Error estimates to smooth solutions of semi-discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws Juntao Huang

Comparison for the mass-spring-damper system of the error (top left), projection error (top right) and errors ratio (bottom left) obtained with each model reduction approach, as well

The solution of the discontinuous (resp. continuous) problem is represented with plain (resp.. Of course, the numerical computation of the corresponding entropy solution by

To deal with these situations, we propose robust a posteriori error estimates for the heat equation with discontinuous, piecewise constant coefficients based on a discretization

Résume — On considère le problème aux limites avec conditions initiales pour Véquation de la chaleur dans un domaine Q, ainsi que l approximation habituelle de Galerkin

Convergence rates for FEMs with numerical quadrature are thus essential in the analysis of numerical homogenization methods and the a priori error bounds derived in this paper allow

After a detailed analysis, we find that, if uniform or non-increasing time steps are used, for the second order schemes (LW2DG) with piecewise linear elements, and the third

Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations. Elliptic reconstruction and a posteriori error estimates for parabolic

1 Let us observe in passing that in [47,49] the authors established existence and uniqueness of entropy solutions with a combination of u- and x-discontinuities; this approach is