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arXiv · 2302.00217

Reliable A Posteriori Error Estimator for a Multi-scale Cancer Invasion Model

Gopika P. B.·Nishant Ranwan·Nagaiah Chamakuri
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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.

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Gopika P. B., Nishant Ranwan, Nagaiah Chamakuri. 2023-02-01. Reliable A Posteriori Error Estimator for a Multi-scale Cancer Invasion Model. https://arxiv.org/abs/2302.00217

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