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A Nitsche Hybrid Multiscale Method with Non-matching Grids 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 28
Authors:  Ming, Pingbing;  Song, Siqi
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Multiscale PDE  Hybrid method  Nitsche variational formulation  Non-matching grid  
RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS 期刊论文
INVERSE PROBLEMS AND IMAGING, 2022, 页码: 21
Authors:  Zhu, Tielei;  Yang, Jiaqing;  Zhang, Bo
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Interaction  Maxwell's equations  Navier equation  well-posedness  inverse scattering  uniqueness  
Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
Authors:  Liang, Dongdong;  Gong, Wei;  Xie, Xiaoping
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Parabolic optimal control problem  pointwise observation  space-time finite element method  parabolic PDE with Dirac measure  error estimate  
PLANAR VORTICES IN A BOUNDED DOMAIN WITH A HOLE 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2021, 卷号: 29, 期号: 6, 页码: 4229-4241
Authors:  Yan, Shusen;  Yu, Weilin
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The Euler flow  semilinear elliptic equation  variational method  free boundary problem  reduction  
Periodic Solutions to Klein-Gordon Systems with Linear Couplings 期刊论文
ADVANCED NONLINEAR STUDIES, 2021, 卷号: 21, 期号: 3, 页码: 633-660
Authors:  Chen, Jianyi;  Zhang, Zhitao;  Chang, Guijuan;  Zhao, Jing
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Wave Equation  Variational Method  Klein-Gordon System  Periodic Solutions  
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
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Maxwell's equations  diffractive grating problem  biperiodic structures  adaptive finite element method  transparent boundary condition  a posteriori error estimate  
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term 期刊论文
APPLICABLE ANALYSIS, 2021, 页码: 34
Authors:  Meng, Shixu;  Oudghiri-Idrissi, Othman;  Guzina, Bojan B.
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Waves in periodic media  dynamic homogenization  finite frequency  band gap  (Floquet-)Bloch transform  variational formulation  
Steady vortex patches near a nontrivial irrotational flow 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 5, 页码: 947-962
Authors:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
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Euler equation  incompressible fluids  vortex patch  variational problem  irrotational flow  
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 30
Authors:  Xu, Liwei;  Yin, Tao
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35J25  65N30  74F10  
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
Authors:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
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Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods