Profile
Amy De Castro
Mathematical and Statistical Sciences
Graduate Research Assistant
864-656-3434
Martin Hall M306 [Office]
Educational Background
M.S., Mathematics, Clemson University, 2020
B.S., Mathematics, Union University, 2014
Research Interests
Coupling methods for PDEs; finite element methods; reduced order modeling
Courses Taught
Fall 2021 / Spring 2022: MATH 1010 (Essential Mathematics for the Informed Society)
Fall 2022: STAT 2220 (Statistics in Everyday Life)
Fall 2023: MATH 1060 (Calculus of 1 Variable)
Spring 2024: MATH 1080 (Calculus of 1 Variable II)
Selected Publications
1. A. de Castro, H. Lee, and M.M. Wiecek. Formulation and analysis of a Lagrange multiplier method for fluid-poroelastic structure interaction. In progress.
2. A. de Castro, H. Lee, and M.M. Wiecek. Reduced order modeling for fluid poroelastic structure interaction: a Lagrange multiplier method. In progress.
3. A. de Castro, P. Kuberry. Comparing Stability of Partitioned Heterogeneous Time-Integration Methods Involving Index-2 DAEs Resulting from High-Order AM and BDF Schemes. To appear in Computer Science Research Institute Summer Proceedings 2024.
4. A. de Castro, H. Lee, and M.M. Wiecek. A Lagrange multiplier method for fluid-structure interaction: well-posedness and domain decomposition. In submission. Available at SSRN 4890740.
5. A. de Castro, H. Lee, and M.M. Wiecek (2024). Reduced order modeling for a Schur complement method for fluid-structure interaction. Journal of Computational Physics, Vol. 515, pp. 113282.
6. A. de Castro, P. Bochev, P. Kuberry, and I. Tezaur (2023). Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases. Computer Methods in Applied Mechanics and Engineering, Vol. 417, pp. 116398
7. A. de Castro, P. Kuberry, I. Tezaur, and P. Bochev. A Novel Partitioned Approach for Reduced Order Model-Finite Element Model (ROM-FEM) and ROM-ROM Coupling, in: C.B. Dreyer, J. Littell (Eds.), Earth and Space 2022, American Society of Civil Engineers, 2023, pp. 475-489.
8. A. de Castro, P. Kuberry, I. Tezaur, and P. Bochev. A Synchronous Partitioned Scheme for Coupled Reduced Order Models Based on Separate Reduced Order Bases for the Interior and Interface Variables, in Computer Science Research Institute Summer Proceedings 2022, S.K. Seritan and J.D. Smith, eds., Technical Report SAND2022-10280R, Sandia National Laboratories, 2022, pp. 78-92.
9. A. de Castro, P. Kuberry, and P. Bochev. Partitioned Solution of a Coupled Reduced Order Model-Finite Element Model (ROM-FEM model) for a Transmission Problem, in Computer Science Research Institute Summer Proceedings 2021, J.D. Smith and E. Galvan, eds., Technical Report SAND2022-0653R, Sandia National Laboratories, 2021, pp. 24-37.
Selected Talks
• A partitioned scheme and reduced order modeling for fluid interaction systems with poroelastic structures, presented at Eleventh Annual Graduate Student Mini-Conference in Computational Mathematics: Clemson, SC; April 2024
• A Lagrange multiplier partitioned scheme for coupled reduced order models based on composite reduced bases, presented at 2nd IACM Mechanistic Machine Learning and Digital Engineering for CSE and Technology: El Paso, TX; Sept. 2023
• A Partitioned Method for Reduced Order Model-Finite Element Model (ROM-FEM) and ROM-ROM Couplings with Separate Reduced Bases for Interior and Interface Variables, presented at SIAM Conference on Computational Science and Engineering: Amsterdam, February/March 2023
• A partitioned method for the solution of fluid-structure interaction and ROM implementation, presented at Tenth Annual Graduate Student Mini-Conference in Computational Mathematics: Auburn, AL; December 2022
• A Partitioned Method for the Solution of Fluid-Structure Interaction: Methodology and Reduced Order Modeling, poster presented at Women in Scientific Computing on Complex Physical and Biological Systems: Gainesville, FL; October 2022
• Formulation of Partitioned Schemes with Non-Standard Computational Models, presented at World Congress on Computational Mechanics: Virtual; July 2022
• A Novel Partitioned Approach for Reduced Order Model – Finite Element Model (ROM-FEM) and ROM-ROM Coupling, presented at Copper Mountain Conference on Iterative and Multigrid Methods: Virtual, April 2022
• A Novel Partitioned Approach for Reduced Order Model - Finite Element Model (ROM-FEM) and ROM-ROM Coupling, presented at Earth and Space Conference: Denver, C.O., April 2022
• Partitioned solution of a coupled ROM-FEM model for a transmission problem, presented at SIAM Southeastern Atlantic Section Conference: Virtual, September 2021
• Experiment Meets Mathematics: Modeling of Self Healing Polymers, poster presented at MADE in SC: All-Faculty Meeting and Research Fellows Conference: September 2019
