Discrete maximum principles for nonlinear elliptic finite element problems on Riemannian manifolds with boundary
Numerical Analysis
2018-07-05 v2
Abstract
The maximum principle forms an important qualitative property of second order elliptic equations, therefore its discrete analogues, the so-called discrete maximum principles (DMPs) have drawn much attention. In this paper DMPs are established for nonlinear surface finite element problems on Riemannian manifolds, corresponding to the classical pointwise maximum principles on surfaces in the spirit of Pucci et al. Various real-life examples illustrate the scope of the results.
Keywords
Cite
@article{arxiv.1701.00424,
title = {Discrete maximum principles for nonlinear elliptic finite element problems on Riemannian manifolds with boundary},
author = {János Karátson and Balázs Kovács and Sergey Korotov},
journal= {arXiv preprint arXiv:1701.00424},
year = {2018}
}