Analysis of a Bilinear Finite Element for Shallow Shells II: Consistency Error

摘要

Approximation of deformation states arising in thin shells by low-order finite element methods is known to be a nontrivial task. Different locking modes degrade the convergence rate of the most basic formulations when approximating bending-dominated or inextensional deformations. However, it is equally well-known by now that a suitable variational crime can be used to retain the convergence properties in such cases.