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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：85/0  |  提交时间：2023/02/07
Wave equation  Unbounded domain  Boundary integral equation  Well-posedness  Convolution quadrature  Stability  Convergence  Error estimate  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
作者:  Gong, Wei;  Tan, Zhiyu;  Zhou, Zhaojie
收藏  |  浏览/下载：141/0  |  提交时间：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* * Wei Gong was supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB 41000000), the National Key Basic Research Program (Grant No. 2018YFB0704304) and the National Natural Science Foundation of China (Grant No. 12071468, 11671391). Zhaojie Zhou was supported by the National Natural Science Foundation of China under Grant No. 11971276. 期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 4
作者:  Gong,Wei;  Tan,Zhiyu;  Zhou,Zhaojie
收藏  |  浏览/下载：126/0  |  提交时间：2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
作者:  Hou, Baohui;  Liang, Dong
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE 期刊论文
MULTISCALE MODELING & SIMULATION, 2021, 卷号: 19, 期号: 2, 页码: 830-845
作者:  Ye, Changqing;  Cui, Junzhi;  Dong, Hao
收藏  |  浏览/下载：152/0  |  提交时间：2021/10/26
elliptic hemivariational inequality  homogenization  finite element method  error estimates  contact problems  Robin problems  
CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 6, 页码: 2823-2842
作者:  Ye, Changqing;  Cui, Junzhi
收藏  |  浏览/下载：103/0  |  提交时间：2022/04/02
curve shortening flow  fully discrete  linearly implicit  convergence  error estimate  
Quantum tomography by regularized linear regressions 期刊论文
AUTOMATICA, 2020, 卷号: 114, 页码: 15
作者:  Mu, Biqiang;  Qi, Hongsheng;  Petersen, Ian R.;  Shi, Guodong
收藏  |  浏览/下载：161/0  |  提交时间：2020/05/24
Quantum state tomography  Linear regression  Regularization  
Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises 期刊论文
数学研究通讯:英文版, 2020, 卷号: 36.0, 期号: 002, 页码: 113-127
作者:  Yanzhao Cao;  Jialin Hong;  Zhihui Liu
收藏  |  浏览/下载：172/0  |  提交时间：2021/01/14
Elliptic  stochastic  partial  differential  equation  spectral  approximations  finite  element  approximations  power-law  noise  
Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients 期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 卷号: 119, 期号: 1, 页码: 35-62
作者:  Lundberg, Andrew;  Sun, Pengtao;  Wang, Cheng;  Zhang, Chen-song
收藏  |  浏览/下载：170/0  |  提交时间：2020/01/10
Transient Stokes interface problem  jump coefficients  distributed Lagrange multiplier  fictitious domain method  mixed finite element  an optimal error estimate  stability  
ENERGY STABLE SECOND ORDER LINEAR SCHEMES FOR THE ALLEN-CAHN PHASE-FIELD EQUATION 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2019, 卷号: 17, 期号: 3, 页码: 609-635
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载：684/0  |  提交时间：2020/01/10
Allen-Cahn equation  energy stable  stabilized semi-implicit scheme  second order scheme  error estimate