Five lectures on DPG methods

Abstract

This is a set of lecture notes introducing graduate students to the topic of Discontinuous Petrov-Galerkin (DPG) methods.

Cited by in corpus (7)

• Convergence rates of the DPG method with reduced test space degree
• Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov-Galerkin, and Monotone Mixed Methods
• A Least-Squares Formulation of the Moving Discontinuous Galerkin Finite Element Method with Interface Condition Enforcement
• A Deep Double Ritz Method (D${}^2$RM) for solving Partial Differential Equations using Neural Networks
• On perfectly matched layers for discontinuous Petrov-Galerkin methods
• Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation
• A 3D DPG Maxwell Approach to Nonlinear Raman Gain in Fiber Laser Amplifiers