3 papers
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…
math.OC2017
Isogeometric shape optimization for nonlinear ultrasound focusing
Markus Muhr, Vanja Nikolić, Barbara Wohlmuth +1
The goal of this work is to improve focusing of high-intensity ultrasound by modifying the geometry of acoustic lenses through shape optimization. The shape optimization problem is…