12 citations · 14 across the 4 of their papers we have counts for
5 papers
A priori error estimates for the finite element approximation of Westervelt's quasilinear acoustic wave equation
Vanja Nikolić, Barbara Wohlmuth
We study the spatial discretization of Westervelt's quasilinear strongly damped wave equation by piecewise linear finite elements. Our approach employs the Banach fixed-point theor…
Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation
Markus Muhr, Vanja Nikolić, Barbara Wohlmuth
We propose a self-adaptive absorbing technique for quasilinear ultrasound waves in two- and three-dimensional computational domains. As a model for the nonlinear ultrasound propaga…
Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy
Vanja Nikolic, Barbara Kaltenbacher
We are interested in shape sensitivity analysis for an optimization problem arising in medical applications of high intensity focused ultrasound. The goal is to find the optimal sh…
On higher regularity for the Westervelt equation with strong nonlinear damping
Vanja Nikolic, Barbara Kaltenbacher
We show higher interior regularity for the Westervelt equation with strong nonlinear damping term of the -Laplace type. Secondly, we investigate an interface coupling problem fo…
Efficient time integration methods based on operator splitting and application to the Westervelt equation
Barbara Kaltenbacher, Vanja Nikolic, Mechthild Thalhammer
Efficient time integration methods based on operator splitting are introduced for the Westervelt equation, a nonlinear damped wave equation that arises in nonlinear acoustics as ma…