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Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
作者:  Gong, Wei;  Li, Buyang;  Yang, Huanhuan
收藏  |  浏览/下载:86/0  |  提交时间:2023/02/07
Wave equation  Unbounded domain  Boundary integral equation  Well-posedness  Convolution quadrature  Stability  Convergence  Error estimate  
Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 4, 页码: 1143-1168
作者:  Tang, Tao;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载:136/0  |  提交时间:2019/03/05
Fractional PDEs  Hermite polynomials/functions  unbounded domain  spectral collocation methods  
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
作者:  Gao, Yixian;  Li, Peijun;  Zhang, Bo
收藏  |  浏览/下载:164/0  |  提交时间:2018/07/30
acoustic wave equation  elastic wave equation  unbounded rough surface  time domain  stability  a priori estimates  
A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell's equations in unbounded domains 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2008, 卷号: 28, 期号: 4, 页码: 355-382
作者:  Liu, Yang;  Hu, Qiya;  Yu, Dehao
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Maxwell's equations  Unbounded domains  Domain decomposition  Boundary integral  Nedelec finite elements  D-N alternation  
Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2007, 卷号: 186, 期号: 1, 页码: 598-609
作者:  Ma, Jingtang
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
partial Volterra integro-differential equations  unbounded spatial domain  artificial boundary conditions  discontinuous Galerkin time-stepping methods  finite element methods  
Multigrid algorithm for the coupling system of natural boundary element method and finite element method for unbounded domain problems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2007, 卷号: 25, 期号: 1, 页码: 13-26
作者:  Zhang, Sheng;  Yu, Dehao
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
multigird algorithm  finite element method  boundary element method  coupling  unbounded domain problem  
Artificial boundary conditions for parabolic Volterra integro-differential equations on unbounded two-dimensional domains 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 197, 期号: 2, 页码: 406-420
作者:  Han, Houde;  Zhu, Liang;  Brunner, Hermann;  Ma, Jingtang
收藏  |  浏览/下载:86/0  |  提交时间:2018/07/30
partial Volterra integro-differential equation  unbounded spatial domain  artificial boundary conditions  numerical solution  
On the existence of positive solution for a semilinear elliptic equation on Esteban-Lions domain with "hole" 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 卷号: 61, 期号: 7, 页码: 1257-1268
作者:  Chen, SW;  Li, YQ;  Li, SJ
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
semilinear elliptic equations  unbounded domain  Palais-Smale condition  
A theorem about representation of Palais-Smale sequence and its applications 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 卷号: 56, 期号: 4, 页码: 601-624
作者:  Chen, SW;  Li, YQ
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
Palais-Smale sequence  semilinear elliptic equation  unbounded domain  variational methods  
Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2003, 卷号: 44, 期号: 4, 页码: 471-486
作者:  Du, QK;  Yu, DH
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
time-dependent problem  natural boundary reduction (NBR)  D-N alternating algorithm  numerical implementation  unbounded domain