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August 14, 2026ACM Transactions on GraphicsOpen Access

Energy-Controllable Time Integration for Elastodynamic Contact

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Authors

KYKevin YouJZJuntian ZhengMLMinchen Li

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Overview

Simulation study demonstrates flexible energy control and robust stability in dynamic contact problems, indicating improved fidelity in large-deformation physics.

Key Points

  • Develop an unconditionally stable numerical time integrator for elastodynamic contact that permits explicit user control over energy dissipation and conservation.
  • Formulated a generalized class of numerical integrators for Hamiltonian systems that exhibit symplectic behavior on linear systems while maintaining stability on nonlinear systems.
  • Derived A-search, a modified implicit Euler integrator designed to follow target energy trajectories without uncontrolled artificial dissipation.
  • Coupled the integrator with barrier-type contact formulations to maintain strict guarantees against geometric inversion and interpenetration during dynamic collisions.
  • A-search preserved low-frequency kinetic energy and followed target energy profiles without succumbing to excessive numerical damping.
  • Maintained penetration-free and inversion-free physical guarantees across diverse material stiffnesses, scene parameters, and large-deformation impacts.
  • Outperformed standard second-order backward differentiation formulas (BDF2) in simulation fidelity and visual realism at comparable computational runtimes.

Cite This Study

You et al. (2026) studied this question.

synapsesocial.com/papers/6a7ec69fb70b84ec8b912c2bhttps://doi.org/10.1145/3840297
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