Developing Weak Galerkin Finite Element Methods For The Wave Equation

In this paper,we extend the recently developed weak Galerkin element method to solve the second-order hyperbolic. 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 equa-tion.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.