A meshless numerical investigation based on the RBF-QR approach for elasticity problems

Abstract

In the current research work, we present an improvement of meshless boundary element method (MBEM) based on the shape functions of radial basis functions-QR (RBF-QR) for solving the two-dimensional elasticity problems. The MBEM has benefits of the boundary integral equations (BIEs) to reduce the dimension of problem and the meshless attributes of moving least squares (MLS) approximations. Since the MLS shape functions dont have the delta function property, applying boundary conditions is not simple. Here, we propose the MBEM using RBF-QR to increase the accuracy and efficiency of MBEM. To show the performance of the new technique, the two-dimensional elasticity problems have been selected. We solve the mentioned model on several irregular domains and report simulation results.

Keywords

• boundary element method
• rbf-qr approach
• two-dimensional elasticity problems
• meshless method