A systematic study on weak Galerkin finite-element method for second-order wave equation

In this article, we present a systematic numerical study for second-order linear wave equation using weak Galerkin finite-element methods (WG-FEMs). Various degrees of polynomials are used to construct weak Galerkin finite-element spaces. Error estimates in L-2 norm as well as in discrete H-1 norm have been established for general weak Galerkin space (P-k (K), P-j (partial derivative K), [P-l (K)](2)), where k, j&l are non-negative integers with k >= 1. Time discretization for fully discrete scheme is based on second order in time Newmark scheme. Finally, we provide several numerical results to confirm theoretical findings.