http://www.dspace.espol.edu.ec/handle/123456789/29649 2026-05-05T23:07:03Z 2026-05-05T23:07:03Z Espinoza, Héctor Codina, Ramón Badia, Santiago http://www.dspace.espol.edu.ec/handle/123456789/29650 2015-07-17T19:39:54Z 2015-07-15T00:00:00Z

On some time marching schemes for the stabilized finite element approximation of the mixed wave equation Espinoza, Héctor; Codina, Ramón; Badia, Santiago In this paper we analyze time marching schemes for the wave equation in mixed form. The problem is discretized in space using stabilized finite elements. On the one hand, stability and convergence analyses of the fully discrete numerical schemes are presented using different time integration schemes and appropriate functional settings. On the other hand, we use Fourier techniques (also known as von Neumann analysis) in order to analyze stability, dispersion and dissipation. Numerical convergence tests are presented for various time integration schemes, polynomial interpolations (for the spatial discretization), stabilization methods, and variational forms. To analyze the behavior of the different schemes considered, a 1D wave propagation problem is solved. In this paper we analyze time marching schemes for the wave equation in mixed form. The problem is discretized in space using stabilized finite elements. On the one hand, stability and convergence analyses of the fully discrete numerical schemes are presented using different time integration schemes and appropriate functional settings. On the other hand, we use Fourier techniques (also known as von Neumann analysis) in order to analyze stability, dispersion and dissipation. Numerical convergence tests are presented for various time integration schemes, polynomial interpolations (for the spatial discretization), stabilization methods, and variational forms. To analyze the behavior of the different schemes considered, a 1D wave propagation problem is solved.

2015-07-15T00:00:00Z