Application of galerkin meshless method for bending plate problems

Abstract

This paper introduces Meshless Method: Element Free Galerkin with Lagrange multipliers applying for plate problems, the algorithm of it and numerical examples. The first presents algorithm of Meshless Method. The second talks about algorithm of Element Free Galerkin Method for plate problem. The last is numerical examples for some simple plates: Uniformly Loaded Simply Supported Square Plate and Clamped Circle Plate. The results are compared with analytical results.