Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems

Jean-Philippe Bernard 1 Benjamin Gilles 2, 3 Christophe Godin 1
1 VIRTUAL PLANTS - Modeling plant morphogenesis at different scales, from genes to phenotype
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique, UMR AGAP - Amélioration génétique et adaptation des plantes méditerranéennes et tropicales
2 ICAR - Image & Interaction
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : This paper shows how to solve a system of di↵erential equa-tions controlling the development of a dynamical system based on finite element method and L-Systems. Our methods leads to solve a linear system of equations by propagating the flow of information throughout the structure of the developing system in a natural way. The method is illustrated on the growth of a branching system whose axes bend under their own weight.
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Jean-Philippe Bernard, Benjamin Gilles, Christophe Godin. Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems. TPNC: Theory and Practice of Natural Computing, Dec 2014, Granada, Spain. pp.218-230, ⟨10.1007/978-3-319-13749-0_19⟩. ⟨hal-01096602⟩

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