Hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

ISBN-13: 9783319676715 / Angielski / Miękka / 2017 / 131 str.

Andrea Cangiani; Zhaonan Dong; Emmanuil H. Georgoulis

Opis

Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations.

Recenzje

"This book should be very useful to Ph.D students and researchers who are eager to explore and understand the mathematical analysis of DGFEMs on polytopic meshes for second-order elliptic equations. The presentation is lucid and the book provides an extensive list of references in the area." (Neela Nataraj, Mathematical Reviews, October, 2018)

Spis treści

1 Introduction.- 2 Introduction to Discontinuous Galerkin Methods.- 3 hp–Inverse and Approximation Estimates.- 4 DGFEMs for Pure Diffusion Problems.- 5 DGFEMs for second–order PDEs of mixed–type.- 6 Implementation Aspects.- 7 Adaptive Mesh Refinement.- 8 Summary and Outlook.- References.