Teseo Schneider (ECR Graphics, 2025)
Bio: Teseo Schneider is an Assistant Professor in Computer Science at the University of Victoria, Canada. Teseo earned his Ph.D. in Computer Science from the Universita della Svizzera italiana (2017) with the thesis entitled “Theory and Applications of Bijective Barycentric Mappings.” He earned a PostdocMobility fellowship from the Swiss National Science Foundation (SNSF) to pursue his research at the Courant Institute of Mathematical Science at the New York University, aiming to bridge physical simulations and geometry. His research interests are finite element simulations, mathemUniversityatics, discrete differential geometry, and geometry processing. Teseo is the leading developer of Polyfem (https://polyfem.github.io/), a flexible and easy-to-use Finite Element Library. He is one of the maintainers of libigl (https://github.com/libigl/libigl) and a contributor to wild meshing (https://github.com/wildmeshing), a 2D and 3D robust meshing library.
Title: Robust Geometry Processing for Physical Simulation
Abstract: Numerical solutions of partial differential equations (PDEs) are widely used in engineering, especially for modelling phenomena like elastic deformations or fluid simulations. The finite element method (FEM) is the most commonly used technique for discretizing PDEs because of its versatility and range of available (commercial) implementations. Typically, the PDE solver treats meshing and basis construction as separate problems. However, the basis construction may make assumptions that lead to challenging requirements for meshing software. This can be a significant issue for applications that require fully automatic, robust processing of large collections of meshes or when the PDE solver needs to change the mesh. We present recent advancements that have led to a unified pipeline that considers meshing and element design as a single challenge. This approach enables a PDE solver that can handle simulations on thousands of domains without requiring parameter tuning.