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Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9–11, 2012. (English) Zbl 1279.65005

The IMA Volumes in Mathematics and its Applications 157. Cham: Springer (ISBN 978-3-319-01817-1/hbk; 978-3-319-01818-8/ebook). xii, 279 p. (2014).

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The articles of this volume will be reviewed individually.
Indexed articles:
Brezzi, F.; Marini, L. D., A quick tutorial on DG methods for elliptic problems, 1-24 [Zbl 1282.65149]
Shu, Chi-Wang, Discontinuous Galerkin method for time-dependent problems: survey and recent developments, 25-62 [Zbl 1282.65122]
Adjerid, Slimane; Baccouch, Mahboub, Adaptivity and error estimation for discontinuous Galerkin methods, 63-96 [Zbl 1282.65109]
Brenner, S. C.; Sung, L.-Y.; Zhang, Y., A quadratic \(C^0\) interior penalty method for an elliptic optimal control problem with state constraints, 97-132 [Zbl 1282.65074]
Dawson, Clint, A local timestepping Runge-Kutta discontinuous Galerkin method for hurricane storm surge modeling, 133-148 [Zbl 1280.86007]
Demkowicz, Leszek F.; Gopalakrishnan, Jay, An overview of the discontinuous Petrov Galerkin method, 149-180 [Zbl 1282.65152]
Guermond, Jean-Luc; Kanschat, Guido; Ragusa, Jean C., Discontinuous Galerkin for the radiative transport equation, 181-193 [Zbl 1282.65171]
Georgoulis, Emmanuil H.; Hall, Edward; Makridakis, Charalambos, Error control for discontinuous Galerkin methods for first-order hyperbolic problems, 195-207 [Zbl 1282.65110]
Brezzi, F.; Marini, L. D., Virtual element and discontinuous Galerkin methods, 209-221 [Zbl 1282.65150]
Bonito, Andrea; Kyza, Irene; Nochetto, Ricardo H., A DG approach to higher-order ALE formulations in time, 223-258 [Zbl 1282.65117]
Riviere, Beatrice, Discontinuous finite element methods for coupled surface-subsurface flow and transport problems, 259-279 [Zbl 1426.76300]

MSC:

65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65K15 Numerical methods for variational inequalities and related problems
65Z05 Applications to the sciences
76M10 Finite element methods applied to problems in fluid mechanics
00B25 Proceedings of conferences of miscellaneous specific interest

Biographic References:

Barrett, John H.
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