Discontinuous Galerkin Finite Element Method for the Wave Equation
Discontinuous Galerkin Finite Element Method for the Wave Equation
The symmetric interior penalty discontinuous Galerkin finite element method is presented for the numerical discretization of the secondāorder wave equation. The resulting stiffness matrix is symmetric positive definite, and the mass matrix is essentially diagonal; hence, the method is inherently parallel and leads to fully explicit time integration when coupled ā¦