On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow
Dolejší, V., Feistauer, M., Schwab, C.
Similarity:
Dolejší, V., Feistauer, M., Schwab, C.
Similarity:
Lukáčová-Medviďová, Mária
Similarity:
Vít Dolejší, Miloslav Feistauer, Jiří Felcman, Alice Kliková (2002)
Applications of Mathematics
Similarity:
The subject of the paper is the derivation of error estimates for the combined finite volume-finite element method used for the numerical solution of nonstationary nonlinear convection-diffusion problems. Here we analyze the combination of barycentric finite volumes associated with sides of triangulation with the piecewise linear nonconforming Crouzeix-Raviart finite elements. Under some assumptions on the regularity of the exact solution, the and error estimates are established....
Stéphane Flotron, Jacques Rappaz (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
In this article, we present a numerical scheme based on a finite element method in order to solve a time-dependent convection-diffusion equation problem and satisfy some conservation properties. In particular, our scheme is able to conserve the total energy for a heat equation or the total mass of a solute in a fluid for a concentration equation, even if the approximation of the velocity field is not completely divergence-free. We establish a priori errror estimates for this scheme and...