On Discrete-Kirchhoff Plate Finite Elements: Implementation and Discretization Error

We present neat and efficient computer code implementation of two types of Discrete-Kirchhoff plate finite elements-the Discrete-Kirchhoff triangle and the Discrete-Kirchhoff quadrilateral-which can be used to model numerous thin plate problems in mechanics and biology. We also present an implicit a posteriori discretization error indicator computation, based on the superconvergent patch recovery technique, for the Discrete-Kirchhoff plate finite elements. This error indicator can drive an adaptive meshing algorithm providing the most suitable finite element mesh. For an illustration, some numerical results are given.