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An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 页码: 35
Authors:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Wang, Zhoufeng;  Wu, Haijun;  Zheng, Weiying
Favorite  |  View/Download:180/0  |  Submit date:2022/04/02
Maxwell's equations  diffractive grating problem  biperiodic structures  adaptive finite element method  transparent boundary condition  a posteriori error estimate  
WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
Authors:  Zhang, Yongwei;  Cao, Liqun;  Shi, Dongyang
Favorite  |  View/Download:161/0  |  Submit date:2021/04/26
Maxwell's equations  dispersive medium  well-posedness  the multiscale asymptotic expansion  finite element method  
Analysis of a time-dependent fluid-solid interaction problem above a local rough surface 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 5, 页码: 887-906
Authors:  Wei, Changkun;  Yang, Jiaqing
Favorite  |  View/Download:151/0  |  Submit date:2020/09/23
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 卷号: 36, 期号: 1, 页码: 95-118
Authors:  Wei, Chang-kun;  Yang, Jia-qing;  Zhang, Bo
Favorite  |  View/Download:199/0  |  Submit date:2020/05/24
electromagnetic  elastic  Laplace transform  Lax-Milgram lemma  energy method  well-posedness  
Analysis of a time-dependent uid-solid interaction problem above a local rough surface 期刊论文
Science China. Mathematics, 2020, 卷号: 63, 期号: 5, 页码: 887-906
Authors:  Wei Changkun;  Yang Jiaqing
Favorite  |  View/Download:148/0  |  Submit date:2021/01/14
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2018, 卷号: 16, 期号: 4, 页码: 987-1016
Authors:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Zheng, Weiying
Favorite  |  View/Download:169/0  |  Submit date:2019/01/11
Elastic wave equation  perfectly matched layer  biperiodic structures  transparent boundary condition  
AN ADAPTIVE FINITE ELEMENT PML METHOD FOR THE ELASTIC WAVE SCATTERING PROBLEM IN PERIODIC STRUCTURES 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 卷号: 51, 期号: 5, 页码: 2017-2047
Authors:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Zheng, Weiying
Favorite  |  View/Download:158/0  |  Submit date:2018/07/30
Elastic wave equation  adaptive finite element  perfectly matched layer  a posteriori error estimate  
An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 3, 页码: 936-956
Authors:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Zheng, Weiying
Favorite  |  View/Download:123/0  |  Submit date:2018/07/30
Acoustic scattering problem  Adaptive finite element method  Transparent boundary condition  A posteriori error estimate  
Maxwell's equations in an unbounded structure 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 3, 页码: 573-588
Authors:  Li, Peijun;  Zheng, Gaofeng;  Zheng, Weiying
Favorite  |  View/Download:127/0  |  Submit date:2018/07/30
Maxwell's equations  generalized Lax-Milgram theorem  unbounded rough surface  
ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2017, 卷号: 49, 期号: 5, 页码: 3951-3972
Authors:  Gao, Yixian;  Li, Peijun;  Zhang, Bo
Favorite  |  View/Download:184/0  |  Submit date:2018/07/30
acoustic wave equation  elastic wave equation  unbounded rough surface  time domain  stability  a priori estimates