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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:97/0  |  提交时间:2023/02/07
Interface problems  Multiple-gradient descent  Neural network  PDEs  
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:180/0  |  提交时间:2022/04/29
inverse acoustic scattering  Lippmann-Schwinger equation  uniqueness  rough interface  embedded obstacle  
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:143/0  |  提交时间:2022/06/21
Interface problem  Unfitted mesh  Interface-penalty finite element method  Robin jump conditions  Nitsche's method  
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:197/0  |  提交时间:2021/10/26
locally rough interface  Lippmann-Schwinger integral equation  the linear sampling method  Inverse acoustic scattering  
An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces 期刊论文
JOURNAL OF COMPUTATIONAL SCIENCE, 2021, 卷号: 50, 页码: 13
作者:  Sun, Pengtao;  Zhang, Chen-Song;  Lan, Rihui;  Li, Lin
收藏  |  浏览/下载:160/0  |  提交时间:2022/04/02
Arbitrary Lagrangian-Eulerian (ALE) mapping  Mixed finite element method  Fluid-structure interaction (FSI)  Cardiovascular environment  Saddle-point linear algebraic system  Multi-domain  interface interactions  Vascular aneurysm  Endovascular stent graft  
Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
作者:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
收藏  |  浏览/下载:201/0  |  提交时间:2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
A Rigorous Condition Number Estimate of an Immersed Finite Element Method 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 83, 期号: 2, 页码: 23
作者:  Wang, Saihua;  Wang, Feng;  Xu, Xuejun
收藏  |  浏览/下载:180/0  |  提交时间:2020/06/30
Interface problem  IFE method  Condition number  
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 卷号: 356, 页码: 435-464
作者:  Yang, Jinjin;  Mao, Shipeng;  He, Xiaoming;  Yang, Xiaofeng;  He, Yinnian
收藏  |  浏览/下载:209/0  |  提交时间:2020/01/10
Two-phase MHD flows  Diffuse interface models  Finite element method  Energy stability  Semi-implicit scheme  
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:201/0  |  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  
OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 693-717
作者:  Wang, Fei;  Zhang, Shuo
收藏  |  浏览/下载:167/0  |  提交时间:2019/03/05
Interface problems  Extended finite element methods  Error estimates  Nitsche's scheme  Quadratic element