16 citations · 17 across the 4 of their papers we have counts for
4 papers
Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis
Mostafa Meliani, Vanja Nikolić
Accurate simulation of nonlinear acoustic waves is essential for the continued development of a wide range of (high-intensity) focused ultrasound applications. This article explore…
Limiting behavior of quasilinear wave equations with fractional-type dissipation
Barbara Kaltenbacher, Mostafa Meliani, Vanja Nikolić
In this work, we investigate a class of quasilinear wave equations of Westervelt type with, in general, nonlocal-in-time dissipation. They arise as models of nonlinear sound propag…
Determining kernels in linear viscoelasticity
Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolić +2
In this work, we investigate the inverse problem of determining the kernel functions that best describe the mechanical behavior of a complex medium modeled by a general nonlocal vi…
Analysis of general shape optimization problems in nonlinear acoustics
Mostafa Meliani, Vanja Nikolić
In various biomedical applications, precise focusing of nonlinear ultrasonic waves is crucial for efficiency and safety of the involved procedures. This work analyzes a class of sh…