Finite element analysis of transient electromagnetic scattering problems

被引：0
作者：
Tri Van
Aihua Wood
机构：
[1] Mission Research Corporation,Air Force Institute of Technology
[2] AFIT/ENC,undefined
[3] WPAFB,undefined
来源：
Advances in Computational Mathematics | 2005年 / 22卷
关键词：
Maxwell’s equations; finite element methods; Newmark scheme; error estimates; stability; cavity; 35L05; 65M60; 78M10; 74J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, Newmark time-stepping scheme and edge elements are used to numerically solve the time-dependent scattering problem in a three-dimensional cavity. Finite element methods based on the variational formulation derived in [23] are considered. Due to the lack of regularity ofεr, the existence and uniqueness of the discrete solutions and their convergence are proved by using the concept of collectively compact operators. An optimal convergence rate in the energy norm is also established.
引用
收藏
页码：21 / 48
页数：27
相关论文
共 31 条
[1]  
Alonso A.(1999)An optimal domain decomposition preconditioner for low-frequency timeharmonic Maxwell’s equations Math. Comp. 68 607-631
[2]  
Valli A.(2001)Analysis of the electromagnetic scattering from a cavity Japan J. Industr. Appl. Math. 19 301-308
[3]  
Ammari H.(2000)On the convergence of Galerkin finite element approximations of electromagnetic eigenproblems SIAM J. Numer. Anal. 38 580-607
[4]  
Bao G.(2000)Finite element methods with matching and nonmatching meshes for Maxwell’s equations with discontinuous coefficients SIAM J. Numer. Anal. 37 1542-1570
[5]  
Wood A.(1999)Fully discrete finite element approaches for time-dependent Maxwell’s equations Numer. Math. 82 193-219
[6]  
Caorsi S.(1991)A coercive bilinear form for Maxwell’s equations J. Math. Anal. Appl. 157 527-541
[7]  
Fernandes P.(1991)Non reflecting boundary conditions J. Comput. Phys. 94 1-29
[8]  
Raffetto M.(1996)On the solution of time-harmonic scattering problems for Maxwell’s equations SIAM J. Math. Anal. 27 1597-1630
[9]  
Chen Z.(1989)On a discrete compactness property for the Nédélec finite elements J. Fac. Sci. Univ. Tokyo, Sect. IA Math. 36 479-490
[10]  
Du Q.(1999)An investigation of new FETD/ABC methods of computation of scattering from three-dimensional material objects IEEE Trans. Antennas Propagation 47 1579-1585
1234