Open Access
Issue
ESAIM: M2AN
Volume 53, Number 6, November-December 2019
Page(s) 1871 - 1891
DOI https://doi.org/10.1051/m2an/2019023
Published online 18 October 2019
  1. L. Anders, M. Kent-Andre and G.N. Wells, Automated Solution of Differential Equations by the Finite Element Method. Springer, Berlin, Heidelberg (2012). [Google Scholar]
  2. T. Apel, Anisotropic finite elements: Local estimates and applications. Advances in Numerical, edited by B.G. Teubner, Stuttgart (1999). [Google Scholar]
  3. I. Babuška and A.K. Aziz, On the angle condition in the finite element method. SIAM J. Numer. Anal. 13 (1976) 214–226. [Google Scholar]
  4. R.E. Barnhill and J.A. Gregory, Sard kernel theorems on triangular domains with application to finite element error bounds. Numer. Math. 25 (1975/76) 215–229. [Google Scholar]
  5. J. Brandts, S. Korotov, M. Křížek, On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Comput. Math. Appl. 55 (2008) 2227–2233. [Google Scholar]
  6. J. Brandts, S. Korotov and M. Křížek, Generalization of the Zlámal condition for simplicial finite elements in Rd. Appl. Math. 56 (2011) 417–424. [Google Scholar]
  7. S. Brenner and R. Scott, The Mathematical Theory of Finite Element Methods. In Vol. 15. Springer Science & Business Media, Berlin (2007). [Google Scholar]
  8. M. Bucki, C. Lobos and Y. Payan, A fast and robust patient specific finite element mesh registration technique: application to 60 clinical cases. Med. Image Anal. 14 (2010) 303–317. [CrossRef] [PubMed] [Google Scholar]
  9. E. Burman, Ghost penalty. C. R. Math. Acad. Sci. Paris 348 (2010) 1217–1220. [CrossRef] [MathSciNet] [Google Scholar]
  10. E. Burman, S. Claus, P. Hansbo, M.G. Larson and A. Massing, CutFEM: Discretizing geometry and partial differential equations. Int. J. Numer. Methods Eng. 104 (2015) 472–501. [Google Scholar]
  11. P.G. Ciarlet, The finite element method for elliptic problems. In: Vol. 4 of Studies in Mathematics and its Applications. North-Holland Publishing Co., Amsterdam-New York-Oxford (1978). [Google Scholar]
  12. A. Hannukainen, S. Korotov and M. Křížek, The maximum angle condition is not necessary for convergence of the finite element method. Numer. Math. 120 (2012) 79–88. [Google Scholar]
  13. J. Haslinger and Y. Renard, A new fictitious domain approach inspired by the extended finite element method. SIAM J. Numer. Anal. 47 (2009) 1474–1499. [Google Scholar]
  14. P. Jamet, Estimations d’erreur pour des éléments finis droits presque dégénérés. Rev. Fr. Automat. Inf. Rech. Oper. Sér. 10 (1976) 43–60. [Google Scholar]
  15. P. Jamet, Estimation of the interpolation error for quadrilateral finite elements which can degenerate into triangles. SIAM J. Numer. Anal. 14 (1977) 925–930. [Google Scholar]
  16. K. Kobayashi and T. Tsuchiya, On the circumradius condition for piecewise linear triangular elements. Jpn. J. Ind. Appl. Math. 32 (2015) 65–76. [Google Scholar]
  17. V. Kučera, On necessary and sufficient conditions for finite element convergence (2016) Preprint arXiv:1601.02942. [Google Scholar]
  18. M. Křížek, On the maximum angle condition for linear tetrahedral elements. SIAM J. Numer. Anal. 29 (1992) 513–520. [Google Scholar]
  19. J. Malý and W. Ziemer, Fine regularity of solutions of elliptic partial differential equations. In, Vol. 51 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI (1997). [CrossRef] [Google Scholar]
  20. P. Oswald, Divergence of FEM: Babuška-Aziz triangulations revisited. Appl. Math. 60 (2015) 473–484. [Google Scholar]
  21. A. Zenšek, Convergence of the finite element method for boundary value problems of a system of elliptic equations. Appl. Math. 14 (1969) 355–377. [Google Scholar]
  22. M. Zlámal, On the finite element method. Numer. Math. 12 (1968) 394–409. [Google Scholar]

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