Effective Mesh Optimization Rule for finite Element Method Using Energy Minimization

최소 에너지 원리를 이용한 효율적인 유한요소 격자 생성에 관한 연구

A new remeshing algorithm based on the energy minimization is proposed for the finite element method. This utilizes the variation of mapping function between the master and global elements. The resultant equations are only the other form of the governing equations. However the equations have an important information about the relations between the elements. By assuming the solutions of the governing equations, these relations are used very usefully for the mesh optimization. The explicit formulations are presented for the relations of 1-dimensional equations and some examples are solved for comparison with the other methods. In addition, 2-dimensional expansion is presented for the general use.