ON MORTAR-TYPE TRUNC ELEMENT METHOD FOR A PLATE BENDING PROBLEM

Abstract

In this paper, a mortar-type TRUNC element method for the discretization of a plate bending problem is established. All the subdomains are triangulated independently. At the interfaces, three mortar conditions are given to ensure the convergence of the method: the first is a pointwise condition for the solution, while the other two are projection conditions for the normal and tangential derivatives of the solution. An error estimate in the energy norm is obtained under the regularity assumptions that the exact solution [Formula: see text] and f ∈ L2 (Ω). The error order is optimal as for the usual TRUNC element method. Finally, some numerical results are provided in order to show the validness of our theoretical results.