王皓Hao Wang
副教授Associate Professor


联系方式/Contact Information
Email :wangh@scu.edu.cn
地址:四川大学数学学院，成都市一环路南一段24号，成都，610065
No. 24, South Section One Yihuan Road, Chengdu, 610065, China

研究兴趣/Research Interest
1.材料多尺度模型的建模、分析与数值模拟/ Multiscale modeling, analysis and simulation in material
2.自适应方法及其在多尺度模型中的应用/ Adaptive methods and applications in multiscale methods
3.偏微分方程数值计算方法/ Numerical Methods for PDEs
4.基于概率图的机器学习与人工智能方法/Machine learning and artificial intelligence based on probabilistic graphical models
教育经历/Education
牛津大学计算数学博士／DPhil in Numerical Analysis in University of Oxford，2008-2013
四川大学数学与应用数学学士 ／Batchelor in Mathematics，2004-2008

科研项目／Research Funding and Projects
国家自然科学基金面上基金项目编号**，《晶体缺陷的多尺度耦合及其自适应方法》,项目负责人， 资助期限：2020.1-2023.12/ NSFC General Fund No. **, Multiscale Coupling Method for Crystal Defects and its Adaptivity, PI, Jan. 2020- Dec. 2023.
国家重点研发计划项目《高质高效的审判支撑关键技术》子课题《基于概率图模型的量刑智能辅助技术研究》，项目负责人，资助期限2018.7-2021.6 /Subtask No. 2018YFC**-3, Predicative Methods for Criminal Judgement based on Probability Graphics (under National Key R&D Program No. 2018YFC**, Key Technology and Equipment for Assisting Trial and Judicial Judgement with High Quality and Efficiency), PI, Jul. 2018 – Jun. 2021.
国家自然科学基金青年基金项目编号**,《原子／连续耦合模型的后验误差估计及其自适应》,项目负责人， 资助期限：2016.1-2018.12 /NSFC Youth Fund No. **, A Posteriori Error Estimates and Adaptivity for the Atomistic/Continuum Coupling Methods, PI, Jan. 2016 – Dec. 2018
国家自然科学基金面上项目编号**,《两类多尺度方法的建模、分析及应用》,项目主研，资助期限：2015.1-2018.12/ NSFC General Fund No. **, Construction, Analysis and Applications of Two Classes of Typical Multiscale Methods, Co-PI, Jan. 2015- Dec. 2018.

发表论文/ Publications
Wei Pi, Hao Wang, Xiaoping Xie,A New Post-Processing Technique for Finite Element Methods with L2-Superconvergence, to appear in East Asian Journal on Applied Mathematics.
Qiang Ma, Hao Wang, Zhiqiang Yang, Zhihui Li,Junzhi Cui, Secon-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures, Journal of Scientific Computing, 2019, 81(2), 689-731.
Huajie Chen, Mingjie Liao, Hao Wang, Yangshuai Wang and Lei Zhang, Adaptiv QM/MM Coupling for Crystalline Defects, Computer Methods in Applied Mechanics and Engineering, 2019,354,351-368.
Hao Wang, Shaohui Liu and Feng Yang, A Posteriori Error Control for Three Typical Force-Based Atomistic-to-Continuum Coupling Methods for an Atomistic Chain, Numerical Mathematics: Theory, Methods and Applications, 2019, 12(1), 233-264.
Hao Wang, Mingjie Liao, Ping Lin and Lei Zhang, A Posteriori Error Estimation and Adaptive Algorithm for the Atomistic/continuum Coupling in 2d, SIAM Journal on Scientific Computing, 2018, 40(4): A2087-2119.
Hao Wang and Siyao Yang, Analysis of the Residual Type and the Recovery Type a Posteriori Error Estimators for a Consistent Atomistic-to-continuum Coupling Method in One Dimension, Multiscale Modeling and Simulation, 2018, 16(2): 679-709.
Christoph Ortner and Hao Wang, A Posteriori Error Control for a Quasi-continuum Approximation of a Periodic Chain, IMA Journal of Numerical Analysis,2014,34(3):977-1001.
Christoph Ortner, Hao Wang ,A Priori Error Estimates for Energy-based Quasicontinuum Approximations of a Periodic Chain,Mathematical Models and Methods in Applied Sciences,2011,21(12):2491-2521.
教学经历/Teaching Experience
本科教学/ Undergraduate Courses：
微分方程数值解I-有限差分法/ Numerical Solutions to Differential Equations I – Finite Difference Methods,微分方程数值解II-有限元法/ Numerical Solutions to Differential Equations II – Finite Element Methods,数值最优化/ Numerical Optimization,数字信号处理/ Digital Signal Processing,工程数值计算方法/ Numerical Methods for Engineers,多元微积分/ Multivariable Calculus
研究生教学/ Graduate Courses：
连续介质力学/ Continuum Mechanics，多尺度方法/ Multiscale Methods，量子力学/ Quantum Mechanics