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math.NA2025
A robust fully-mixed finite element method with skew-symmetry penalization for low-frequency poroelasticity
Stefano Bonetti, Michele Botti, Patrick Vega
In this work, we present and analyze a fully-mixed finite element scheme for the dynamic poroelasticity problem in the low-frequency regime. We write the problem as a four-field, f…
math.NA2025
Minimum-residual a posteriori error estimates for hybridizable discontinuous Galerkin discretizations of the Helmholtz equation
Liliana Camargo, Sergio Rojas, Patrick Vega
We propose and analyze two a posteriori error indicators for hybridizable discontinuous Galerkin (HDG) discretizations of the Helmholtz equation. These indicators are built to mini…