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This is a set of lecture notes introducing graduate students to the topic of Discontinuous Petrov-Galerkin (DPG) methods.
The discontinuous Petrov-Galerkin method for elliptic problems
C. L. Bottasso, S. Micheletti, and R. Sacco · 2002
Earlier work this paper cites.
A class of discontinuous Petrov-Galerkin methods. Part I: The transport equation
L. Demkowicz and J. Gopalakrishnan · 2010
Earlier work this paper cites.
Analysis of the DPG method for the Poisson equation
L. Demkowicz and J. Gopalakrishnan · 2011
Earlier work this paper cites.
A class of discontinuous Petrov-Galerkin methods. Part II: Optimal test functions
L. Demkowicz and J. Gopalakrishnan · 2011
Cited alongside, same era.
Adaptive Petrov-Galerkin methods for first order transport equations
W. Dahmen, C. Huang, C. Schwab, and G. Welper · 2012
Cited alongside, same era.
A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form,
D. Broersen and R. Stevenson, · 2013
Cited alongside, same era.
An overview of the discontinuous Petrov Galerkin method
L. Demkowicz and J. Gopalakrishnan · 2013
Closest in time.
A primal DPG method without a first-order reformulation
L. Demkowicz and J. Gopalakrishnan · 2013
Closest in time.
An analysis of the practical DPG method
J. Gopalakrishnan and W. Qiu · 2013
Closest in time.
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