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010   $a3-319-30130-6
024 7 $a10.1007/978-3-319-30130-3
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035   $a(DE-He213)978-3-319-30130-3
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035   $a(PPN)19407840X
035   $a(EXLCZ)993710000000685932
100   $a20160517d2016      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAdaptive discontinuous Galerkin methods for non-linear reactive flows /$fby Murat Uzunca
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016.
215   $a1 online resource (111 p.)
225 1 $aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996
300   $aDescription based upon print version of record.
311   $a3-319-30129-2 
320   $aIncludes bibliographical references.
327   $a1 INTRODUCTION -- 1.1 Geological and computational background -- 1.2 Outline -- 2 DISCONTINUOUS GALERKIN METHODS -- 2.1 Preliminaries -- 2.2 Construction of IPG Methods -- 2.3 Computation Tools for Integral Terms -- 2.4 Effect of Penalty Parameter -- 2.5 Problems with Convection -- 3 ELLIPTIC PROBLEMS WITH ADAPTIVITY -- 3.1 Model Elliptic Problem -- 3.2 Adaptivity -- 3.3 Solution of Linearized Systems -- 3.4 Comparison with Galerkin Least Squares FEM (GLSFEM) -- 3.5 Numerical Examples -- 4 PARABOLIC PROBLEMS WITH TIME-SPACE ADAPTIVITY -- 4.1 Preliminaries and Model Equation -- 4.2 Semi-Discrete and Fully Discrete Formulations -- 4.3 Time-Space Adaptivity for Non-Stationary Problems -- 4.4 Solution of Fully Discrete System -- 4.5 Numerical Examples.-REFERENCES. .
330   $aThe focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space and time are derived. The elliptic reconstruction technique is then utilized to derive the a posteriori error bounds for the fully discrete system and to obtain optimal orders of convergence. As coupled surface and subsurface flow over large space and time scales is described by (ADR) equation the methods described in this book are of high importance in many areas of Geosciences including oil and gas recovery, groundwater contamination and sustainable use of groundwater resources, storing greenhouse gases or radioactive waste in the subsurface.
410  0$aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996
606   $aNumerical analysis
606   $aPartial differential equations
606   $aGeophysics
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009
615  0$aNumerical analysis.
615  0$aPartial differential equations.
615  0$aGeophysics.
615 14$aNumerical Analysis.
615 24$aPartial Differential Equations.
615 24$aGeophysics/Geodesy.
676   $a510
700   $aUzunca$b Murat$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755791
906   $aBOOK
912   $a9910254069703321
996   $aAdaptive discontinuous Galerkin methods for non-linear reactive flows$91523057
997   $aUNINA