci. Comput., 24 (2003), pp. 1328-1355.
    • (2003) SIAM J. Sci. Comput. , vol.24 , pp. 1328-1355
    • Picasso, M.1
  • 19
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
    • O. C. Zienkiewicz and J. Z. Zhu, The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique, Internat. J. Numer. Methods Engrg., 33 (1992), pp. 1331-1364.
    • (1992) Internat. J. Numer. Methods Engrg. , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 20
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity
    • O. C. Zienkiewicz and J. Z. Zhu, The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity, Internat. J. Numer. Methods Engrg., 33 (1992), pp. 1365-1380.
    • (1992) Internat. J. Numer. Methods Engrg. , vol.33 , pp. 1365-1380
    • Zienkiewicz, O.C.1    Zhu, J.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.