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math.NA2021
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.…
math.NA2020★ 2 cited
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…