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Continuous cellular automata on irregular tessellations : mimicking steady-state heat flow

Jan Baetens UGent and Bernard De Baets UGent (2010) 2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC 2011). p.53-59
abstract
Leaving a few exceptions aside, cellular automata (CA) and the intimately related coupled-map lattices (CML), commonly known as continuous cellular automata (CCA), as well as models that are based upon one of these paradigms, employ a regular tessellation of an Euclidean space in spite of the various drawbacks this kind of tessellation entails such as its inability to cover surfaces with an intricate geometry, or the anisotropy it causes in the simulation results. Recently, a CCA-based model describing steady-state heat flow has been proposed as an alternative to Laplace's equation that is, among other things, commonly used to describe this process, yet, also this model suffers from the aforementioned drawbacks since it is based on the classical CCA paradigm. To overcome these problems, we first conceive CCA on irregular tessellations of an Euclidean space after which we show how the presented approach allows a straightforward simulation of steady-state heat flow on surfaces with an intricate geometry, and, as such, constitutes an full-fledged alternative for the commonly used and easy-to-implement finite difference method, and the more intricate finite element method.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (conferencePaper)
publication status
published
subject
keyword
cellular automata, finite element analysis, finite difference methods, heat transfer
in
2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC 2011)
pages
53 - 59
publisher
IEEE
place of publication
Piscataway, NJ, USA
conference name
2010 2nd World congress on Nature and Biologically Inspired Computing (NaBIC 2010)
conference location
Fukuoka, Japan
conference start
2010-12-15
conference end
2010-12-17
Web of Science type
Conference Paper
Web of Science id
11834860
ISBN
9781424473779
9781424473762
9781424473755
DOI
10.1109/NABIC.2010.5716301
language
English
UGent publication?
yes
classification
C1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1234600
handle
http://hdl.handle.net/1854/LU-1234600
date created
2011-05-24 16:23:18
date last changed
2018-05-18 07:13:22
@inproceedings{1234600,
  abstract     = {Leaving a few exceptions aside, cellular automata (CA) and the intimately related coupled-map lattices (CML), commonly known as continuous cellular automata (CCA),  as well as models that are based upon one of these paradigms, employ a regular tessellation of an Euclidean space in spite of the various drawbacks this kind of tessellation entails such as its inability to cover surfaces with an intricate geometry, or the anisotropy it causes in the simulation results. Recently, a CCA-based model describing steady-state heat flow has been proposed as an alternative to Laplace's equation that is, among other things, commonly used to describe this process, yet, also this model suffers from the aforementioned drawbacks since it is based on the classical CCA paradigm. To overcome these  problems, we  first conceive CCA on irregular tessellations of an Euclidean space after which we show how the presented approach allows a straightforward simulation of steady-state heat flow on surfaces with an intricate geometry, and, as such, constitutes an full-fledged alternative for the commonly used and easy-to-implement finite difference method, and the more intricate finite element method.},
  author       = {Baetens, Jan and De Baets, Bernard},
  booktitle    = {2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC 2011)},
  isbn         = {9781424473779},
  keyword      = {cellular automata,finite element analysis,finite difference methods,heat transfer},
  language     = {eng},
  location     = {Fukuoka, Japan},
  pages        = {53--59},
  publisher    = {IEEE},
  title        = {Continuous cellular automata on irregular tessellations : mimicking steady-state heat flow},
  url          = {http://dx.doi.org/10.1109/NABIC.2010.5716301},
  year         = {2010},
}

Chicago
Baetens, Jan, and Bernard De Baets. 2010. “Continuous Cellular Automata on Irregular Tessellations : Mimicking Steady-state Heat Flow.” In 2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC 2011), 53–59. Piscataway, NJ, USA: IEEE.
APA
Baetens, Jan, & De Baets, B. (2010). Continuous cellular automata on irregular tessellations : mimicking steady-state heat flow. 2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC 2011) (pp. 53–59). Presented at the 2010 2nd World congress on Nature and Biologically Inspired Computing (NaBIC 2010), Piscataway, NJ, USA: IEEE.
Vancouver
1.
Baetens J, De Baets B. Continuous cellular automata on irregular tessellations : mimicking steady-state heat flow. 2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC 2011). Piscataway, NJ, USA: IEEE; 2010. p. 53–9.
MLA
Baetens, Jan, and Bernard De Baets. “Continuous Cellular Automata on Irregular Tessellations : Mimicking Steady-state Heat Flow.” 2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC 2011). Piscataway, NJ, USA: IEEE, 2010. 53–59. Print.