张晓平｜武汉大学｜学者主页

2026

A vertex-centered finite volume method for solute transport in porous media on arbitrary polygonal meshes

Yingzhi Qian, Xiaoping Zhang, Yan Zhu, Lili Ju, Jiesheng Huang

Computer Methods in Applied Mechanics and Engineering

DOI

2026

Geometry‐Aware Transferable Neural Networks for Solving Partial Differential Equations on Surfaces

Tao Cheng, Junqing Jia, Lili Ju, Xiaoping Zhang

Numerical Methods for Partial Differential Equations

DOI

2026

An unsupervised deep surrogate model integrating with finite difference method for solving parameterized soil water flow equation

Guanda Zhu, Yan Zhu, Xiaoping Zhang, Lili Ju

Advances in Water Resources

DOI

2026

High‐Order Accurate Taylor Correction‐Based Backward Differentiation Formulas With Spatial Transferable Neural Networks for Moving Interface Problems

Tao Cheng, Lili Ju, Zhonghua Qiao, Xiaoping Zhang

International Journal for Numerical Methods in Engineering

DOI

2025

基于物理约束与数据驱动的求解地下水方程深度学习算法

李存文，马千禧，朱焱，张晓平，罗强

《中国农村水利水电》

2025

A novel deep convolutional surrogate model with incomplete solve loss for parameterized steady-state diffusion problems

Junqing Jia, Xiaoping Zhang, Shuting Wang, Lili Ju, Hui Feng

Journal of Computational Physics

DOI

2025

A Physics‐Informed Deep Learning Method With Adaptively Weighted Loss for Modeling Soil Water Flows

Cunwen Li, Yan Zhu, Xiaoping Zhang, Lili Ju, Qiang Luo, Hui Feng

Water Resources Research

DOI

2025

Unsupervised deep surrogate model integrating with finite volume method for solving parametrized groundwater flow equations with varying multi-point sources

Junqing Jia, Yan Peng Zhu, Xiaoping Zhang, Lili Ju

Journal of Hydrology

DOI

2025

A multiscale algorithm for soil water flow and solute transport simulations and its application in subsurface drainage system optimization

Yingzhi Qian, Yan Zhu, Xiaoping Zhang, Alberto Guadagnini, Jiesheng Huang

DOI

2024

Composite trapezoidal quadrature for computing hypersingular integrals on interval

Xiaoping Zhang, Jin Li

AIMS Mathematics

DOI

2024

Deep Surrogate Model for Learning Green’s Function Associated with Linear Reaction-Diffusion Operator

Junqing Jia, Lili Ju, Xiaoping Zhang

International Journal of Numerical Analysis and Modeling

DOI

2024

A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement

Yingzhi Qian, Xiaoping Zhang, Yan Peng Zhu, Lili Ju, Alberto Guadagnini, Jiesheng Huang

Journal of Computational Physics

DOI

2023

A Local Grid-Refined Numerical Groundwater Model Based on the Vertex-centred Finite-Volume Method

Yingzhi Qian, Yan Peng Zhu, Xiaoping Zhang, Jiming Wu, Ming Ye, Wei Mao, Jingwei Wu, Jiesheng Huang, Jinzhong Yang

Advances in Water Resources

DOI

2022

On an Adaptive LDG for the $P$-Laplace Problem

Dongjie Liu, Le Zhou, Xiaoping Zhang

International Journal of Numerical Analysis and Modeling

DOI

2022

GW-PINN: A deep learning algorithm for solving groundwater flow equations

Xiaoping Zhang, Yan Peng Zhu, Jing Wang, Lili Ju, Yingzhi Qian, Ming Ye, Jinzhong Yang

Advances in Water Resources

DOI

2021

Collocation method for one dimensional nonlocal diffusion equations

Qingguang Guan, Max Gunzburger, Xiaoping Zhang

Numerical Methods for Partial Differential Equations

DOI

2019

Machine‐Learning Methods for Water Table Depth Prediction in Seasonal Freezing‐Thawing Areas

Tianxing Zhao, Yan Peng Zhu, Ming Ye, Wei Mao, Xiaoping Zhang, Jinzhong Yang, Jingwei Wu

Ground Water

DOI

2019

A New Collocation Method for Solving Certain Hadamard Finite-Part Integral Equation

Hui Feng, Yan Gao, Lili Ju, Xiaoping Zhang

International Journal of Numerical Analysis and Modeling

DOI

2018

Developing a Long Short-Term Memory (LSTM) based model for predicting water table depth in agricultural areas

Jianfeng Zhang, Yan Peng Zhu, Xiaoping Zhang, Ming Ye, Jinzhong Yang

Journal of Hydrology

DOI

2017

A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids

Xiaoping Zhang, Shuai Su, Jiming Wu

Journal of Computational Physics

DOI

2017

The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval

Dongjie Liu, Jiming Wu, Xiaoping Zhang

Journal of Computational and Applied Mathematics

DOI

2014

L2 error estimates of collocation methods for solving certain singular integral equations

Hui Feng, Yang Liu, Xiaoping Zhang

Applied Mathematics and Computation

DOI

2013

A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids

Weiwei Sun, Jiming Wu, Xiaoping Zhang

Computer Methods in Applied Mechanics and Engineering

DOI

2012

A collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis

Dongjie Liu, Xiaoping Zhang, Jiming Wu

Applied Mathematics and Computation

DOI

张晓平

精选作品

期刊论文

A vertex-centered finite volume method for solute transport in porous media on arbitrary polygonal meshes

Geometry‐Aware Transferable Neural Networks for Solving Partial Differential Equations on Surfaces

An unsupervised deep surrogate model integrating with finite difference method for solving parameterized soil water flow equation

High‐Order Accurate Taylor Correction‐Based Backward Differentiation Formulas With Spatial Transferable Neural Networks for Moving Interface Problems

基于物理约束与数据驱动的求解地下水方程深度学习算法

A novel deep convolutional surrogate model with incomplete solve loss for parameterized steady-state diffusion problems

A Physics‐Informed Deep Learning Method With Adaptively Weighted Loss for Modeling Soil Water Flows

Unsupervised deep surrogate model integrating with finite volume method for solving parametrized groundwater flow equations with varying multi-point sources

A multiscale algorithm for soil water flow and solute transport simulations and its application in subsurface drainage system optimization

Composite trapezoidal quadrature for computing hypersingular integrals on interval

Deep Surrogate Model for Learning Green’s Function Associated with Linear Reaction-Diffusion Operator

A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement

A Local Grid-Refined Numerical Groundwater Model Based on the Vertex-centred Finite-Volume Method

On an Adaptive LDG for the $P$-Laplace Problem

GW-PINN: A deep learning algorithm for solving groundwater flow equations

Collocation method for one dimensional nonlocal diffusion equations

Machine‐Learning Methods for Water Table Depth Prediction in Seasonal Freezing‐Thawing Areas

A New Collocation Method for Solving Certain Hadamard Finite-Part Integral Equation

Developing a Long Short-Term Memory (LSTM) based model for predicting water table depth in agricultural areas

A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids

The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval

L2 error estimates of collocation methods for solving certain singular integral equations

A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids

A collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis

预印本

Generalized Transferable Neural Networks for Steady-State Partial Differential Equations

AECSF: Adaptive Ensemble Conditional Score Filtering for High-Dimensional Nonlinear Data Assimilation

Efficient and Accurate Lift-and-Decoupling Generalized Transferable Neural Networks for Elliptic and Moving Interface Problems

A Symmetric Vertex-Centered Finite Volume Method on Arbitrary Polygonal Meshes for Surface Diffusion Equations

Learning Green's Functions of Linear Reaction-Diffusion Equations with Application to Fast Numerical Solver

研究方向