Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability

0450752 - MÚ 2016 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Kůs, Pavel
Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability.
Applications of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015 - (Brandts, J.; Korotov, S.; Křížek, M.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 140-147. ISBN 978-80-85823-65-3.
[Applications of Mathematics 2015. Prague (CZ), 18.11.2015-21.11.2015]
Institucionální podpora: RVO:67985840
Klíčová slova: convergence * finite element method * Turing instability * reaction-diffusion
Kód oboru RIV: BA - Obecná matematika

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 problém 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.
Trvalý link: http://hdl.handle.net/11104/0251969