3 papers
math.NA2025
Finite element discretization of nonlinear models of ultrasound heating
Julio Careaga, Benjamin Dörich, Vanja NikoliÄ
Heating generated by high-intensity focused ultrasound waves is central to many emerging medical applications, including non-invasive cancer therapy and targeted drug delivery. In…
math.NA2025
Combined DG-CG finite element method for the Westervelt equation
Sergio Gómez, Vanja NikoliÄ
We propose and analyze a space-time finite element method for Westervelt's quasilinear model of ultrasound waves in second-order formulation. The method combines conforming finite…
math.AP2024
Mathematical models for nonlinear ultrasound contrast imaging with microbubbles
Vanja NikoliÄ, Teresa Rauscher
Ultrasound contrast imaging is a specialized imaging technique that applies microbubble contrast agents to traditional medical sonography, providing real-time visualization of bloo…