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24 June 2024
 
  » arxiv » 2302.00217

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Residual-Based a Posteriori Error Estimator for a Multi-scale Cancer Invasion Model
Gopika P. B. ; Nishant Ranwan ; Nagaiah Chamakuri ;
Date 1 Feb 2023
AbstractIn 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 with respect to the small perturbation parameters in the model.
Source arXiv, 2302.00217
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