Subspace Mixed-FEM for Real-Time Heterogeneous Elastodynamics

TL;DR

This paper introduces a reduced space mixed finite element method that efficiently simulates complex, heterogeneous elastodynamics scenes in real-time, achieving high frame rates for detailed geometries with diverse materials.

Contribution

It presents a novel subspace mixed FEM approach based on Skinning Eigenmodes and material-aware cubature for real-time heterogeneous elastodynamics simulation.

Findings

Simulation runs at 120 FPS on complex geometry

Handles large material heterogeneities efficiently

Achieves real-time performance for detailed models

Abstract

We propose a reduced space mixed finite element method (MFEM) built on a Skinning Eigenmode subspace and material-aware cubature scheme. Our solver is well-suited for simulating scenes with large material and geometric heterogeneities in real-time. This mammoth geometry is composed of 98,175 vertices and 531,565 tetrahedral elements and with a heterogenous composition of widely varying materials of muscles ($E= 5\times10^5$ Pa), joints ($E=1\times10^5$ Pa), and bone ($E=1\times10^{10}$ Pa). The resulting simulation runs at 120 frames per second (FPS).