4 papers
A plane wave method based on approximate wave directions for two dimensional Helmholtz equations with large wave numbers
Qiya Hu, Zezhong Wang
In this paper we present and analyse a high accuracy method for computing wave directions defined in the geometrical optics ansatz of Helmholtz equation with variable wave number.…
A geometric optics ansatz-based plane wave method for two dimensional Helmholtz equations with variable wave numbers
Qiya Hu, Zezhong Wang
In this paper we develop a plane wave type method for discretization of homogeneous Helmholtz equations with variable wave numbers. In the proposed method, local basis functions (o…
Plane Wave Discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in Anisotropic Media
Long Yuan, Qiya Hu
In this paper we are concerned with plane wave discontinuous Galerkin (PWDG) methods for Helmholtz equation and time-harmonic Maxwell equations in three-dimensional anisotropic med…
A novel least squares method for Helmholtz equations with large wave numbers
Qiya Hu, Rongrong Song
In this paper we are concerned with numerical methods for nonhomogeneous Helmholtz equations in inhomogeneous media. We design a least squares method for discretization of the cons…