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An Introduction to Discontinuous Petrov-Galerkin Methods

Jor-el Briones


Finite element methods are numerical methods that approximate solutions to PDEs using functions on a mesh representing the problem domain. Discontinuous-Petrov Galerkin Methods are a class of finite element methods that are aimed at achieving stability of the Petrov-Galerkin approximation through a careful selection of the associated trial and test spaces. Recent methods developed by Jay Gopalkrishnan and Lezscek Demcowicz generate 'optimal test functions' from the trial spaces that approach the desired optimal stability. In this talk, I will present an introduction to the Discontinuous Petrov-Galerkin Method using optimal test functions, as well as suggest further areas of study.

Tuesday, February 21, 2017
11:00AM AP&M 2402