冷海涛｜广州大学｜学者主页

期刊论文

2026

𝑊^{1,∞} and 𝐿^{∞} error estimates for an IP-HDG method for second-order elliptic problem with application to pointwise tracking optimal control

Hai-Tao Leng, Huang-Xin Chen

Mathematics of Computation

DOI

2026

Existence, Uniqueness, and Regularity of Weak Solutions of Thermodynamically Consistent Two-Phase Porous Media Flow Models

Huang-Xin Chen, Jisheng Kou, Hai-Tao Leng, Shuyu Sun, Hai-Ming Zhao

East Asian Journal on Applied Mathematics

DOI

2026

HDG methods for the semilinear elliptic optimal control problem: a priori and a posteriori error estimates

Huang-Xin Chen, Hai-Tao Leng

Advances in Computational Mathematics

DOI

2026

Pointwise error estimates of a hybridized discontinuous Galerkin method for the Stokes equation in convex polyhedral domains

Huang-Xin Chen, Hai-Tao Leng

Science China Mathematics

DOI

2025

An adaptive HDG method for the pointwise tracking optimal control problem of elliptic equations

Yanping Chen, Hai-Tao Leng

Applied Numerical Mathematics

DOI

2025

HDG methods for incompressible and immiscible two-phase flow in porous media: the existence and convergence of discrete solutions

Hai-Tao Leng, Huang-Xin Chen

ESAIM: Mathematical Modelling and Numerical Analysis

DOI

2025

Maximum-norm estimates of an IP-HDG method for parabolic problems on general polyhedral meshes

Huangxin Chen, Haitao Leng, Weifeng Qiu

IMA Journal of Numerical Analysis

DOI

2024

An exactly divergence-free hybridized discontinuous Galerkin method for the generalized Boussinesq equations with singular heat source

Hai-Tao Leng

ESAIM: Mathematical Modelling and Numerical Analysis

DOI

2024

An adaptive hybridizable discontinuous Galerkin method for Darcy-Forchheimer flow in fractured porous media

Hai-Tao Leng, Huang-Xin Chen

Mathematical Models and Methods in Applied Sciences

DOI

2023

A Posteriori Error Analysis for Pressure-Robust HDG Methods for the Stationary Incompressible Navier–Stokes Equations

Hai-Tao Leng

Journal of Scientific Computing

DOI

2023

Adaptive interior penalty hybridized discontinuous Galerkin methods for Darcy flow in fractured porous media

Hai-Tao Leng, Huang-Xin Chen

IMA Journal of Numerical Analysis

DOI

2023

Error Estimates of EDG-HDG Methods for the Stokes Equations with Dirac Measures

Hai-Tao Leng

Journal of Scientific Computing

DOI

2022

Analysis of an HDG method for the Navier-Stokes equations with Dirac measures

Hai-Tao Leng

ESAIM: Mathematical Modelling and Numerical Analysis

DOI

2022

A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source

Hai-Tao Leng, Yan-Ping Chen

ESAIM: Mathematical Modelling and Numerical Analysis

DOI

2022

Adaptive $H$(div)-Conforming Embedded-Hybridized Discontinuous Galerkin Finite Element Methods for the Stokes Problems

Yihui Han null, Hai-Tao Leng

CSIAM Transactions on Applied Mathematics

DOI

2021

Adaptive HDG Methods for the Steady-State Incompressible Navier–Stokes Equations

Hai-Tao Leng

Journal of Scientific Computing

DOI

2021

Adaptive HDG Methods for the Brinkman Equations with Application to Optimal Control

Hai-Tao Leng, Huang-Xin Chen

Journal of Scientific Computing

DOI

2020

Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems

Hai-Tao Leng, Yan-Ping Chen

Advances in Computational Mathematics

DOI

2020

Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems

Hai-Tao Leng, Yan-Ping Chen

Advances in Computational Mathematics

DOI

2019

Equivalent a posteriori error estimates for elliptic optimal control problems with L1-control cost

Hai-Tao Leng, Yan-Ping Chen, Yun-Qing Huang

Computers and Mathematics with Applications

DOI

2017

Convergence and Quasi-Optimality of an Adaptive Finite Element Method for Optimal Control Problems on L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsid

Hai-Tao Leng, Yan-Ping Chen

Journal of Scientific Computing

DOI

2017

Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint

Hai-Tao Leng, Yan-Ping Chen

Advances in Computational Mathematics

DOI

预印本

2026

A unified analysis of maximum-norm estimates for a class of HDG methods for parabolic problem in polyhedral domains

Huangxin Chen, Haitao Leng, Weifeng Qiu

arXiv (Cornell University)

DOI

2026

An Interface Green's Function Framework for Complete Discrete $W^{1,\infty}$ Analysis of Discontinuous Galerkin Methods

Haitao Leng, Weifeng Qiu

arXiv (Cornell University)

DOI

冷海涛

精选作品

期刊论文

𝑊^{1,∞} and 𝐿^{∞} error estimates for an IP-HDG method for second-order elliptic problem with application to pointwise tracking optimal control

Existence, Uniqueness, and Regularity of Weak Solutions of Thermodynamically Consistent Two-Phase Porous Media Flow Models

HDG methods for the semilinear elliptic optimal control problem: a priori and a posteriori error estimates

Pointwise error estimates of a hybridized discontinuous Galerkin method for the Stokes equation in convex polyhedral domains

An adaptive HDG method for the pointwise tracking optimal control problem of elliptic equations

HDG methods for incompressible and immiscible two-phase flow in porous media: the existence and convergence of discrete solutions

Maximum-norm estimates of an IP-HDG method for parabolic problems on general polyhedral meshes

An exactly divergence-free hybridized discontinuous Galerkin method for the generalized Boussinesq equations with singular heat source

An adaptive hybridizable discontinuous Galerkin method for Darcy-Forchheimer flow in fractured porous media

A Posteriori Error Analysis for Pressure-Robust HDG Methods for the Stationary Incompressible Navier–Stokes Equations

Adaptive interior penalty hybridized discontinuous Galerkin methods for Darcy flow in fractured porous media

Error Estimates of EDG-HDG Methods for the Stokes Equations with Dirac Measures

Analysis of an HDG method for the Navier-Stokes equations with Dirac measures

A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source

Adaptive $H$(div)-Conforming Embedded-Hybridized Discontinuous Galerkin Finite Element Methods for the Stokes Problems

Adaptive HDG Methods for the Steady-State Incompressible Navier–Stokes Equations

Adaptive HDG Methods for the Brinkman Equations with Application to Optimal Control

Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems

Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems

Equivalent a posteriori error estimates for elliptic optimal control problems with L1-control cost

Convergence and Quasi-Optimality of an Adaptive Finite Element Method for Optimal Control Problems on L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsid

Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint

预印本

A unified analysis of maximum-norm estimates for a class of HDG methods for parabolic problem in polyhedral domains

An Interface Green's Function Framework for Complete Discrete $W^{1,\infty}$ Analysis of Discontinuous Galerkin Methods

研究方向