3 papers
math.NA2026
An unfitted HDG method for a distributed optimal convection-diffusion control problem
Esteban HenrÃquez, Manuel Solano
We analyze a high order unfitted hybridizable discontinuous Galerkin (HDG) method for an optimal control problem governed by a convection-diffusion equation posed in a domain with…
math.NA2025
A coupled HDG discretization for the interaction between acoustic and elastic waves
Fernando Artaza-Covarrubias, Tonatiuh Sánchez-Vizuet, Manuel Solano
We propose and analyze an HDG scheme for the Laplace-domain interaction between a transient acoustic wave and a bounded elastic solid embedded in an unbounded fluid medium. Two mix…
math.NA2025
An unfitted HDG discretization for a model problem in shape optimization
Esteban HenrÃquez, Tonatiuh Sánchez-Vizuet, Manuel Solano
We apply an unfitted HDG discretization to a model problem in shape optimization. The method proposed uses a fixed, shape regular, non-geometry conforming mesh and a high order tra…