A dual interpolation boundary face method for 3D elasticity

The dual interpolation boundary face method (DiBFM) proposed recently has been successfully applied to solve various problems in two dimensions. Compared with the conventional boundary element method (BEM), it has been proved that the DiBFM has the advantages of higher accuracy, convergence rate and computational efficiency. In addition, the DiBFM is suitable to unify the conforming and nonconforming elements in the BEM implementation, as well as to approximate both continuous and discontinuous fields. Moreover, there are no geometric errors by the DiBFM in the computational process. In this paper, the DiBFM is extended successfully to solve the elasticity problems in three-dimensions (3D) with formulations derived in details. A number of numerical examples are presented in order to validate the accuracy and convergence rate of the proposed method.

Automated summary

The recently proposed DiBFM has been successfully applied in solving various problems in two dimensions, with higher accuracy and computational efficiency compared to the traditional BEM. It is suitable for unifying conforming and nonconforming elements and approximating both continuous and discontinuous fields. The method has been extended to solve elasticity problems in three dimensions with detailed formulations, validated for accuracy and convergence rate through numerical examples.