Adaptive finite elements using hierarchical mesh and its application to crack propagation analysis

In the present paper, a high-speed adaptive meshing using a hierarchical mesh is studied. We use the level-of-detail approximations of the mesh data structure used often in the computer graphics field. To achieve the correct level of detail, we employ the hierarchical regional partitions. Meshes using this data structure can be realized in a very quick manner. Finally, we apply the level of detail approximation to the adaptive analyses of crack propagation, demonstrating the efficiency of the present method.