Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization
Numerical Analysis
2020-11-19 v1 Numerical Analysis
Abstract
We model incompressible flows with an adaptive stabilized finite element method Stokes flows, which solves a discretely stable saddle-point problem to approximate the velocity-pressure pair. Additionally, this saddle-point problem delivers a robust error estimator to guide mesh adaptivity. We analyze the accuracy of different discrete velocity-pressure pairs of continuous finite element spaces, which do not necessarily satisfy the discrete inf-sup condition. We validate the framework's performance with numerical examples.
Cite
@article{arxiv.2011.09182,
title = {Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization},
author = {Felix Kyburg and Sergio Rojas and Victor M. Calo},
journal= {arXiv preprint arXiv:2011.09182},
year = {2020}
}