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math.NA2024
Asymptotic-preserving hybridizable discontinuous Galerkin method for the Westervelt quasilinear wave equation
Sergio Gómez, Mostafa Meliani
We discuss the asymptotic-preserving properties of a hybridizable discontinuous Galerkin method for the Westervelt model of ultrasound waves. More precisely, we show that the propo…
math.NA2022
Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis
Mostafa Meliani, Vanja Nikolić
Accurate simulation of nonlinear acoustic waves is essential for the continued development of a wide range of (high-intensity) focused ultrasound applications. This article explore…