Research

My research area is numerical PDEs, with an interest in CFD and fluid-structure interaction. I am currently working on a project on partitioned methods for two-domain problems, and on a project of long-time stability of NSE using Cauchy's theta method.

Papers

I. Barrio Sanchez, A. S. Almgren, J. B. Bell, M.T. Henry de Frahan, W. Zhang, “A new Re-redistribution Scheme for Weighted State Redistribution with Adaptive Mesh Refinement”, 2024, Journal of Computational Physics. [Link]

A. Naz, M. Lu, C. Broyles, I. Barrio Sanchez, “Competition of VEX Educational Robotics to Advance Girl’s Education (COVERAGE)”, June 2020, 2020 ASEE Virtual Annual Conference.[Link]

Presentations

“Long-term H¹-Stability of Cauchy's Method for the Navier-Stokes Equations.” The 42nd Southeastern-Atlantic Regional Conference on Differential Equations. November 9th, 2024. [SEARCDE 2024].

“Second-order partitioned algorithms with subiterations.” 11th Graduate Student Conference, Clemson University, April 20th, 2024. [Conference page].

“A new Re-redistribution Scheme for Weighted State Redistribution with Adaptive Mesh Refinement.” AWM Student Seminar, November 10, 2023. [Link]

“A new Re-redistribution Scheme for Weighted State Redistribution with Adaptive Mesh Refinement.” Computing Sciences Summer Program Poster Session, August 10, 2023.

“Competition of VEX Educational Robotics to Advance Girl’s Education (COVERAGE).” 2020 ASEE Virtual Annual Conference, Computers in Education Division Technical Session 10: STEM Outreach, June 2020.