COUPLING OF FINITE ELEMENT AND BOUNDARY ELEMENT METHODS FOR THE SCATTERING BY PERIODIC CHIRAL STRUCTURES

被引：1
|
作者：
Habib Ammari [1 ]
机构：
[1] Centre de Mathématiques Appliquées,CNRS UMR 7641,Ecole Polytechnique 91128 Palaiseau,France
来源：
Journal of Computational Mathematics | 2008年 / 26卷 / 03期
基金：
美国国家科学基金会;
关键词：
Chiral media; Periodic structures; Finite element method; Boundary element method; Convergence;
D O I：
暂无
中图分类号：
O441.4 [电磁波与电磁场];
学科分类号：
0809 ;
摘要：
Consider a time-harmonic electromagnetic plane wave incident on a biperiodic struc-ture in R~3.The periodic structure separates two homogeneous regions.The medium insidethe structure is chiral and nonhomogeneous.In this paper,variational formulations cou-pling finite element methods in the chiral medium with a method of integral equations onthe periodic interfaces are studied.The well-posedness of the continuous and discretizedproblems is established.Uniform convergence for the coupling variational approximationsof the model problem is obtained.
引用
收藏
页码：261 / 283
页数：23
相关论文
共 50 条
  • [1] Coupling of finite element and boundary element methods for the scattering by periodic chiral structures
    Ammaxi, Habib
    Bao, Gang
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 26 (03) : 261 - 283
  • [2] Optimized weak coupling of boundary element and finite element methods for acoustic scattering
    Caudron, B.
    Antoine, X.
    Geuzaine, C.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 421
  • [3] THE COUPLING OF BOUNDARY ELEMENT AND FINITE-ELEMENT METHODS
    HSIAO, GC
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1990, 70 (06): : T493 - T503
  • [4] Coupling of mixed finite element methods and boundary element methods in elasticity
    Funken, SA
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2000, 80 : S833 - S834
  • [5] COUPLING OF DISCONTINUOUS GALERKIN FINITE ELEMENT AND BOUNDARY ELEMENT METHODS
    Of, G.
    Rodin, G. J.
    Steinbach, O.
    Taus, M.
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2012, 34 (03): : A1659 - A1677
  • [6] Domain Decomposition Algorithm for Coupling of Finite Element and Boundary Element Methods
    A. Eslami Haghighat
    S. M. Binesh
    [J]. Arabian Journal for Science and Engineering, 2014, 39 : 3489 - 3497
  • [7] Domain Decomposition Algorithm for Coupling of Finite Element and Boundary Element Methods
    Haghighat, A. Eslami
    Binesh, S. M.
    [J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2014, 39 (05) : 3489 - 3497
  • [8] On the coupling of boundary integral and mixed finite element methods
    Meddahi, S
    Valdes, J
    Menendez, O
    Perez, P
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 69 (01) : 113 - 124
  • [9] On the coupling of finite and boundary element methods for the Helmholtz equation
    Boutefnouchet, M.
    Djebabla, A.
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2006, 30 (A2): : 191 - 200
  • [10] ON THE COUPLING OF BOUNDARY INTEGRAL AND FINITE-ELEMENT METHODS
    JOHNSON, C
    NEDELEC, JC
    [J]. MATHEMATICS OF COMPUTATION, 1980, 35 (152) : 1063 - 1079
12345