Nonconforming locking-free finite elements for Reissner-Mindlin plates

摘要

We prove optimal error estimates in L~2 for a nonconforming finite element for Reissner-Mindlin plates recently introduced in [C. Lovadina, A low-order nonconforming finite element for Reissner-Mindlin plates, SIAM J. Numer. Anal. 42 (2005) 2688-2705]. Moreover, we present numerical experiments using this element and other two nonconforming elements analyzed in [F. Brezzi, L.D. Marini, A nonconforming element for the Reissner-Mindlin plate, Comput. Struct. 81 (2003) 515-522].