An approximation scheme for variational inequalities with convex and coercive Hamiltonians
Numerical Analysis
2019-11-05 v1 Numerical Analysis
Optimization and Control
Abstract
We propose an approximation scheme for a class of semilinear variational inequalities whose Hamiltonian is convex and coercive. The proposed scheme is a natural extension of a previous splitting scheme proposed by Liang, Zariphopoulou and the author for semilinear parabolic PDEs. We establish the convergence of the scheme and determine the convergence rate by obtaining its error bounds. The bounds are obtained by Krylov's shaking coefficients technique and Barles-Jakobsen's optimal switching approximation, in which a key step is to introduce a variant switching system.
Cite
@article{arxiv.1810.08842,
title = {An approximation scheme for variational inequalities with convex and coercive Hamiltonians},
author = {Shuo Huang},
journal= {arXiv preprint arXiv:1810.08842},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1801.00583