Noticias en español
An Introduction to Unstructured Mesh Generation and Adaptation
Abstract: Analytic solutions for most PDEs are known only for some simple domains, such as a circle, square, or sphere. In order to obtain solutions for more realistic domains, numerical approximations such as the finite element method (FEM) and finite volume methods (FVM) are used. Mesh generation is a key step prior to these numerical methods. It is itself an active research topic with background in mathematics, computer science, and engineering. Apart from numerical solution of PDEs, its applications are numerous and have practical uses in fields such as archaeology, cinematography and...
Read MoreScalable P-wave passive seismic topography
Abstract: The goal of this work is to simultaneously reconstruct the location-dependent velocity field of seismic P-waves in an underground mine, and the unknown seismic sources during a given period, or dynamically over time, by using only registered data of passively generated P-waves (in particular, not relying on calibration shots as is usually the case). To that end, we develop a two-step algorithm based on Bayesian modeling and on the use, to our knowledge for the first time in geostatistics applications, of a stochastic gradient descent method, a scalable approach which has proved...
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