The finite element method (FEM) is widely used in many engineering applications. The
popularity of FEM led to the development of several variants of formulations, and hexahedral …

This article describes the Variational Multiscale Method (VMS) applied to flow problems. The
main idea of the formulation in the case of stationary linear problems is explained with some …

The synthesis of diphthongs in three-dimensions (3D) involves the simulation of acoustic
waves propagating through a complex 3D vocal tract geometry that deforms over time …

Wave propagation in elastodynamic problems in solids often requires fine computational
meshes. In this work we propose to combine stabilized finite element methods (FEM) with an …

Working with the wave equation in mixed rather than irreducible form allows one to directly
account for both, the acoustic pressure field and the acoustic particle velocity field. Indeed …

In this work we present stabilized finite element methods for the mixed velocity–stress
elasticity equations and for its irreducible velocity form. This is done both for the time and …

In this paper we develop numerical approximations of the wave equation in mixed form
supplemented with non-reflecting boundary conditions (NRBCs) of Sommerfeld-type on …

The numerical simulation of sibilant sounds in three‐dimensional realistic vocal tracts
constitutes a challenging problem because it involves a wide range of turbulent flow scales …

Three-dimensional (3-D) vocal tract acoustic modeling has the potential to generate high
quality and natural voice sounds, but at the price of a large computational cost. Alternatively …

We study a mixed discontinuous Galerkin (DG) method for solving the second-order wave
equation. The stress variable p and the displacement variable u are discretized by the mixed …