First-order continuation method for steady-state variably saturated groundwater flow modeling
Numerical Analysis
2022-01-17 v1 Numerical Analysis
Abstract
Recently, the nonlinearity continuation method has been used to numerically solve boundary value problems for steady-state Richards equation. The method can be considered as a predictor-corrector procedure with the simplest form which has been applied to date having a trivial, zeroth-order predictor. In this article, effect of a more sophisticated predictor technique is examined. Numerical experiments are performed with finite volume and mimetic finite difference discretizations on various problems, including real-life examples.
Cite
@article{arxiv.2201.05202,
title = {First-order continuation method for steady-state variably saturated groundwater flow modeling},
author = {Denis Anuprienko},
journal= {arXiv preprint arXiv:2201.05202},
year = {2022}
}