Research
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.