The modeling of source directivity is a problem of longstanding interest in virtual acoustics
and auralisation. This remains the case for newer time domain volumetric wave-based …

In this work, we develop an efficient solver based on neural networks for second-order
elliptic equations with variable coefficients and a singular source. This class of problems …

The immersed boundary (IB) method is a non-body conforming approach to fluid-structure
interaction (FSI) that uses an Eulerian description of the momentum, viscosity, and …

Volumetric wave-based acoustic simulation relies on the complete solution to the three-
dimensional wave equation over a spatial grid. Detailed modeling of sources, however …

Volumetric wave-based simulation methods for room and virtual acoustics, such as the finite
difference time domain method, are computationally intensive; for large volumes, operation …

We propose a posteriori error estimators for classical low-order inf–sup stable and stabilized
finite element approximations of the Stokes problem with singular sources in two and three …

All acoustic sources are of finite spatial extent. In volumetric wave-based simulation
approaches (including, eg, the finite difference time domain method among many others), a …

Physical modeling sound synthesis is notoriously computationally intensive. But recent
advances in algorithm efficiency, accompanied by increases in available computing power …

The main aim of the present work is to arrive at a mathematical theory close to the
historically original conception of generalized functions, ie set theoretical functions defined …

Immersed boundary methods are heavily used in computational fluid dynamics, as an
alternative to volumetric meshing, when a problem contains irregular geometric features. In …