Developing weak Galerkin finite element methods for the wave equation

作者：Huang, Yunqing; Li, Jichun^*; Li, Dan

来源：Numerical Methods for Partial Differential Equations, 2017, 33(3): 868-884.

DOI：10.1002/num.22127

• finite element method
• second-order hyperbolic equation
• wave equation
• weak Galerkin

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.

• 出版日期2017-5
• 单位湘潭大学