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20172021
most citedVanishing relaxation time limit of the Jordan--Moore--Gibson--Thompson wave equation with Neumann and absorbing boundary conditions

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math.NA2021

A discontinuous Galerkin coupling for nonlinear elasto-acoustics

Markus Muhr, Vanja Nikolić, Barbara Wohlmuth

Inspired by medical applications of high-intensity ultrasound, we study a coupled elasto-acoustic problem with general acoustic nonlinearities of quadratic type as they arise, for…

math.NA2019

A high-order discontinuous Galerkin method for nonlinear sound waves

Paola. F. Antonietti, Ilario Mazzieri, Markus Muhr +2

We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on polytopic meshes. To model sound propagation with and without losses, we use Westervelt's nonl…