We consider approximating the solution of the Helmholtz exterior Dirichlet problem for a
nontrap** obstacle, with boundary data coming from plane-wave incidence, by the …

This paper proposes a staggered discontinuous Galerkin (SDG) method for solving the 2D
SN transport equation on arbitrary polygonal mesh. The new method allows rough grids …

We design and analyze a coupling of a discontinuous Galerkin finite element method with a
boundary element method to solve the Helmholtz equation with variable coefficients in three …

In this paper, we review the lowest order staggered discontinuous Galerkin methods on
polygonal meshes in 2D. The proposed method offers many desirable features including …

In this paper, we design and analyze staggered discontinuous Galerkin methods of arbitrary
polynomial orders for the stationary Navier-Stokes equations on polygonal meshes. The …

The Helmholtz equation as an elliptic partial differential equation possesses many
applications in the time-harmonic wave propagation phenomena, such as the acoustic cavity …