Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
Texte intégral
Figure
Documents relatifs
On the other hand, we refer to the work of Vila and Villedieu [VV03], who prove, again under a strict CFL condition, an h 1/2 -error estimate in the L 2 loc space-time norm for
Summary In [1], we have constructed a family of finite volume schemes on rectangular meshes for the p-laplacian and we proved error estimates in case the exact solution lies in W
Under a simple geometrical assumption for the clusters, we obtain that the pair of discrete spaces associating the classical cell-centered approximation for the velocities
We present a new finite volume scheme for anisotropic heterogeneous diffusion problems on unstructured irregular grids, which simultaneously gives an approximation of the solution
In order to suppress the round-off error and to avoid blow-up, a regularized logarithmic Schr¨ odinger equation (RLogSE) is proposed with a small regularization parameter 0 < ε ≪
For a model of nonlinear elastodynamics, we construct a finite volume scheme which is able to capture nonclassical shocks (also called undercompressive shocks).. Those shocks verify
We now show that, under one of its three forms and according to the choice of its parameters, a scheme from the HMMF (Hybrid Mimetic Mixed Family) may be interpreted as a
Even there, the maximum difference between the velocity calculated using the boundary-fitted grid and the methods with the immersed boundary and the uniform grid is less than