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math.NA2024
Level-set shape optimization via polytopic discontinuous Galerkin methods
Raphael S. Fernandes, Emmanuil H. Georgoulis, Alberto Paganini
We introduce a new level-set shape optimization approach based on polytopic (i.e., polygonal in two and polyhedral in three spatial dimensions) discontinuous Galerkin methods. The…
math.NA2024
A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation
Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert
We propose a new stabilised finite element method for the classical Kolmogorov equation. The latter serves as a basic model problem for large classes of kinetic-type equations and,…