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20232025
most citedA numerical scheme for solving an induction heating problem with moving non-magnetic conductor

4 citations · 5 across the 4 of their papers we have counts for

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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…