My research in computational and applied mathematics is driven by applications. I am interested in the 
development, analysis and implementation of numerical methods for linear and nonlinear partial differential 
equations. Specifically, I am interested in solving various mathematical models in fluid structure interaction, 
poroelasticity, fluid dynamics, and plasma physics. I'm also interested in the development of physics informed 
machine learning for dynamical systems and partial differential equations. I would love to pursue collaborative 
research in other areas of applied mathematics and machine learning. I am willing to learn new material in 
order to expand my research potential. 

JOURNAL PUBLICATION

Boqian Shen and Beatrice Riviere, “A Sequential Discontinuous Galerkin Method for Two-Phase 
Flow in Deformable Porous Media”, submitted.  https://arxiv.org/abs/2201.08571

Rami Masri, Boqian Shen, and Beatrice Riviere, “Discontinuous Galerkin Approximations to Elliptic 
and Parabolic Problems with a Dirac Line Source”, in preparation.

Huang, C. K., Li, F. Y., Rakotoarivelo, H. N., Shen, B., Domine, J., Carlsten, B., ... & Robey, R. (2021). 
CoSyR: a novel beam dynamics code for the modeling of synchrotron radiation effects.
 https://arxiv.org/abs/2109.14901

CONFERENCE PRESENTATIONS AND POSTERS

2022 Finite Element Rodeo at SMU, Dallas, TX. March 4-5, 2022.

The Finite Element Circus at Penn State University on November 5-6, 2021
A Discontinuous Galerkin Method for the Two-Phase Flow in Deformable Porous Media, poster 
presentation at SIAM Conference on Mathematical & Computational Issues in the Geosciences 
(GS21), virtual conference, June 21-24, 2021. Best Poster Award, SIAM GS21 

A Sequential Scheme for the Two-Phase Flow in Deformable Porous Media, poster presentation 
at 2020 HPC Oil and Gas conference, Houston, TX, March 2-4, 2020.

A Discontinuous Galerkin Scheme for the Two-Phase Flow in Deformable Porous Media, oral 
presentation, Finite Element Rodeo, Waco, TX, February 28-29, 2020.

Hybrid Parallelization for the Computation of Synchrotron Radiation, contributed talk at SIAM 
Conference on Parallel Processing (PP20), Seattle, WA, February 12-15, 2020.

Numerical Method and Hybrid Parallelization for the Computation of Synchrotron Radiation in 
the Near-Field. poster presentation at SuperComputing (SC19), Denver, CO, November 17-22, 2019.

A Particle-Based Numerical Method for Solving Vlasov-Poisson Plasma Models, poster presentation 
at SIAM Computational Science and Engineering 2017, Atlanta, GA, February 27-March 3, 2017.