Adaptive $C^0$ interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients
Numerical Analysis
2019-11-14 v1 Numerical Analysis
Analysis of PDEs
Abstract
In this paper we conduct a priori and a posteriori error analysis of the interior penalty method for Hamilton-Jacobi-Bellman equations, with coefficients that satisfy the Cordes condition. These estimates show the quasi-optimality of the method, and provide one with an adaptive finite element method. In accordance with the proven regularity theory, we only assume that the solution of the Hamilton-Jacobi-Bellman equation belongs to .
Keywords
Cite
@article{arxiv.1911.05407,
title = {Adaptive $C^0$ interior penalty methods for Hamilton-Jacobi-Bellman equations with Cordes coefficients},
author = {Susanne C. Brenner and Ellya L. Kawecki},
journal= {arXiv preprint arXiv:1911.05407},
year = {2019}
}
Comments
21 pages, 4 figures, 8 tables