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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：143/0  |  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：129/0  |  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  
ON DISCRETE SHAPE GRADIENTS OF BOUNDARY TYPE FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1510-1541
作者:  Gong, Wei;  Zhu, Shengfeng
收藏  |  浏览/下载：137/0  |  提交时间：2021/10/26
shape optimization  shape gradient  boundary formulation  boundary correction  a priori error estimate  finite element  
HYDRODYNAMIC LIMIT OF THE BOLTZMANN EQUATION TO THE PLANAR RAREFACTION WAVE IN THREE DIMENSIONAL SPACE 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 4, 页码: 4692-4726
作者:  Wang, Guanfa;  Wang, Yong;  Zhou, Jiawei
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Boltzmann equation  compressible Euler equations  hydrodynamic limit  Hilbert expansion  a priori estimate  planar rarefaction wave  
The Dirichlet Problem on Almost Hermitian Manifolds 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 页码: 29
作者:  Li, Chang;  Zheng, Tao
收藏  |  浏览/下载：116/0  |  提交时间：2021/01/14
Dirichlet problem  Monge–  Ampè  re type equation  Degenerate Monge–  Ampè  re equation  Almost Hermitian manifold  A priori estimate  
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
作者:  Wei, Changkun;  Yang, Jiaqing
收藏  |  浏览/下载：128/0  |  提交时间：2020/09/23
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 卷号: 40, 期号: 3, 页码: 1283-1307
作者:  Kishimoto, Nobu;  Shan, Minjie;  Tsutsumi, Yoshio
收藏  |  浏览/下载：129/0  |  提交时间：2020/05/24
Kadomtsev-Petviashvili II equation  global well-posedness  global attractor  I-method  A-priori estimate  
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
作者:  Wei Changkun;  Yang Jiaqing
收藏  |  浏览/下载：127/0  |  提交时间：2021/01/14
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
Global stability of Boltzmann equation with large external potential for a class of large oscillation data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 6, 页码: 3610-3645
作者:  Wang, Guanfa;  Wang, Yong
收藏  |  浏览/下载：188/0  |  提交时间：2020/01/10
Boltzmann equation  Global well-posedness  Large-amplitude initial data  Large external potential  A priori estimate  
The Boltzmann equation with large-amplitude initial data in bounded domains 期刊论文
ADVANCES IN MATHEMATICS, 2019, 卷号: 343, 页码: 36-109
作者:  Duan, Renjun;  Wang, Yong
收藏  |  浏览/下载：240/0  |  提交时间：2019/03/05
Boltzmann equation  Global well-posedness  Bounded domain  Large-amplitude initial data  Diffuse reflection boundary  A priori estimate