Developing weak Galerkin finite element methods for the wave equation
Document Type
Article
Publication Date
3-6-2017
Publication Title
Numerical Methods for Partial Differential Equations
Volume
33
Issue
3
First page number:
868
Last page number:
884
Abstract
In this article, we extend the recently developed weak Galerkin method to solve the second‐order hyperbolic wave equation. Many nice features of the weak Galerkin method have been demonstrated for elliptic, parabolic, and a few other model problems. This is the initial exploration of the weak Galerkin method for solving the wave equation. Here we successfully developed and established the stability and convergence analysis for the weak Galerkin method for solving the wave equation. Numerical experiments further support the theoretical analysis.
Keywords
Finite element method, Second‐order hyperbolic equation, Wave equation, Weak Galerkin
Language
eng
Repository Citation
Huang, Y.,
Li, J.,
Li, D.
(2017).
Developing weak Galerkin finite element methods for the wave equation.
Numerical Methods for Partial Differential Equations, 33(3),
868-884.
http://dx.doi.org/10.1002/num.22127