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Carleman estimate for wave equations coupled with the second order terms 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 506, 期号: 2, 页码: 24
作者:  Jiang, Zifan;  Zhang, Wensheng
收藏  |  浏览/下载：106/0  |  提交时间：2022/04/02
Carleman estimates  Coupled hyperbolic system  
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：121/0  |  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  
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle 期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
作者:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
收藏  |  浏览/下载：125/0  |  提交时间：2022/04/02
Transonic flow  Contact discontinuity  Free boundary  Compressible Euler flow  Finitely long nozzle  
Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 292, 页码: 388-415
作者:  Zhang, Yiping
收藏  |  浏览/下载：140/0  |  提交时间：2021/10/26
Homogenization  Periodic coefficients  Rapidly oscillating potentials  Convergence rates  Eigenvalues and eigenfunctions  
SECOND ORDER ESTIMATES FOR COMPLEX HESSIAN EQUATIONS ON HERMITIAN MANIFOLDS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 6, 页码: 2619-2633
作者:  Dong, Weisong;  Li, Chang
收藏  |  浏览/下载：130/0  |  提交时间：2021/04/26
Complex Hessian equations  Second order estimates  Hermitian manifolds  
Central discontinuous Galerkin methods on overlapping meshes for wave equations 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 329-356
作者:  Liu, Yong;  Lu, Jianfang;  Shu, Chi-Wang;  Zhang, Mengping
收藏  |  浏览/下载：121/0  |  提交时间：2021/04/26
Optimal error estimates  central DG method  second order wave equation  dispersion analysis  
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 16
作者:  Liao, Hong-Lin;  Song, Xuehua;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：136/0  |  提交时间：2021/04/26
molecular beam epitaxial growth  variable-step BDF2 scheme  discrete orthogonal convolution kernels  energy stability  convergence analysis  
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：149/0  |  提交时间：2021/10/26
elliptic hemivariational inequality  homogenization  finite element method  error estimates  contact problems  Robin problems  
Quantitative estimates in reiterated homogenization 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 卷号: 279, 期号: 11, 页码: 39
作者:  Niu, Weisheng;  Shen, Zhongwei;  Xu, Yao
收藏  |  浏览/下载：140/0  |  提交时间：2021/01/14
Reiterated homogenization  Convergence rates  Large-scale regularity estimates  
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 414, 页码: 16
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：159/0  |  提交时间：2020/06/30
Time-fractional Allen-Cahn equation  Alikhanov formula  Adaptive time-stepping strategy  Discrete maximum principle  Sharp error estimate