Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations

Figure 28: Relative error between the lower branch and its approximation in P 1 For each of the four denitions of ξ F , we have numerically studied the de- pendence between the

In addition, solitary, cnoidal, and dispersive shock waves are studied in detail using this numerical scheme for the Serre system and compared with the ‘classical’ Boussinesq system

The runge-kutta local projection p 1 -discontinuous- galerkin finite element method for scalar conservation laws. Cockburn and

In this study we propose the construction and the first hp a priori error analysis of a discontinuous Galerkin numerical scheme applied to the integral equation related to the

In Section 2, we propose two theorems, the first one provides explicit necessary stability conditions on the penalization parameter and the time step while the second one provides a

One way of applying a collocation method to a partial differential équation is to satisfy the équation at the interior points and impose boundary conditions at the boundary points..

Abstract — Two exphcit fimte element methods for afirst order hnear hyperbohc problem in R 2 are proposed and analyzed These schemes are designed to produce an approximate

The first itération uses LTOL = 0.045 and the second uses LTOL = 0.000888 in figure 4.1, we plot the error-to-bound ratio (4.7) versus time ; the ratio is nearly constant. The