Funded Projects
DOE::Science Foundations for the Energy Earthshots Link
DE-SC0024703
Advanced Multi-Physics Machine Learning for Subsurface Energy Systems Across Scales
PI: The Univeristy of Texas at El Paso, (Co-PIs) Florida State University, Sandia Nationanl Lab, University of Utah
10/2023-9/2026
NSF:: DMS-2208402 *Supplemental
Dear Colleague Letter: Non-Academic Research Internships for Graduate Students in Geothermal Energy Supplemental Funding Opportunity (Geothermal INTERN), 06/2023-05/2024
NSF:: DMS-2208402
Collaborative Research: Physics-Preserving Adaptive Finite Element Methods for Thermo-Poroelasticity
06/2022-06/2025,
link
MDS::#045490 (The Multidisciplinary Support program)
Studies for Degradation of Lignin-based Biodegradable Plastics to Prevent Marine Debris
2020 - 2021
NSF:: DMS-1913016
Fluid-filled Fracture Propagation with a Phase Field Approach in Subsurface by Employing Nonlinear Strain Limiting Models and Enriched Galerkin Methods
::
link
08/01/2019 - 7/31/2022
CRC::041950, FYAP (First Year Assistant Professor Award)
Optimal error estimate of flow problems with Dirac sources in subsurface for discontinuous and enriched Galerkin methods
5/7/2018-8/3/2018
News and Upcoming Events
2024
● [12-16th Feburary 2024] ICERM Numerical Analysis of Multiphysics Problems, Brown University, Providence
(link)
● [21st March 2024] Affiliates Meeting, The Center for Subsurface Modeling, The University of Texas at Austin, Austin, TX
● [23-24th March 2024] AMS Spring Southeastern Sectional Meeting, Florida State University, Tallahassee, FL
(link)
News link
● [5-7th April 2024] Southeast Applied and Computational Math Student Workshop, Georgia Institute of Technology, Atlanta, GA
(link)
● [12th April 2024] Machine Learning Seminar, Department of Mathematics, Florida State University
● [May 2024] Visiting Leibniz University Hannover, Germany
● [8-12 July 2024] SIAM Annual Meeting, Spokane, Washington
(link)
● [15-16 July 2024] NSF PI meeting, Seattle, Washington
● [21-26 July 2024] WCCM 20234, Vancouver, British Columbia, Canda
(link)
Research Interest
● Design, analysis and implementation of numerical methods for partial differential equations.
● Computational mathematics with high performance computing in the area of interdisciplinary multi physics and multi scale real world problems
● Free boundary
multiphase problems
employing
projection methods for Navier Stokes systems and
level set methods with adaptive finite element methods.
Link
● Analyses and computations of newly developed
'enriched Galerkin' approximation methods for coupling flow and transport for
complexed fluid in porous media.
● Big data analytics for extraction of fracture related information in subsurface systems and advanced computational approaches for modeling
fracture propagation by using Biot system and phase field to couple flow and geomechanics.
● Employing
Machine learning/Deep learning/Neural networks process for solving partail differential equations
Finite Element Packages
● deal.II
● FEniCS
● HAZmath
