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INN: Interfaced neural networks as an accessible meshless approach for solving interface PDE problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 470, 页码: 18
作者:  Wu, Sidi;  Lu, Benzhuo
收藏  |  浏览/下载:66/0  |  提交时间:2023/02/07
Interface problems  Multiple-gradient descent  Neural network  PDEs  

Maximal L-p-L-q regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation

期刊论文

JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 101-134
作者:  Hao, Chengchun;  Zhang, Wei
收藏  |  浏览/下载:71/0  |  提交时间:2023/02/07
Oberbeck-Boussinesq approximation  Free boundary problem  

Maximal L-p-L-q regularity

  Resolvent estimate  
Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 20
作者:  Yang, Jiaqing;  Li, Jianliang;  Zhang, Bo
收藏  |  浏览/下载:138/0  |  提交时间:2022/04/29
inverse acoustic scattering  Lippmann-Schwinger equation  uniqueness  rough interface  embedded obstacle  
RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS 期刊论文
INVERSE PROBLEMS AND IMAGING, 2022, 页码: 21
作者:  Zhu, Tielei;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载:127/0  |  提交时间:2022/04/29
Interaction  Maxwell's equations  Navier equation  well-posedness  inverse scattering  uniqueness  
High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 390, 页码: 24
作者:  Li, Xujing;  Zhang, Xiaodi;  Zhou, Xinxin
收藏  |  浏览/下载:107/0  |  提交时间:2022/06/21
Interface problem  Unfitted mesh  Interface-penalty finite element method  Robin jump conditions  Nitsche's method  
IMPROVED DISCRETE BOUNDARY TYPE SHAPE GRADIENTS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 4, 页码: A2464-A2505
作者:  Gong, Wei;  Li, Jiajie;  Zhu, Shengfeng
收藏  |  浏览/下载:77/0  |  提交时间:2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2203-2224
作者:  Ma, Chuwen;  Zhang, Qinghai;  Zheng, Weiying
收藏  |  浏览/下载:92/0  |  提交时间:2023/02/07
   unfitted characteristic finite element methods  time-varying domains  moving boundary problems  the advection-diffusion equation  fourth-order error estimates  
An adaptive high-order unfitted finite element method for elliptic interface problems 期刊论文
NUMERISCHE MATHEMATIK, 2021, 卷号: 149, 期号: 3, 页码: 507-548
作者:  Chen, Zhiming;  Li, Ke;  Xiang, Xueshuang
收藏  |  浏览/下载:122/0  |  提交时间:2022/04/02
65N30  
A LINEAR SAMPLING METHOD FOR INVERSE ACOUSTIC SCATTERING BY A LOCALLY ROUGH INTERFACE 期刊论文
INVERSE PROBLEMS AND IMAGING, 2021, 卷号: 15, 期号: 5, 页码: 1247-1267
作者:  Li, Jianliang;  Yang, Jiaqing;  Zhang, Bo
收藏  |  浏览/下载:167/0  |  提交时间:2021/10/26
locally rough interface  Lippmann-Schwinger integral equation  the linear sampling method  Inverse acoustic scattering  
A Hybrid Targeted Eno-Thinc Scheme With a Modified BVD Algorithm and its Application in Stiff Detonation 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2021, 页码: 20
作者:  Hou, Zongfu;  Zhao, Kunlei
收藏  |  浏览/下载:129/0  |  提交时间:2021/10/26
Boundary variation diminishing  central-upwind WENO  THINC  reconstruction  Godunov-type method  detonation