JOHNNY GUZMÁN


Associate Professor of Applied Mathematics

 

My general interest is in numerical analysis with an emphasis on the numerical solutions to partial differential equations. Most of my work has concentrated on the design and analysis of finite element methods including discontinuous Galerkin methods, mixed methods and hybridizable methods. Some of my earlier work focused on local error analysis of finite element methods as well as max-norm error estimates. Some recent work concerns finding inf-sup stable finite elements that preserve physical quantities of interest (e.g. conserve mass exactly, preserve angular momentum exactly).  

I was born and raised in Southern California. I earned my undergraduate degree in mathematics for California State University-Long Beach. I did my Ph.D. work under the guidance of Lars Wahlbin at Cornell University. I received an NSF postdoc to work with Bernardo Cockburn at the University of Minnesota. I started my career at Brown University in 2008 and became Associate Professor in 2013.