Adaptive triangular mesh generation for boundary element method in three-dimensional electrostatic problems

An adaptive triangular mesh generation method for BEM is proposed. In this method, an estimated error is used as the criterion for refinement of triangular mesh. The error estimation is performed by using a smoothness of unknown variable distribution, which is an approximate equation of the Laplacian of the discrete unknown variables at the node on the triangular element. In this paper, the procedure of the adaptive triangular mesh generation and some examples are described.