The Infinite Elements Method And Its Application

The Infinite Elements Method which is based finite element method is a new numerical arithmetic. The infinite elements method is a valid method to overcome the difficult that the interceptive boundary conditions in the finite element method must be imposed to truncate the computational region in the open region questions.The method can calculate both the close region questions as the same precision as the finite element method and the open region which the finite element method can not calculate.The global basis functions of the infinite elements method are productions of the FEM basis functions and the decay functions.The Dirichlet condition at the infinite position can be met if the decay functions are introduced in basis functions.Three different kinds of differential equations are chosen to validate that the IFEM can solve the open region questions.The partial basis functions are based the idea of rational interpolation, the expressions are very simple.The algorithm of one-dimension question is given in the dissertation.The uniform results can be get if the IFEM combinates with On-Surface--Radiation-Condition to calculate the surface scattering field of two-dimension imperfectly conducting cylinder.The two-dimension IFEM algorithm which is based on the idea of the one-dimension is finished.