Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 1 1 2020 02 01 A meshless numerical investigation based on the RBF-QR approach for elasticity problems 1 15 3379 10.22060/ajmc.2019.15990.1019 EN Mostafa Abbaszadeh Department of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Ave., Tehran 15914, Iran 0000-0001-6954-3896 Mehdi Dehghan Department of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Ave., Tehran 15914, Iran 0000-0002-2573-9755 Journal Article 2019 01 13 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 don’t 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. https://ajmc.aut.ac.ir/article_3379_88855547570f7ff053fff7c54e5148cc.pdf