hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

1. Introduction
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston

2. Introduction to Discontinuous Galerkin Methods
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston

3. Inverse Estimates and Polynomial Approximation on Polytopic Meshes
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston

4. DGFEMs for Pure Diffusion Problems
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston

5. DGFEMs for Second-Order PDEs of Mixed-Type
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston

6. Implementation Aspects
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston

7. Adaptive Mesh Refinement
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston

8. Summary and Outlook
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis, Paul Houston

Keywords: Mathematics, Computational Mathematics and Numerical Analysis, Mathematics of Computing, Theoretical, Mathematical and Computational Physics