A Posteriori Error Estimates for Non-Stationary Non-Linear Convection-Diffusion Equations
Numerical Analysis
2018-02-08 v1
Abstract
Motivated by stochastic convection-diffusion problems we derive a posteriori error estimates for non-stationary non-linear convection-diffusion equations acting as a deterministic paradigm. The problem considered here neither fits into the standard linear framework due to its non-linearity nor into the standard non-linear framework due to the lacking differentiability of the non-linearity. Particular attention is paid to the interplay of the various parameters controlling the relative sizes of diffusion, convection, reaction, and non-linearity (noise).
Cite
@article{arxiv.1802.02453,
title = {A Posteriori Error Estimates for Non-Stationary Non-Linear Convection-Diffusion Equations},
author = {Rüdiger Verfürth},
journal= {arXiv preprint arXiv:1802.02453},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1402.5892