adaptive element
5.A more complete physical model of the device is adopted,and the sparse matrix technique of symbol Lu factorization,the self-adaptive finite element mesh refinement technique aed the modified nonlinear iteration technique are used in the numerical method. Thereby the speed of device analysis is increased con siderably.
6.Then a practical posteriori error estimates formula for the adaptive boundary element method solving the acoustic scattering problem with a finite plane screen is obtained by triangulations. The mathematical model of this problem is the three dimensional Neumann boundary value problem of Helmholtz equation with finite plane boundary.
8.Appropriate modes were selected to act on the special areas according to geometric and physical features of the object to be analyzed. As a result,an information field of element size was built in manner of project. Algorithm based on Delaunay triangulation was developed for 2D finite element adaptive mesh generation,in which element size is changed dynamically.

