Research interests

  • Numerical partial differential equations
  • PDE-constrained optimization / inverse problems
  • Reduced order modeling
  • Boundary integral equations
  • High performance computing for engineering problems: computational fluid dynamics, cardiac electrophysiology, acoustic modeling, etc.

Grants

  • Guangdong Natural Science Foundation Youth Promotion Program, Grant 2023A1515030199, RMB300,000, 2023.1-2025.12.
  • National Natural Science Foundation of China, Grant 11801348, RMB250,000, 2019.1-2021.12.

Publications

US Patent

Conference Minisymposium Organizer

  • H. Yang, K. Pieper. Stochastic optimization with differential equations: methods and applications (minisymposium), SIAM Conference on Computational Science and Engineering, February 27-March 3, 2017.
  • L. Bertagna, H. Yang, A. Veneziani. Inverse Problems in Cardiovascular Mathematics (minisymposium), 3rd International Conference on Computational & Mathematical Biomedical Engineering, Hong Kong, December 16-18, 2013.

Presentations

  • "An artificial compressibility CNLF method for the Stoke-Darcy model and application in ensemble simulations", 2022 Annual Meeting of Guangdong Society of Computational Mathematics, Dec.17-18, 2022.
  • "An artificial compressibility CNLF method for the Stoke-Darcy model and application in ensemble simulations", 2021 Academic Annual Meeting of China Mathematical Association, Kunming, China, Oct. 22-27, 2021.
  • "Problems in patient-specific modeling of electrocardiology", Youth Forum on Numerical Algorithms for Delay Systems and Related Problems, Wuhan, China, Oct. 25-28, 2019.
  • "PDE-constrained Optimization in Electrocardiology", China Annual Conference of Computational Mathematics, Haerbin, China, July 31-Aug. 4, 2019.
  • "Electromagnetic scattering from a cavity embedded in an impedance ground plane", China Annual Conference of Computational Mathematics, Haerbin, China, July 31-Aug. 4, 2019.
  • "Optimal control in a bounded domain for wave propagating in the whole space", The 28th Biennial Numerical Analysis Conference, Glasgow, UK, June 25-28, 2019.
  • "Centroidal Voronoi mesh generation by a Lloyd-preconditioned LBFGS method", International Conference on Mathematical Modeling and Numerical Methods, Qingdao, China, May 30-June 2, 2019.
  • "Fast SCVT grid generation: a Lloyd-preconditioned LBFGS method in parallel", 2017 All-Hands ACME PI Meeting, Maryland, US, Jun 5-7, 2017.
  • "Stochastic optimal control for turbofan noise reduction with parallel reduced order modeling", SIAM Conference on Computational Science and Engineering, Atlanta, US, February 27-March 3, 2017.
  • "Model and solution reduction techniques for patient-specific parameter estimation in cardiovascular mathematics: failure and success", Applied Inverse Problems Conference in 2015, Helsinki, Finland, May 25-29, 2015
  • "Atrial Fibrillation Modeling and Data-Driven Cell Model Reduction", group meeting of Imaging & Computer Vision at Siemens Corporate Research, Princeton, Aug 2014
  • "Order Reduced Methods for Cardiac Conductivities Estimation", 3rd International Conference on Computational & Mathematical Biomedical Engineering, Hong Kong, December 16-18, 2013
  • "Variational Estimation of Cardiac Conductivities by a Data Assimilation Procedure", 12th U.S. National Congress on Computational Mechanics, Raleigh, North Carolina, US, July 22-25, 2013
  • "Conductivity Parameters Estimation for the Cardiac Bidomain Model", 5th Annual JohnFest/SIAM Student Conference, Clemson, South Carolina, US, February 8-9, 2013