Introduction to Optimization Time Integration for Solids and Fluids
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Date
2026
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Second-order optimization methods, such as Newton’s Method, are critical not only in geometry processing for applications like shape deformation and mesh parameterization but also in the robust and accurate simulation of solid and fluid dynamics. In the first part of this course, we will provide a high-level overview of optimization time integration methods, starting from a geometric perspective focused on distortion minimization. Participants will learn how to extend distortion minimization methods to an elastodynamic simulation framework and will explore methods for simulating a variety of materials and phenomena, including cloth, hair, stiff objects, contacts, and fluids. The session also links to a comprehensive online book and a set of illustrative Python examples for the elastodynamic contact part to enhance understanding. In the second part of the course, we will show how various recent advancements in elastodynamic simulation are rooted in such a shared framework. This framework readily supports extensions like subspace methods for fast simulations, enhancements to rig-based animations with physical secondary motion, and the integration of multilevel methods for rapid previews and enhanced user interactivity, among many other applications. By the end of this course, attendees will gain a deeper insight into the close connection between geometry processing and physics-based simulation.
Description
@inproceedings{10.2312:egt.20261007,
booktitle = {Eurographics 2026 - Tutorials},
editor = {},
title = {{Introduction to Optimization Time Integration for Solids and Fluids}},
author = {Zhang, Jiayi (Eris) and Li, Minchen},
year = {2026},
publisher = {The Eurographics Association},
ISSN = {1017-4656},
ISBN = {978-3-03868-267-7},
DOI = {10.2312/egt.20261007}
}