Yangwen Zhang

Assistant Professor
Applied Mathematics

433 Maxim Doucet Hall
337-482-5287
yangwen.zhang@louisiana.edu
Yangwen Zhang's webpage

Ph.D., 2018, Missouri University of Science and Technology

I joined the Mathematics Department at the University of Louisiana at Lafayette as an Assistant Professor in August 2023. Prior to coming to UL Lafayette, I received my PhD in mathematics from the Missouri University of Science and Technology in 2018. Following this, I embarked on a postdoctoral research journey in the Department of Mathematical Science at the University of Delaware from 2018 to 2021. Subsequently, from Fall 2021 through the Spring of 2023, I extended my postdoctoral pursuits in the Department of Mathematical Science at Carnegie Mellon University.

My research interests span applied mathematics, scientific computing, numerical analysis, and data science. My primary focus revolves around pioneering computational methodologies for tackling partial differential equations, with a distinct emphasis on the hybridizable discontinuous Galerkin (HDG) method. Moreover, I actively explore model order reduction techniques tailored for PDEs, leveraging their application across diverse domains such as optimal control problems, inverse problems, and engineering scenarios. Driven by a profound fascination, I delve into the intricate landscape of data science challenges, seamlessly weaving them into the fabric of PDE-related contexts, encompassing PDE control and model order reduction.

Selected research publications:

• Chen, Gang and Singler, John R. and Zhang, Yangwen
  An HDG method for Dirichlet boundary control of convection dominated diffusion PDEs,
  SIAM J. Numer. Anal., 57 (2019) no. 4, 1919-1946
  

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• Chen, Gang and Monk, Peter and Zhang, Yangwen
  Superconvergent HDG methods for Maxwell's equations via the M-decomposition,
  J. Comput. Appl. Math., 402 (2022), Paper No. 113789, 26
  

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• Chen, Gang and Han, Daozhi and Singler, John R. and Zhang, Yangwen
  On the superconvergence of a hybridizable discontinuous Galerkin method for the Cahn-Hilliard equation,
  SIAM J. Numer. Anal., 61 (2023) no.1, 83-109
  

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• Hu, Weiwei and Shen, Jiguang and Singler, John R., Zhang, Yangwen, and Zheng, Xiaobo
  A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs,
  Numer. Math., 144 (2020) no. 2, 375-411
  

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• Chen, Gang and Monk, Peter and Zhang, Yangwen
  An HDG method for the time-dependent drift-diffusion model of semiconductor devices,
  J. Sci. Comput., 80 (2019) no.1, 420-443
  

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• Chen, Gang and Cockburn, Bernardo and Singler, John R. and Zhang, Yangwen
  Superconvergent interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods,
  Commun. Appl. Math. Comput., 4 (2022) no.2, 477-499
  

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• Cakoni, Fioralba and Lee, Heejin and Monk, Peter and Zhang, Yangwen
  A spectral target signature for thin surfaces with higher order jump conditions,
  Inverse Probl. Imaging, 16 (2022) no.6, 1473-1500
  

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• Chen, Gang and Gong, Wei and Mateos, Mariano and Singler, John R. and Zhang, Yangwen
  A new global divergence free and pressure-robust HDG method for tangential boundary control of Stokes equations,
  Comput. Methods Appl. Mech. Engrg., 405 (2023), Paper No. 115837, 21
  

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• Monk, Peter and Zhang, Yangwen
  An HDG method for the Steklov eigenvalue problem,
  IMA J. Numer. Anal., 42 (2022) no.3, 1929-1962
  

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• Gong, Wei and Mateos, Mariano and Singler, John and Zhang, Yangwen
  Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space,
  SIAM J. Numer. Anal., 60 (2022) no.1, 450-474
  

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