Adaptive discontinuous Galerkin methods for non-linear reactive flows:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Cham]
Birkhäuser
[2016]
|
| Schriftenreihe: | Lecture notes in geosystems mathematics and computing
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (IX, 105 Seiten, 38 illus., 10 illus. in color) |
| ISBN: | 9783319301303 |
| DOI: | 10.1007/978-3-319-30130-3 |
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Datensatz im Suchindex
| _version_ | 1804176261113708544 |
|---|---|
| adam_text | ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR NON-LINEAR REACTIVE FLOWS
/ UZUNCA, MURAT
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR NON-LINEAR REACTIVE FLOWS
/ UZUNCA, MURAT
: 2016
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Uzunca, Murat |
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| discipline | Mathematik |
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| institution | BVB |
| isbn | 9783319301303 |
| language | English |
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| series2 | Lecture notes in geosystems mathematics and computing |
| spelling | Uzunca, Murat Verfasser (DE-588)1102539651 aut Adaptive discontinuous Galerkin methods for non-linear reactive flows Murat Uzunca [Cham] Birkhäuser [2016] © 2016 1 Online-Ressource (IX, 105 Seiten, 38 illus., 10 illus. in color) txt rdacontent c rdamedia cr rdacarrier Lecture notes in geosystems mathematics and computing Mathematics Geophysics Partial differential equations Numerical analysis Numerical Analysis Partial Differential Equations Geophysics/Geodesy Mathematik Erscheint auch als Druckausgabe 978-3-319-30129-7 https://doi.org/10.1007/978-3-319-30130-3 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994320&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994320&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Uzunca, Murat Adaptive discontinuous Galerkin methods for non-linear reactive flows Mathematics Geophysics Partial differential equations Numerical analysis Numerical Analysis Partial Differential Equations Geophysics/Geodesy Mathematik |
| title | Adaptive discontinuous Galerkin methods for non-linear reactive flows |
| title_auth | Adaptive discontinuous Galerkin methods for non-linear reactive flows |
| title_exact_search | Adaptive discontinuous Galerkin methods for non-linear reactive flows |
| title_full | Adaptive discontinuous Galerkin methods for non-linear reactive flows Murat Uzunca |
| title_fullStr | Adaptive discontinuous Galerkin methods for non-linear reactive flows Murat Uzunca |
| title_full_unstemmed | Adaptive discontinuous Galerkin methods for non-linear reactive flows Murat Uzunca |
| title_short | Adaptive discontinuous Galerkin methods for non-linear reactive flows |
| title_sort | adaptive discontinuous galerkin methods for non linear reactive flows |
| topic | Mathematics Geophysics Partial differential equations Numerical analysis Numerical Analysis Partial Differential Equations Geophysics/Geodesy Mathematik |
| topic_facet | Mathematics Geophysics Partial differential equations Numerical analysis Numerical Analysis Partial Differential Equations Geophysics/Geodesy Mathematik |
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