Developing weak Galerkin finite element methods for the wave equation
Numerical Methods for Partial Differential Equations
First page number:
Last page number:
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.
Finite element method, Second‐order hyperbolic equation, Wave equation, Weak Galerkin
Developing weak Galerkin finite element methods for the wave equation.
Numerical Methods for Partial Differential Equations, 33(3),