The Afem And Its In 2.5d Current Field Numerical Simulation In The Applications

Adaptive finite element method makes numerical solutions approach to the true solutions step by step through the adaptive technology refining the mesh. It overcomes the weakness of traditional finite element method. It is widely used in the engineering structural mechanics field.Firstly, In this paper, h-adaptive finite element method based on unstructured mesh was introduced after a review about finite element method. The method of non—structured grid can avoid the discretization error of structured grid. ZZ algorithm based on gradient, which is the most frequently used, was improved. Every element patch just contains four elements. And the improved error estimator is efficient and fast convergence then ZZ algorithm.Then, the variation of boundary value problems of 2.5-Dimension direct current field is derived through Galerkin method. And based on the variation, estimators based on residual are derived. And also, ZZ method for 2.5-Dimension direct current field, the posteriori error estimator, was discussed.At last, the h-adaptive finite element method was successfully used to solve the 2.5-Dimension direct current field problem. It showed that numerical solution approach to analytical solution with the local mesh was refined and error was reduced very fast.