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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 HÃ o
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.NA2025
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…