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math.NA2023
Asymptotic-preserving finite element analysis of Westervelt-type wave equations
Vanja Nikolić
Motivated by numerical modeling of ultrasound waves, we investigate robust conforming finite element discretizations of quasilinear and possibly nonlocal equations of Westervelt ty…
math.AP2023
The vanishing relaxation time behavior of multi-term nonlocal Jordan-Moore-Gibson-Thompson equations
Barbara Kaltenbacher, Vanja Nikolić
The family of Jordan-Moore-Gibson-Thompson (JMGT) equations arises in nonlinear acoustics when a relaxed version of the heat flux law is employed within the system of governing equ…