Combining finite element method and l-systems using natural information flow propagation to simulate growing dynamical systems

Abstract

This paper shows how to solve a system of differential equations 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.