带随机强迫的二维稳态 Navier-Stokes 系统的侵入式与非侵入式多项式混沌逼近
数值分析
2021-07-27 v1 数值分析
摘要
虽然线性方程的多项式混沌逼近收敛性已得到相对较好的理解,但对于非线性方程则知之甚少。本文针对一个具有二次非线性的特定方程,研究了这种收敛性。
引用
@article{arxiv.2107.11720,
title = {Intrusive and Non-Intrusive Polynomial Chaos Approximations for a Two-Dimensional Steady State Navier-Stokes System with Random Forcing},
author = {S. V. Lototsky and R. Mikulevicius and B. L. Rozovsky},
journal= {arXiv preprint arXiv:2107.11720},
year = {2021}
}