activity
20242026
most citedA fitted space-time finite element method for an advection-diffusion problem with moving interfaces

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

cs.RO2026

AeroEval: Staged Program and Execution Validation for AI-Generated Drone Missions

Kautuk Astu, Naina Rabha, Yogesh Simmhan

Large Language Models (LLMs) can generate drone programs from natural-language mission descriptions, but syntactically valid programs may still violate user intent, environmental c…

math.OC2025

A space-time interface-fitted method for moving-subdomain distributed control problems with energy regularization

Quang Huy Nguyen, Phuong Cuc Hoang, Van Chien Le +1

This paper investigates a space-time interface-fitted approximation of a moving-interface optimal control problem with energy regularization. We reformulate the optimality conditio…

math.NA2025

Improved a priori error estimates for a space-time finite element method for parabolic problems

Thi Thanh Mai Ta, Quang Huy Nguyen, Phi Hung Pham

In this paper, we employ a space-time finite element method to discretize the parabolic initial-boundary value problem and extend its error analysis with refined estimates on unstr…

math.NA2025

Error analysis of the space-time interface-fitted finite element method for an inverse source problem for an advection-diffusion equation with moving subdomains

Thi Thanh Mai Ta, Quang Huy Nguyen, Dinh Nho Hào

A space-time interface-fitted approximation of an inverse source problem for the advection-diffusion equation with moving subdomains is investigated. The problem is reformulated as…

math.NA2024★ 1 cited

A fitted space-time finite element method for an advection-diffusion problem with moving interfaces

Quang Huy Nguyen, Van Chien Le, Phuong Cuc Hoang +1

This paper presents a space-time interface-fitted finite element method for solving a parabolic advection-diffusion problem with a nonstationary interface. The jumping diffusion co…