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A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
Authors:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
Favorite  |  View/Download：56/0  |  Submit date：2023/02/07
Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
Authors:  Hong, Jialin;  Sheng, Derui;  Zhou, Tau
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stochastic incompressible Euler equation  convergence order  splitting semi-implicit Euler method  
Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials 期刊论文
ENGINEERING WITH COMPUTERS, 2022, 页码: 21
Authors:  Shen Shangkun;  Yang Zihao;  Cui Junzhi;  Zhang Jieqiong
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Porous materials  Peridynamics  Surface correction  Hybrid model  Adaptive algorithm  Fracture simulation  
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 5, 页码: 23
Authors:  Ding, Qianqian;  Mao, Shipeng;  Sun, Jiaao
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Magnetohydrodynamics  Finite element method  H(div)-conforming element  Error analysis  Pressure-robust  
Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
Authors:  Shen, Yue;  Gong, Wei;  Yan, Ningning
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Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
Authors:  Gong, Wei;  Li, Buyang;  Yang, Huanhuan
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Wave equation  Unbounded domain  Boundary integral equation  Well-posedness  Convolution quadrature  Stability  Convergence  Error estimate  
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
Authors:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
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L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
Authors:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
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Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
Contact-PIC numerical methods for simulating Vlasov-Poisson-Fokker-Planck problem 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 459, 页码: 24
Authors:  Shi, Yanyan;  Sun, Yajuan
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Vlasov-Poisson-Fokker-Planck system  Particle-in-cell technique  Contact method  
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems 期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
Authors:  Chen, Chuchu;  Hong, Jialin;  Sheng, Derui
Favorite  |  View/Download：84/0  |  Submit date：2022/04/29
Hitting probability  Numerical discretization  Stochastic parabolic system  Critical dimension