In this contribution, higher-order finite element method is used for the solution of reaction-diffusion equation with Turing instability. Some aspects concerning convergence of the method for this particular problem are discussed. Our numerical tests confirm the convergence of the method, but for some very special choices of parameters, this convergence has very uncommon properties.
@article{702972,
title = {Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability},
booktitle = {Application of Mathematics 2015},
series = {GDML\_Books},
publisher = {Institute of Mathematics CAS},
address = {Prague},
year = {2015},
pages = {140-147},
zbl = {06669926},
url = {http://dml.mathdoc.fr/item/702972}
}
Kůs, Pavel. Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability, dans Application of Mathematics 2015, GDML_Books, (2015), pp. 140-147. http://gdmltest.u-ga.fr/item/702972/