Solution of two-dimensional elasticity problems using a high-accuracy boundary element method

For the two-dimensional elasticity problems, we give a uniqueness and existence analysis via the single-layer potential approach leading to a system of integral equation that contains a weakly singular operator. For its numerical solutions we describe a O(h(3)) order quadrature method based on the specific integral formula including convergence and stability analysis. Moreover, the asymptotic expansion of errors with odd power O(h(3)) is got and the accuracy of numerical approximations can be improved to the order of O (h(5)) by the Richardson extrapolation algorithm (EA) once. The efficiency of the method is illustrated by two numerical examples. (c) 2020 IMACS. Published by Elsevier B.V. All rights reserved.