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The Resource Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows, by Murat Uzunca, (electronic resource)

Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows, by Murat Uzunca, (electronic resource)

Label
Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows
Title
Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows
Statement of responsibility
by Murat Uzunca
Creator
Subject
Language
eng
Summary
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--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Uzunca, Murat
Image bit depth
0
Literary form
non fiction
Series statement
Geosystems Mathematics
http://library.link/vocab/subjectName
  • Mathematics
  • Geophysics
  • Partial differential equations
  • Numerical analysis
Label
Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows, by Murat Uzunca, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-30130-3
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
1 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
Control code
978-3-319-30130-3
Dimensions
unknown
Extent
1 online resource (ix, 105 pages)
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319301303
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-3-319-30130-3
Other physical details
38 illustrations, 10 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)949930396
Label
Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows, by Murat Uzunca, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-30130-3
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
1 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
Control code
978-3-319-30130-3
Dimensions
unknown
Extent
1 online resource (ix, 105 pages)
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319301303
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-3-319-30130-3
Other physical details
38 illustrations, 10 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)949930396

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