Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

1. A Quick Tutorial on DG Methods for Elliptic Problems
F. Brezzi, L. D. Marini

2. Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments
Chi-Wang Shu

3. Adaptivity and Error Estimation for Discontinuous Galerkin Methods
Slimane Adjerid, Mahboub Baccouch

4. A Quadratic C
0 Interior Penalty Method for an Elliptic Optimal Control Problem with State Constraints
S. C. Brenner, L.-Y. Sung, Y. Zhang

5. A Local Timestepping Runge–Kutta Discontinuous Galerkin Method for Hurricane Storm Surge Modeling
Clint Dawson

6. An Overview of the Discontinuous Petrov Galerkin Method
Leszek F. Demkowicz, Jay Gopalakrishnan

7. Discontinuous Galerkin for the Radiative Transport Equation
Jean-Luc Guermond, Guido Kanschat, Jean C. Ragusa

8. Error Control for Discontinuous Galerkin Methods for First Order Hyperbolic Problems
Emmanuil H. Georgoulis, Edward Hall, Charalambos Makridakis

9. Virtual Element and Discontinuous Galerkin Methods
F. Brezzi, L. D. Marini

10. A dG Approach to Higher Order ALE Formulations in Time
Andrea Bonito, Irene Kyza, Ricardo H. Nochetto

11. Discontinuous Finite Element Methods for Coupled Surface–Subsurface Flow and Transport Problems
Beatrice Riviere

Keywords: Mathematics, Numerical Analysis, Partial Differential Equations, Analysis