A Novel Space-time Discontinuous Galerkin Method for Solving of One-dimensional Electromagnetic Wave Propagations
Abstract: In this paper we
propose a high-order space-time discontinuous Galerkin (STDG) method for solving
of one-dimensional electromagnetic wave propagations in homogeneous medium. The
STDG method uses finite element Discontinuous Galerkin discretizations in
spatial and temporal domain simultaneously with high order piecewise Jacobi
polynomial as the basis functions. The algebraic equations are solved using
Block Gauss-Seidel iteratively in each time step. The STDG method is unconditionally
stable, so the CFL number can be chosen arbitrarily. Numerical examples show
that the proposed STDG method is of exponentially accuracy in time.
Author: Pranowo
Journal Code: jptkomputergg170170
