A parabolic equation on domains with random boundaries
Analysis of PDEs
2020-09-30 v1 Numerical Analysis
Numerical Analysis
Abstract
A heat equation with uncertain domains is thoroughly investigated. Statistical moments of the solution is approximated by the counterparts of the shape derivative. A rigorous proof for the existence of the shape derivative is presented. Boundary integral equation methods are used to compute statistical moments of the shape derivative.
Cite
@article{arxiv.2009.13997,
title = {A parabolic equation on domains with random boundaries},
author = {Duong Thanh Pham and Thanh Tran},
journal= {arXiv preprint arXiv:2009.13997},
year = {2020}
}