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Expansions for distributional solutions of the elliptic equation in two dimensions 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 卷号: 24, 期号: 07, 页码: 27
作者:  Li, Jiayu;  Wan, Fangshu;  Yang, Yunyan
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
Asymptotic expansion  Liouville equation  singular solution  
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  
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
作者:  Liang, Dongdong;  Gong, Wei;  Xie, Xiaoping
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/02
Parabolic optimal control problem  pointwise observation  space-time finite element method  parabolic PDE with Dirac measure  error estimate  
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：112/0  |  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：115/0  |  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：127/0  |  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