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Watch a technical seminar from the FEM@LLNL series where Daniele Panozzo from Courant Institute and NYU explores the development of robust geometric algorithms for elastodynamics simulation. Dive into the challenges of creating reliable PDE solvers and discover a groundbreaking approach using incremental potential contact simulation that guarantees trajectory validity while accounting for floating point rounding errors. Learn how combining rational and interval types ensures computational accuracy without sacrificing performance, and explore practical applications in microscopy and biomechanics, including traction force measurement in zebrafish and simulation of fibrous materials. The presentation demonstrates how conservative line-search methods for collision detection and element validity checking can overcome the limitations of current state-of-the-art approaches, leading to more dependable simulation software for scientific computing and engineering applications.
