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

0450752 - MÚ 2016 RIV CZ eng C - Conference Paper (international conference)
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]
Institutional support: RVO:67985840
Keywords : convergence * finite element method * Turing instability * reaction-diffusion
Subject RIV: BA - General Mathematics

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.
Permanent Link: http://hdl.handle.net/11104/0251969