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Adaptive discontinuous Galerkin methods for non-linear reactive flows

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Adaptive discontinuous Galerkin methods for non-linear reactive flows/ by Murat Uzunca.
Author:	Uzunca, Murat.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	ix, 105 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Galerkin methods. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-30130-3
ISBN:	9783319301303

Adaptive discontinuous Galerkin methods for non-linear reactive flows
Uzunca, Murat.

Adaptive discontinuous Galerkin methods for non-linear reactive flows[electronic resource] /by Murat Uzunca. - Cham :Springer International Publishing :2016. - ix, 105 p. :ill. (some col.), digital ;24 cm. - Lecture notes in geosystems mathematics and computing. - Lecture notes in geosystems mathematics and computing..

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.

ISBN: 9783319301303

Standard No.: 10.1007/978-3-319-30130-3doiSubjects--Topical Terms:

528027
Galerkin methods.

LC Class. No.: QA372

Dewey Class. No.: 518.63

Adaptive discontinuous Galerkin methods for non-linear reactive flows
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520 $a 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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