101 citations · 198 across the 17 of their papers we have counts for
15 papers · 1 filter
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…
On the stability analysis of perfectly matched layer for the elastic wave equation in layered media
Kenneth Duru, Balaje Kalyanaraman, Siyang Wang
In this paper, we present the stability analysis of the perfectly matched layer (PML) in two-space dimensional layered elastic media. Using normal mode analysis we prove that all i…
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…
A high order finite difference method for the elastic wave equation in bounded domains with nonconforming interfaces
Lu Zhang, Siyang Wang
We develop a stable finite difference method for the elastic wave equation in bounded media, where the material properties can be discontinuous at curved interfaces. The governing…
An energy-based summation-by-parts finite difference method for the wave equation in second order form
Siyang Wang, Daniel Appelö, Gunilla Kreiss
We develop a new finite difference method for the wave equation in second order form. The finite difference operators satisfy a summation-by-parts (SBP) property. With boundary con…
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…
Elastic wave propagation in curvilinear coordinates with mesh refinement interfaces by a fourth order finite difference method
Lu Zhang, Siyang Wang, N. Anders Petersson
We develop a fourth order accurate finite difference method for the three dimensional elastic wave equation in isotropic media with the piecewise smooth material property. In our m…
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…
Order Preserving Interpolation for Summation-by-Parts Operators at Non-Conforming Grid Interfaces
Martin Almquist, Siyang Wang, Jonatan Werpers
We study non-conforming grid interfaces for summation-by-parts finite difference methods applied to partial differential equations with second derivatives in space. To maintain ene…
High-order numerical methods for 2D parabolic problems in single and composite domains
Gustav Ludvigsson, Kyle R. Steffen, Simon Sticko +4
In this work, we discuss and compare three methods for the numerical approximation of constant- and variable-coefficient diffusion equations in both single and composite domains wi…
An improved high order finite difference method for non-conforming grid interfaces for the wave equation
Siyang Wang
This paper presents an extension of a recently developed high order finite difference method for the wave equation on a grid with non-conforming interfaces. The stability proof of…
Convergence of finite difference methods for the wave equation in two space dimensions
Siyang Wang, Anna Nissen, Gunilla Kreiss
When using a finite difference method to solve an initial--boundary--value problem, the truncation error is often of lower order at a few grid points near boundaries than in the in…
High order finite difference methods for the wave equation with non-conforming grid interfaces
Siyang Wang, Kristoffer Virta, Gunilla Kreiss
We use high order finite difference methods to solve the wave equation in the second order form. The spatial discretization is performed by finite difference operators satisfying a…
Convergence of summation-by-parts finite difference methods for the wave equation
Siyang Wang, Gunilla Kreiss
In this paper, we consider finite difference approximations of the second order wave equation. We use finite difference operators satisfying the summation-by-parts property to disc…