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Five lectures on DPG methods

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

Jay Gopalakrishnan

[1] Leszek F. Demkowicz,et al. Analysis of the DPG Method for the Poisson Equation , 2011, SIAM J. Numer. Anal..

[2] C. Bottasso,et al. The discontinuous Petrov–Galerkin method for elliptic problems , 2002 .

[3] Wolfgang Dahmen,et al. Adaptive Petrov-Galerkin Methods for First Order Transport Equations , 2011, SIAM J. Numer. Anal..

[4] Leszek F. Demkowicz,et al. A primal DPG method without a first-order reformulation , 2013, Comput. Math. Appl..

[5] Leszek Demkowicz,et al. A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions , 2011 .

[6] Weifeng Qiu,et al. An analysis of the practical DPG method , 2011, Math. Comput..

[7] Leszek Demkowicz,et al. A Class of Discontinuous Petrov–Galerkin Methods. Part I: The Transport Equation , 2010 .