4 papers
An unconditionally convergent discontinuous Galerkin neural network method activated by plane waves for Helmholtz equation and Maxwell's equations
Long Yuan, Menghui Wu, Qiya Hu +1
In this paper we propose a discontinuous Galerkin plane wave neural network (DGPWNN) method for approximately solving Helmholtz equation and Maxwell's equations. In this method, we…
A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations
Long Yuan, Qiya Hu
In this paper we propose a {\it discontinuous} plane wave neural network (DPWNN) method with refinement for approximately solving Helmholtz equation and time-harmonic Maxwell…
Global space-time Trefftz DG schemes for the time-dependent linear wave equation
Long Yuan
In this paper we are concerned with Trefftz discretizations of the time-dependent linear wave equation in anisotropic media in arbitrary space dimensional domains $Ω\subset \mathbb…
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…