Element Nodal Computation-Based Radial Integration BEM for Nonhomogeneous and Nonlinear Problems

摘要

This paper presents a new strategy of using the radial integration boundary element method (RIBEM) to solve non-homogeneous heat conduction and thermoelasticity problems. In the method, the evaluation of the radial integral which is used to transform domain integrals to the boundary is carried out in accordance with elemental nodes. As a result, the computational time spent in evaluating domain integrals can be saved considerably in comparison with the conventional RIBEM. Three numerical examples are given to demonstrate the correctness and computational efficiency of the presented approach.