4 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
A numerical scheme for solving an induction heating problem with moving non-magnetic conductor
Van Chien Le, Marián Slodička, Karel Van Bockstal
This paper investigates an induction heating problem in a multi-component system containing a moving non-magnetic conductor. The electromagnetic process is described by the eddy cu…