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

Kůs, Pavel. "Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 140-147. <http://eudml.org/doc/287854>.

@inProceedings{Kůs2015,
abstract = {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.},
author = {Kůs, Pavel},
booktitle = {Application of Mathematics 2015},
keywords = {convergence; finite element method; Turing instability; reaction-diffusion},
location = {Prague},
pages = {140-147},
publisher = {Institute of Mathematics CAS},
title = {Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability},
url = {http://eudml.org/doc/287854},
year = {2015},
}

TY - CLSWK
AU - Kůs, Pavel
TI - Convergence and stability of higher-order finite element solution of reaction-diffusion equation with Turing instability
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 140
EP - 147
AB - 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.
KW - convergence; finite element method; Turing instability; reaction-diffusion
UR - http://eudml.org/doc/287854
ER -