Anisotropic mesh adaptation and adaptive finite element methods.

Domain decomposition methods with non-matching grids.

Fuel cell dynamics.

Fluid-structure interaction (FSI).

Phase field methods.

Convection (dominated)-diffusion-reaction equations.

Thin film flow problem with moving contact lines.

An extreme-mass-ratio binary system arising from a black hole problem.

Two-phase flow problems.

Linear elasticity, viscoelasticity, and elastoplasticity problems.

Integro-differential equations.

Multiphase compressible displacement in porous media.

Simons Foundation Grant MPS-706640 (PI), “Novel Arbitrary Lagrangian-Eulerian Finite Element Method for Cardiovascular Fluid-Structure-Poroelastic Structure Interaction Problems”, 9/1/2020 – 8/31/2025.   Award #

The Best Paper Award of International Conference on Computational Science (ICCS, an A-rank conference in the CORE classification), Amsterdam, The Netherlands, June 3-5, 2020.

Distinguished Researcher Award, College of Sciences, UNLV, 2015.

NSF Grant DMS-1418806 (PI), “Advanced Modeling, Numerical Studies and Analysis of Fluid-Structure Interaction Problems”, 9/1/2014 – 8/31/2018.

UNLV Faculty Opportunity Award (PI), “Modeling and Numerical Studies for a Two-phase Transport Model of Polymer Electrolyte Membrane Fuel Cells”,  7/1/2013 – 12/31/2014.

Travel Grant Awards: NSF (2013), UNLV (2012-present).

NSF Grant DMS-0913757 (PI), “Efficient numerical techniques of two-phase transport model in the cathode of hydrogen polymer electrolyte fuel cell”, 9/15/2009 – 8/31/2013.

UNLV Research Development Award (PI), “High Performance Numerical Simulation on 3D Direct Methanol Fuel Cell (DMFC) Modeling”, 7/1/2008 – 7/31/2009.

Current Ph.D. students:

• Linjie Ying (2022-present). Winners of:

  • Summer Doctoral Research Fellowship (2024);

  • UNLV Graduate Access Grant (2023).