Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows

Front Cover
Birkhäuser, May 17, 2016 - Mathematics - 105 pages
The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space and time are derived. The elliptic reconstruction technique is then utilized to derive the a posteriori error bounds for the fully discrete system and to obtain optimal orders of convergence.As coupled surface and subsurface flow over large space and time scales is described by (ADR) equation the methods described in this book are of high importance in many areas of Geosciences including oil and gas recovery, groundwater contamination and sustainable use of groundwater resources, storing greenhouse gases or radioactive waste in the subsurface.

What people are saying - Write a review

We haven't found any reviews in the usual places.


Chapter 1 Introduction
Chapter 2 Discontinuous Galerkin Methods
Chapter 3 Elliptic Problems with Adaptivity
Chapter 4 Parabolic Problems with SpaceTime Adaptivity
Chapter 5 Conclusions and Outline
Appendix A Matlab Tutorial

Other editions - View all

Common terms and phrases

Bibliographic information