2 citations · 3 across the 4 of their papers we have counts for
6 papers
A finite difference - discontinuous Galerkin method for the wave equation in second order form
Siyang Wang, Gunilla Kreiss
We develop a hybrid spatial discretization for the wave equation in second order form, based on high-order accurate finite difference methods and discontinuous Galerkin methods. Th…
A conservative and energy stable discontinuous spectral element method for the shifted wave equation in second order form
Kenneth Duru, Siyang Wang, Kenny Wiratama
In this paper, we develop a provably energy stable and conservative discontinuous spectral element method for the shifted wave equation in second order form. The proposed method co…
Summation-by-parts approximations of the second derivative: Pseudoinverses of singular operators and revisiting the sixth order accurate narrow-stencil operator
Sofia Eriksson, Siyang Wang
We consider finite difference approximations of the second derivative, exemplified in Poisson's equation, the heat equation and the wave equation. The finite difference operators s…
Theory of the Chromatic Dispersion, Revisited
Dimitar Popmintchev, Siyang Wang, Xiaoshi Zhang +1
We derive general analytic expressions for the chromatic dispersion orders valid to infinity, due to the k vector or phase ϕ dependence on the wavelength. Additionally, we identify…
Numerical upscaling for heterogeneous materials in fractured domains
Fredrik Hellman, Axel Målqvist, Siyang Wang
We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured po…
Fourth order finite difference methods for the wave equation with mesh refinement interfaces
Siyang Wang, N. Anders Petersson
We analyze two types of summation-by-parts finite difference operators for approximating the second derivative with variable coefficient. The first type uses ghost points, while th…