Numerical modeling of medical ultrasound has advanced tremendously in the past two
decades. This opens up a great number of opportunities for medical ultrasound and …

Heating from high intensity focused ultrasound (HIFU) can be used to control bleeding, both
from individual blood vessels as well as from gross damage to the capillary bed. The …

The aim of this paper is to highlight some recent developments and outcomes in the
mathematical analysis of partial differential equations describing nonlinear sound …

We present a novel pumpless microfluidic array driven by surface tension for studying the
physiology of pancreatic islets of Langerhans. Efficient fluid flow in the array is achieved by …

A novel type of microfluidic biochip employs acoustic surface waves as a pumping
mechanism for fluids. Piezoelectric substrate materials in the chip efficiently convert an …

We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on
polytopic meshes. To model sound propagation with losses through homogeneous media …

This work deals with the convergence analysis of parabolic perturbations to quasilinear
wave equations on smooth bounded domains. In particular, we consider wave equations …

This paper develops a numerical method for predicting the nonlinear structural-acoustic
interactions of a hyperelastic solid immersed in an unbounded compressible viscous fluid …

The development and optimization of medical ultrasound transducers and imaging
modalities require a computational method that accurately predicts the nonlinear acoustic …

We study the spatial discretization of Westervelt's quasi-linear strongly damped wave
equation by piecewise linear finite elements. Our approach employs the Banach fixed-point …