Domain Decomposition Methods for Time-Harmonic Electromagnetic Waves With High-Order Whitney Forms

被引：8
|
作者：
Marsic, Nicolas [1 ]
Waltz, Caleb [2 ]
Lee, Jin-Fa [2 ]
Geuzaine, Christophe [1 ]
机构：
[1] Univ Liege, Dept Elect Engn & Comp Sci, B-4000 Liege, Belgium
[2] Ohio State Univ, ElectroSci Lab, Columbus, OH 43212 USA
来源：
IEEE TRANSACTIONS ON MAGNETICS | 2016年 / 52卷 / 03期
关键词：
Computational electromagnetics; domain decomposition; finite-element analysis; high-performance computing; FINITE-ELEMENT SOLUTION; HELMHOLTZ-EQUATION; VERSION; NUMBER;
D O I：
10.1109/TMAG.2015.2476510
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Classically, the domain decomposition methods (DDMs) for time-harmonic electromagnetic wave propagation problems make use of the standard, low-order, Nedelec basis functions. This paper analyzes the convergence rate of DDM when higher order finite elements are used for both volume and interface discretizations, in particular when different orders are used in the volume and on the interfaces.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] Beam Decomposition of Time-harmonic Electromagnetic Waves
    Melamed, Timor
    ICEAA: 2009 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS, VOLS 1 AND 2, 2009, : 16 - 19
  • [2] The domain derivative of time-harmonic electromagnetic waves at interfaces
    Hettlich, Frank
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (14) : 1681 - 1689
  • [3] TE and TM beam decomposition of time-harmonic electromagnetic waves
    Melamed, Timor
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2011, 28 (03) : 401 - 409
  • [4] An Embedded Domain Decomposition Method for Time-Harmonic Electromagnetic Problems
    Lu, Jiaqing
    Lee, Jin-Fa
    2018 IEEE/MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM - IMS, 2018, : 216 - 219
  • [5] High-order transmission conditions in a domain decomposition method for the time-harmonic Maxwell's equations in inhomogeneous media
    Stupfel, Bruno
    Chanaud, Mathieu
    JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 372 : 385 - 405
  • [6] Some applications of substructuring and domain decomposition techniques to radiation and scattering of time-harmonic electromagnetic waves
    Balin, Nolwenn
    Bendali, Abderrahmane
    Fares, M'Barek
    Millot, Florence
    Zerbib, Nicolas
    COMPTES RENDUS PHYSIQUE, 2006, 7 (05) : 474 - 485
  • [7] NATURAL DOMAIN DECOMPOSITION ALGORITHMS FOR THE SOLUTION OF TIME-HARMONIC ELASTIC WAVES
    Brunet, R.
    Dolean, V
    Gander, M. J.
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 42 (05): : A3313 - A3339
  • [8] Domain decomposition methods for time-harmonic Maxwell equations:: Numerical results
    Rodríguez, AA
    Valli, A
    RECENT DEVELOPMENTS IN DOMAIN DECOMPOSITION METHODS, 2002, 23 : 157 - 171
  • [9] A Well-conditioned Weak Coupling of Boundary Element and High-order Finite Element Methods for Time-harmonic Electromagnetic Scattering
    Badia, Ismail
    Caudron, Boris
    Antoine, Xavier
    Geuzaine, Christophe
    2021 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM (ACES), 2021,
  • [10] An Open Source Domain Decomposition Solver for Time-Harmonic Electromagnetic Wave Problems
    Geuzaine, C.
    Thierry, B.
    Marsic, N.
    Colignon, D.
    Vion, A.
    Tournier, S.
    Boubendir, Y.
    El Bouajaji, M.
    Antoine, X.
    2014 IEEE CONFERENCE ON ANTENNA MEASUREMENTS & APPLICATIONS (CAMA), 2014,
12345