1. Numerical methods for biomechanic models involving fluid flow, elasticity, and poroelasticity; Numerical methods for fluid/elastic material, fluid/porous media, fluid/poroelastic material interaction problems.
2. Stable discretizations (FEM, FVM, FDM) and fast solvers (Multigrid Methods, Domain Decomposition Methods and Preconditioning) for saddle point problems, interface problems, inverse problems and nearly singular problems.
3. Applied numerical linear algebra
Applications including image processing, data mining, and big data analysis.
Some research projects:
Graduate Students:
1. Mr. Sabeel, Khan (Master student), Technical University of Dortmund, 12/2008-07/2009. Master thesis: Phase field methods for Multi-phase flow simulations.
2. Mr. Christopher, Gaines (Master student), Morgan State University, 05/2016-12/2016. Project: An efficient algorithm for computing the nearest correlation matrix by using Tony Chan's preconditioner.
3. Ms. Fangfang, Qin (PhD student, now working as an assistant professor at Nanjing University of Posts and Telecommunications), Nanjing Normal University, 09/2015-now. Project: Immersed finite element methods for linear elasticity interface problems.
4. Ms. Jasmine, Alston (PhD student), Morgan State University, 10/2016-05/2018. Research interests: Data mining and numerical linear algebra.
5. Ms. Sharaf, Kholoud (Master student, co-advised with Dr. Guoping Zhang), Morgan State University, 03/2017-07/2017, Research interests: analysis of partial differential equations.
6. Mr. Abdoul Sall (Master student), Morgan State University, 01/2018-06/2018. Research interests: numerical methods.
7. Mr. Dave Evans (Master student), Morgan State University, 01/2018-01/2019. Research interests: parallel solvers for some PDEs.
8. Mr. Serges Love Teutu Talla, Math major, Master student, 06/2019-08/2019
Undergraduate Students:
1. Mr. William, III, Honablew, Math major, Morgan State University, 03/2017-05/2018, Research interests: numerical methods for partial differential equations.
2. Mr. Davis Orubele, EE major, Morgan State University, 06/2017-12/2018, Research interests: Matlab program for plotting figures and computations)
3. Mr. Dexter Harris, CE major, Morgan State University, 08/2017-05/2018, Research interests: mesh generation.
4. Mr. Lemech Barnes, EE major, Morgan State University, 09/2017-02/2019, Research interests: python programming for PDEs.
5. Mr. Akinolu Olagunju, EE major, Morgan State University, 01/2018-03/2019, Research interests: scientific editing and Matlab programming.
6. Mr. Jerel Roane, Math major, Morgan State University, 08/2018-12/2018, Research interests: scientific editing and Matlab programming.
7. Ms. Azizah Conerly, EE major, got intership from NIST in Summer of 2019, 02/2019-now
8. Mr. Muhammad Moiz, EE major, 02/2019-07/2019, Scientific editing and Matlab programming.
9. Mr. Tamajong Nchukwi, CS major, got internship from google in Summer 2019, 04/2019-now
10. Da'shawn Larry, CS major, 05/2019-now
11. Xavier Ray, CS major, 08/2019-now