12 citations · 14 across the 4 of their papers we have counts for
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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…
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…