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Grady Wright - Meshfree methods for scientific computing

April 8 @ 10:30 am - 11:30 am MDT

“Meshfree Methods for Scientific Computing” 

Presented by Grady Wright
Professor, Department of Mathematics
Boise State University
gradywright@boisestate.edu

Register for this meeting here: https://boisestate.zoom.us/meeting/register/tJwscO6qqzojHtX5l-w7sM-_7izLQi8qlnRN or watch it later on our YouTube: https://www.youtube.com/channel/UCbIwk9__d0L21BVRgRP7EQQ

Abstract

Meshfree methods, such as those based on radial basis functions (RBFs), require no computational grid/mesh like finite difference, finite volume, finite element, discontinuous Galerkin, spectral element, and spectral/pseudospectral methods. This makes them particular useful for applications that feature irregular geometries, or applications where measured or observed data is not given on a nice grid/mesh. Over the past decade meshfree RBF methods have advanced considerably from being shown to work on small toy problems, to being shown to compete favorably with the best current numerical approaches for some large-scale applications. A central driver behind these advances is the development of “local’’, highly scalable, RBF techniques, such as RBF generated finite differences (RBF-FD) and RBF partition-of-unity (RBF-PU) methods. We give an overview of these local RBF methodologies and discuss their applications to certain problems arising in the geophysical and biological sciences. A particular focus will be on applications on surfaces, including geophysical fluid dynamics, pattern formation, and implicit surface reconstruction from point clouds.

Biography

Dr. Grady Wright received his Ph.D. in Applied Mathematics from University of Colorado, Boulder in 2003 and then spent the next four years as an NSF Postdoctoral Fellow at the University of Utah. In 2007, he joined the Department of Mathematics at Boise State University, where he is now Professor of Mathematics. He has also worked as a software engineer in industry, and held visiting research positions at the National Center for Atmospheric Research and the Mathematical Institute at the University of Oxford. Wright’s research interests are in applied and computational mathematics, with particular applications to geosciences and biology, as well as efficient algorithms for high performance computing. He has given numerous invited lectures on his work, including keynote presentations at several international conferences. Wright currently serves as President of the SIAM Pacific Northwest (PNW) section.