Title

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

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