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

Document Type : Original Article

Authors

1 Department of Mathematics and Computer Science, Amirkabir University of Technology

2 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic)

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 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.

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