In this work, we propose a lattice Boltzmann method to model the electrohydrodynamic
(EHD) conduction phenomenon in dielectric liquids. To incorporate the effect of the source …

We propose an original method based on generalized plane waves and approximated
coefficients for the numerical approximation of the Helmholtz equation with a smooth …

Heat radiation in optically thick non-grey media can be well approximated with the
Rosseland model which is a class of nonlinear diffusion equations with convective boundary …

The efficient finite element discretization of the Helmholtz equation becomes challenging in
the medium frequency regime because of numerical dispersion, or what is often referred to …

We present a new method for simulating incompressible immiscible two‐phase flow in
porous media. The semi‐implicit method decouples the wetting phase pressure and …

Numerical dispersion, or what is often referred to as the pollution effect, presents a
challenge to an efficient finite element discretization of the Helmholtz equation in the …

In this paper, we study the efficient numerical integration of functions with sharp gradients
and cusps. An adaptive integration algorithm is presented that systematically improves the …

This paper proposes a partition of unity enrichment scheme for the solution of the
electromagnetic wave equation in the time domain. A discretization scheme in time is …

A higher-accuracy discontinuous Galerkin method with Lagrange multipliers (DGLM) is
presented for the solution of the advection–diffusion equation with a spatially varying …

Medium‐frequency regime and multi‐scale wave propagation problems have been a
subject of active research in computational acoustics recently. New techniques have …