Towards the convergence of 3D and shell finite elements

[1]  K. Bathe,et al.  Optimal consistency errors for general shell elements , 2001 .

[2]  D. Chapelle,et al.  The Finite Element Analysis of Shells - Fundamentals , 2003 .

[3]  E. Ramm,et al.  On the physical significance of higher order kinematic and static variables in a three-dimensional shell formulation , 2000 .

[4]  Ville Havu,et al.  Analysis of a bilinear finite element for shallow shells I: Approximation of inextensional deformations , 2001, Math. Comput..

[5]  Arieh Iserles,et al.  Acta Numerica 2004 , 2004 .

[6]  M. Delfour Intrinsic P (2, 1) Thin Shell Model and Naghdi's Models without A Priori Assumption on the Stress Tensor , 1999 .

[7]  K. Bathe,et al.  Fundamental considerations for the finite element analysis of shell structures , 1998 .

[8]  Dominique Chapelle,et al.  Some new results and current challenges in the finite element analysis of shells , 2001, Acta Numerica.

[9]  Dominique Chapelle,et al.  3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL , 2004 .

[10]  K. Hoffmann,et al.  Optimal Control of Partial Differential Equations , 1991 .

[11]  Dominique Chapelle,et al.  The mathematical shell model underlying general shell elements , 2000 .

[12]  Ville Havu,et al.  Analysis of a bilinear finite element for shallow shells. II: Consistency error , 2003, Math. Comput..

[13]  M. Malinen On the classical shell model underlying bilinear degenerated shell finite elements , 2001 .

[14]  Alexander G Iosilevich,et al.  An evaluation of the MITC shell elements , 2000 .

[15]  M. Bernadou,et al.  Finite Element Methods for Thin Shell Problems , 1996 .

[16]  K. Bathe Finite Element Procedures , 1995 .

[17]  Dominique Chapelle,et al.  The treatment of “pinching locking” in 3D-shell elements , 2003 .

[18]  Michel Fortin,et al.  Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.