Residual-Based a Posteriori Error Estimator for a Multi-scale Cancer Invasion Model

02/01/2023

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by   Gopika P. B., et al.

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IISERTVM

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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 with respect to the small perturbation parameters in the model.