Dual interpolation boundary face method for 3-D potential problem based on binary tree grids

This paper presents the dual interpolation boundary face method (DiBFM) based on a binary tree grid for solving 3-D potential problems. The subdivision algorithm is capable to generate both continuous and discontinuous grids, achieve grids? generation arbitrary complex model much easier automatically. By adding virtual nodes vertices edges of traditional element, elements are introduced while order increased by two. values physical variables approximated Lagrange polynomial in first-layer interpolation, meshless used condense degree freedom second-layer interpolation. Since no requirement needed continuity grids DiBFM, dilemma avoidable. In this paper, DiBFM implemented solve general problems with thin-wall structures “geometrical construction noise”.