3 papers
math.AP2025
Parabolic PDEs on a fixed domain with evolving subdomains: function spaces and well-posedness
Van Chien Le, Karel Van Bockstal
This paper develops the necessary ingredients for the variational approach of initial boundary-value problems of parabolic partial differential equations on a fixed spatial domain…
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
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…