English

Intrusive and Non-Intrusive Polynomial Chaos Approximations for a Two-Dimensional Steady State Navier-Stokes System with Random Forcing

Numerical Analysis 2021-07-27 v1 Numerical Analysis

Abstract

While convergence of polynomial chaos approximation for linear equations is relatively well understood, a lot less is known for non-linear equations. The paper investigates this convergence for a particular equation with quadratic nonlinearity.

Cite

@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}
}