Mostly Biomathematics Lunchtime Seminar

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Robust Geometry Processing for Physical Simulation in Microscopy and Biomechanics

Speaker: Daniele Panozzo, Courant Institute of Mathematical Sciences, New York University

Location: Warren Weaver Hall 1314

Date: Tuesday, October 18, 2022, 12:30 p.m.

Synopsis:

The numerical solution of Partial Differential Equations (PDEs) is ubiquitously used for physical simulation in scientific computing and engineering. Ideally, a PDE solver should be opaque: the user provides as input the domain boundary, boundary conditions, and the governing equations, and the code returns an evaluator that can compute the value of the solution at any point of the input domain. This is surprisingly far from being the case for all existing open-source or commercial software.  I will present an integrated approach, considering data acquisition, meshing, basis design, and numerical optimization as a single challenge, where tradeoffs can be made between different phases to increase automation and efficiency. I will present a set of applications enabled by this approach in microscopy and biomechanics, including traction force estimation on live zebrafish exemplars and accurate modeling and simulation of the human hip and jaw from medical images.