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Simulation of elastic rods using conformal geometric algebra

: Brendel, Elmar; Kalbe, Thomas; Hildenbrand, Dietmar; Schäfer, Michael

Kaneda, Y.:
Frontiers of Computational Science 2008. CD-ROM : November 27-29, 2008, Venue: Symposion Hall, Nagoya University
Nagoya: Nagoya University, 2008
ISBN: 978-4-9904336-0-4
International Symposium on Frontiers of Computational Science (FCS) <2008, Nagoya>
Conference Paper
Fraunhofer IGD ()
geometric algebra; geometric computing; finite element method (FEM)

In this paper we present how Geometric Algebra can be used for deformation simulations. The aim is to capture the elastic behavior of simple components like rods. First we will review some other works in this field. Later we present an extended Finite Element Method, which has recently been developed and investigated. Our goal is a proof of concept that Geometric Algebra is able to improve Finite Element Methods. All algorithms presented in this paper work in real-time.