Efficient, Physically Plausible Finite Elements

Matthieu Nesme, Yohan Payan, François Fauré

HAL (Le Centre pour la Communication Scientifique Directe) · 2005 · 81 citations · 0 references

DOIFull text

Open access

Concepts

Abstract

This paper discusses FEM-based simulations of soft bodies in terms of speed and robustness. To be physically plausible, three fundamental laws must be respected: rotational invariance, Newton's law and Euler's law. We show that precomputed strain-displacement matrices generate nonphysical torques which can lead to visual artifacts. We then derive the fastest FEM-based method meeting our criteria of plausibility and robustness and discuss their limitations.