南京航空航天大学学报（英文版）2008，Vol.25Issue(3)：208-213,6.
高阶龙格库塔间断有限元方法求解二维谐振腔问题
HIGH-ORDER RUNGE-KUTTA DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR 2-D RESONATOR PROBLEM
刘梅林 1刘少斌1
作者信息
- 1. 南京航空航天大学信息科学与技术学院,南京,210016,中国
- 折叠
摘要
Abstract
The Runge-Kutta discontinuous Galerkin finite element method (RK-DGFEM) is introduced to solve the classical resonator problem in the time domain.DGFEM uses unstructured grid discretization in the space domain and it is explicit in the time domain.Consequently it is a best mixture of FEM and finite volume method (FVM).RK-DGFEM can obtain local high-order accuracy by using high-order polynomial basis.Numerical experiments of transverse magnetic (TM) wave propagation in a 2-D resonator are performed.A high-order Lagrange polynomial basis is adopted.Numerical results agree well with analytical solution.And different order Lagrange interpolation polynomial basis impacts on simulation result accuracy are discussed.Computational results indicate that the accuracy is evidently improved when the order of interpolation basis is increased.Finally,L2 errors of different order polynomial basis in RK-DGFEM are presented.Computational results show that L2 error declines exponentially as the order of basis increases.关键词
龙格库塔方法/有限元方法/谐振腔/高阶多项式基函数Key words
Runge-Kutta methods/finite element methods/resonators/basis function of high-order polynomial分类
数理科学引用本文复制引用
刘梅林,刘少斌..高阶龙格库塔间断有限元方法求解二维谐振腔问题[J].南京航空航天大学学报（英文版）,2008,25(3):208-213,6.
