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Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows

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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.

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Detail Information

Series Title

Lecture Notes in Geosystems Mathematics and Computing

Call Number

515.3 UZU a

Publisher

: ., 2016

Collation

IX, 105

Language

English

ISBN/ISSN

978-3-319-30130-3

Classification

515.3

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Numerical Analysis
Differential equations

Specific Detail Info

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Statement of Responsibility

Murat Uzunca

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-30130-3.pdf?pdf=button

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