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math.NA2025
An unfitted HDG discretization for a model problem in shape optimization
Esteban Henríquez, 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…
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. The ela…