33 citations · 303 across the 46 of their papers we have counts for
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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…
Well-Posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation
Rainer Brunnhuber, Barbara Kaltenbacher
We consider a nonlinear fourth order in space partial differential equation arising in the context of the modeling of nonlinear acoustic wave propagation in thermally relaxing visc…
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs II: all-at once formulations
Barbara Kaltenbacher, Alana Kirchner, Boris Vexler
In this paper we investigate adaptive discretization of the iteratively regularized Gauss- Newton method IRGNM. All-at-once formulations considering the PDE and the measurement equ…