We present the first fast solver for the high-frequency Helmholtz equation that scales
optimally in parallel for a single right-hand side. The L-sweeps approach achieves this …

We present a wavenumber-explicit convergence analysis of the hp finite element method
applied to a class of heterogeneous Helmholtz problems with piecewise analytic coefficients …

Two long-standing problems exist in the high-frequency electromagnetic scattering analysis:
1) full-wave methods suffer a geometric increase in computational costs, along with the …

We propose a novel a posteriori error estimator for conforming finite element discretizations
of two-and three-dimensional Helmholtz problems. The estimator is based on an …

Abstract We propose an Edge Multiscale Finite Element Method (EMsFEM) based on an
Interior Penalty Discontinuous Galerkin (IPDG) formulation for the heterogeneous Helmholtz …

In this paper, we analyze a hybridizable discontinuous Galerkin method for the Helmholtz
equation with large wave number, which uses piecewise polynomials of degree of to …

We present a wavenumber-explicit convergence analysis of the $ hp $ Finite Element
Method applied to a class of heterogeneous Helmholtz problems with piecewise analytic …

In this paper, we consider the adaptive finite element method for sound wave propagation
problems in two kinds of media, which are the linear anisotropic acoustic materials (the …

We consider time-harmonic Maxwell's equations set in a heterogeneous medium with
perfectly conducting boundary conditions. Given a divergence-free right-hand side lying in L …