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Discontinuous Petrov-Galerkin Methods for Linear and Nonlinear Problems

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 finite element approximation through a careful selection of the associated trial and test spaces. In this talk, I will present DPG theorems as they apply to linear problems, and then approaches for those theorems in the case of non-linear problems, as well as suggest further approaches to non-linear problems.

Tuesday, May 8, 2018
11:00AM AP&M 2402