Property-preserving numerical schemes for conservation laws:
"High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum...
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2024]
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and/or essentially nonoscillatory reconstructions. An introduction to classical nonlinear stabilization approaches is given in the simple context of one-dimensional finite volume discretizations. Subsequent chapters of Part I are focused on recent extensions to continuous and discontinuous Galerkin methods. Many of the algorithms presented in these chapters were developed by the authors and their collaborators. Part II gives a deeper insight into the mathematical theory of property-preserving numerical schemes. It begins with a review of the convergence theory for finite volume methods and ends with analysis of algebraic flux correction schemes for finite elements. In addition to providing ready-to-use algorithms, this text explains the design principles behind such algorithms and shows how to put theory into practice. Although the book is based on lecture notes written for an advanced graduate-level course, it is also aimed at senior researchers who develop and analyze numerical methods for hyperbolic problems"-- |
| Beschreibung: | Literaturverzeichnis: Seite 431-460 |
| Beschreibung: | xx, 470 Seiten Illustrationen 24 cm |
| ISBN: | 9789811278181 |
Internformat
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| 520 | 3 | |a "High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and/or essentially nonoscillatory reconstructions. An introduction to classical nonlinear stabilization approaches is given in the simple context of one-dimensional finite volume discretizations. Subsequent chapters of Part I are focused on recent extensions to continuous and discontinuous Galerkin methods. Many of the algorithms presented in these chapters were developed by the authors and their collaborators. Part II gives a deeper insight into the mathematical theory of property-preserving numerical schemes. It begins with a review of the convergence theory for finite volume methods and ends with analysis of algebraic flux correction schemes for finite elements. In addition to providing ready-to-use algorithms, this text explains the design principles behind such algorithms and shows how to put theory into practice. Although the book is based on lecture notes written for an advanced graduate-level course, it is also aimed at senior researchers who develop and analyze numerical methods for hyperbolic problems"-- | |
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Datensatz im Suchindex
| _version_ | 1824302168890408960 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Kuzmin, D. 1974- Hajduk, Hennes 1992- |
| author_GND | (DE-588)1011171775 (DE-588)1182436048 |
| author_facet | Kuzmin, D. 1974- Hajduk, Hennes 1992- |
| author_role | aut aut |
| author_sort | Kuzmin, D. 1974- |
| author_variant | d k dk h h hh |
| building | Verbundindex |
| bvnumber | BV049954179 |
| classification_tum | MAT 671 |
| ctrlnum | (DE-599)KXP186609128X |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV049954179 |
| illustrated | Illustrated |
| indexdate | 2025-02-17T11:02:03Z |
| institution | BVB |
| isbn | 9789811278181 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035292154 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xx, 470 Seiten Illustrationen 24 cm |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Kuzmin, D. 1974- Verfasser (DE-588)1011171775 aut Property-preserving numerical schemes for conservation laws Dmitri Kuzmin, Hennes Hajduk (TU Dortmund University, Germany) New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2024] xx, 470 Seiten Illustrationen 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturverzeichnis: Seite 431-460 "High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and/or essentially nonoscillatory reconstructions. An introduction to classical nonlinear stabilization approaches is given in the simple context of one-dimensional finite volume discretizations. Subsequent chapters of Part I are focused on recent extensions to continuous and discontinuous Galerkin methods. Many of the algorithms presented in these chapters were developed by the authors and their collaborators. Part II gives a deeper insight into the mathematical theory of property-preserving numerical schemes. It begins with a review of the convergence theory for finite volume methods and ends with analysis of algebraic flux correction schemes for finite elements. In addition to providing ready-to-use algorithms, this text explains the design principles behind such algorithms and shows how to put theory into practice. Although the book is based on lecture notes written for an advanced graduate-level course, it is also aimed at senior researchers who develop and analyze numerical methods for hyperbolic problems"-- FCT-Verfahren (DE-588)4821486-3 gnd rswk-swf Diskretisierungsverfahren (DE-588)4648250-7 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Galerkin-Methode (DE-588)4155831-5 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf TVD-Verfahren (DE-588)4773015-8 gnd rswk-swf Hyperbolisches Anfangswertproblem (DE-588)7635517-2 gnd rswk-swf Conservation laws (Mathematics) / Numerical solutions Differential equations, Hyperbolic / Numerical solutions Numerische Strömungssimulation (DE-588)4690080-9 s Erhaltungssatz (DE-588)4131214-4 s Hyperbolisches Anfangswertproblem (DE-588)7635517-2 s Diskretisierungsverfahren (DE-588)4648250-7 s Galerkin-Methode (DE-588)4155831-5 s FCT-Verfahren (DE-588)4821486-3 s TVD-Verfahren (DE-588)4773015-8 s DE-604 Hajduk, Hennes 1992- Verfasser (DE-588)1182436048 aut Erscheint auch als Online-Ausgabe, ebook for institutions 978-981-127-819-8 Erscheint auch als Online-Ausgabe, ebook for individuals 978-981-127-820-4 B:DE-89 V:DE-601 pdf/application https://www.gbv.de/dms/tib-ub-hannover/186609128X.pdf 2024-11-07 Inhaltsverzeichnis |
| spellingShingle | Kuzmin, D. 1974- Hajduk, Hennes 1992- Property-preserving numerical schemes for conservation laws FCT-Verfahren (DE-588)4821486-3 gnd Diskretisierungsverfahren (DE-588)4648250-7 gnd Erhaltungssatz (DE-588)4131214-4 gnd Galerkin-Methode (DE-588)4155831-5 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd TVD-Verfahren (DE-588)4773015-8 gnd Hyperbolisches Anfangswertproblem (DE-588)7635517-2 gnd |
| subject_GND | (DE-588)4821486-3 (DE-588)4648250-7 (DE-588)4131214-4 (DE-588)4155831-5 (DE-588)4690080-9 (DE-588)4773015-8 (DE-588)7635517-2 |
| title | Property-preserving numerical schemes for conservation laws |
| title_auth | Property-preserving numerical schemes for conservation laws |
| title_exact_search | Property-preserving numerical schemes for conservation laws |
| title_full | Property-preserving numerical schemes for conservation laws Dmitri Kuzmin, Hennes Hajduk (TU Dortmund University, Germany) |
| title_fullStr | Property-preserving numerical schemes for conservation laws Dmitri Kuzmin, Hennes Hajduk (TU Dortmund University, Germany) |
| title_full_unstemmed | Property-preserving numerical schemes for conservation laws Dmitri Kuzmin, Hennes Hajduk (TU Dortmund University, Germany) |
| title_short | Property-preserving numerical schemes for conservation laws |
| title_sort | property preserving numerical schemes for conservation laws |
| topic | FCT-Verfahren (DE-588)4821486-3 gnd Diskretisierungsverfahren (DE-588)4648250-7 gnd Erhaltungssatz (DE-588)4131214-4 gnd Galerkin-Methode (DE-588)4155831-5 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd TVD-Verfahren (DE-588)4773015-8 gnd Hyperbolisches Anfangswertproblem (DE-588)7635517-2 gnd |
| topic_facet | FCT-Verfahren Diskretisierungsverfahren Erhaltungssatz Galerkin-Methode Numerische Strömungssimulation TVD-Verfahren Hyperbolisches Anfangswertproblem |
| url | https://www.gbv.de/dms/tib-ub-hannover/186609128X.pdf |
| work_keys_str_mv | AT kuzmind propertypreservingnumericalschemesforconservationlaws AT hajdukhennes propertypreservingnumericalschemesforconservationlaws |