Murat Uzunca

(Author)

Adaptive Discontinuous Galerkin Methods for Non-Linear Reactive Flows (2016)Paperback - 2016, 24 May 2016

Adaptive Discontinuous Galerkin Methods for Non-Linear Reactive Flows (2016)
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Part of Series
Lecture Notes in Geosystems Mathematics and Computing
Part of Series
Geosystems Mathematics
Print Length
105 pages
Language
English
Publisher
Birkhauser
Date Published
24 May 2016
ISBN-10
3319301292
ISBN-13
9783319301297

Description

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.

Product Details

Author:
Murat Uzunca
Book Edition:
2016
Book Format:
Paperback
Country of Origin:
NL
Date Published:
24 May 2016
Dimensions:
23.39 x 15.6 x 0.61 cm
ISBN-10:
3319301292
ISBN-13:
9783319301297
Language:
English
Location:
Cham
Pages:
105
Publisher:
Weight:
172.36 gm

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