Reliable A Posteriori Error Estimator for a Multi-scale Cancer Invasion Model
Numerical Analysis
2023-11-07 v5 Numerical Analysis
Abstract
In this work, we analyze the residual-based a posteriori error estimation of the multi-scale cancer invasion model, which is a system of three non-stationary reaction-diffusion equations. We present the numerical results of a study on a posteriori error control strategies for FEM approximations of the model. In this paper, we derive a residual type error estimator for the cancer invasion model and illustrate its practical performance on a series of computational tests in three-dimensional spaces. We show that the error estimator is reliable and efficient regarding the model's small perturbation parameters.
Keywords
Cite
@article{arxiv.2302.00217,
title = {Reliable A Posteriori Error Estimator for a Multi-scale Cancer Invasion Model},
author = {Gopika P. B. and Nishant Ranwan and Nagaiah Chamakuri},
journal= {arXiv preprint arXiv:2302.00217},
year = {2023}
}