数值流形方法的对象设计

研究了数值流形方法的对象设计方法和组织方式，为流形方法的理论研究和向三维问题的扩展打下良好的基础，研究发现数值流形方法具有编程和前后处理简单的特点，且仅用三角形流形单元和一阶近似的覆盖位移函数就可达到有限元多结点等参元的求解精度，具有深远的工程意义，计算结果表明，数值解与理论解吻合。

Object design of the numerical manifold method

In this paper , the design method and management of the object about the numerical manifold method are studied and the theoretical basis for the researching and expanding of numerical manifold method is also put forward. The characteristics of easy programming and simple preprocessing and postprocessing are clearly shown. The solution precison of multinode isoparameter element method can be acquired by simply using triangular manifold element and one\|order uniform polynomial approximation. The calculation results show that the numerical results are in good agreement with theoretical solutions.