2 papers
math.NA2026
Discontinuous Galerkin approximations of the Jordan-Moore-Gibson-Thompson equation in the vanishing relaxation limit
Vanja NikoliÄ
The Jordan-Moore-Gibson-Thompson (JMGT) equation models nonlinear acoustic wave propagation in thermally relaxing media and in the vanishing relaxation limit approaches the damped…
math.NA2024
Asymptotic-preserving finite element analysis of Westervelt-type wave equations
Vanja NikoliÄ
Motivated by numerical modeling of ultrasound waves, we investigate robust conforming finite element discretizations of quasilinear and possibly nonlocal equations of Westervelt ty…