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
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
  • [41] Hybrid High-Order Methods for the Acoustic Wave Equation in the Time Domain
    Erik Burman
    Omar Duran
    Alexandre Ern
    Communications on Applied Mathematics and Computation, 2022, 4 : 597 - 633
  • [42] Complex coefficients domain decomposition method for heterogeneous medium time-harmonic problem
    Chen, Xiaoming
    Shao, Keran
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9331 - 9339
  • [43] A DOMAIN DECOMPOSITION SOLVER FOR LARGE SCALE TIME-HARMONIC FLOW ACOUSTICS PROBLEMS
    Marchner, P.
    Beriot, H.
    LE Bras, S.
    Antoine, X.
    Geuzaine, C.
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2025, 47 (02): : B333 - B359
  • [44] A Source Transfer Domain Decomposition Method for Time-Harmonic Maxwell's Equations
    Cui, Tao
    Wang, Ziming
    Xiang, Xueshuang
    JOURNAL OF SCIENTIFIC COMPUTING, 2025, 103 (02)
  • [45] Time-harmonic elasticity with controllability and higher-order discretization methods
    Monkola, Sanna
    Heikkola, Erkki
    Pennanen, Anssi
    Rossi, Tuomo
    JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (11) : 5513 - 5534
  • [46] Parallel Domain Decomposition Methods for High-Order Finite Element Solutions of the Helmholtz Problem
    Cha, Youngjoon
    Kim, Seongjai
    ALGORITHMS AND ARCHITECTURES FOR PARALLEL PROCESSING, PT 2, PROCEEDINGS, 2010, 6082 : 136 - +
  • [47] Numerical investigation of a 3D hybrid high-order method for the indefinite time-harmonic Maxwell problem
    Cicuttin, Matteo
    Geuzaine, Christophe
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2024, 233
  • [48] Trefftz discontinuous Galerkin methods for time-harmonic electromagnetic and ultrasound transmission problems
    Badics, Zsolt
    Matsumoto, Yoshihiro
    INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS, 2008, 28 (1-2) : 17 - 24
  • [49] Transient analysis of power loss density with time-harmonic electromagnetic waves in Debye media
    Zhong, Jiaqi
    Liang, Shan
    Chen, Yong
    Tan, Jiajia
    ROYAL SOCIETY OPEN SCIENCE, 2021, 8 (11):
  • [50] A stabilized multilevel vector finite-element solver for time-harmonic electromagnetic waves
    Hill, V
    Farle, O
    Dyczij-Edlinger, R
    IEEE TRANSACTIONS ON MAGNETICS, 2003, 39 (03) : 1203 - 1206