Interfaces: modeling, analysis, numerics
These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure int...
Gespeichert in:
| Beteiligte Personen: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham, Switzerland
Birkhäuser
[2023]
|
| Schriftenreihe: | Oberwolfach seminars
volume 51 |
| Schlagwörter: | |
| Zusammenfassung: | These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization. We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions. |
| Umfang: | xii, 178 Seiten Illustrationen, Diagramme |
| ISBN: | 9783031355493 |
Internformat
MARC
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Oberwolfach seminars |v volume 51 | |
| 520 | |a These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization. We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions. | ||
| 650 | 4 | |a Geometry, Differential. | |
| 650 | 4 | |a Differential equations. | |
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| 650 | 0 | 7 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001 2001 A 1046-51 |
|---|---|
| DE-BY-TUM_katkey | 2767022 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040008823292 |
| _version_ | 1821934329876447232 |
| any_adam_object | |
| author | Bänsch, Eberhard Deckelnick, Klaus Garcke, Harald Pozzi, Paola |
| author_GND | (DE-588)1214655343 (DE-588)172039150 (DE-588)113626398 (DE-588)132137372 |
| author_facet | Bänsch, Eberhard Deckelnick, Klaus Garcke, Harald Pozzi, Paola |
| author_role | aut aut aut aut |
| author_sort | Bänsch, Eberhard |
| author_variant | e b eb k d kd h g hg p p pp |
| building | Verbundindex |
| bvnumber | BV049398985 |
| classification_tum | MAT 354 |
| ctrlnum | (OCoLC)1408826469 (DE-599)KXP1867619512 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV049398985 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T20:11:01Z |
| institution | BVB |
| isbn | 9783031355493 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034726265 |
| oclc_num | 1408826469 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xii, 178 Seiten Illustrationen, Diagramme |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Oberwolfach seminars |
| series2 | Oberwolfach seminars |
| spellingShingle | Bänsch, Eberhard Deckelnick, Klaus Garcke, Harald Pozzi, Paola Interfaces modeling, analysis, numerics Oberwolfach seminars Geometry, Differential. Differential equations. Gradientenfluss (DE-588)4841287-9 gnd Zweiphasenströmung (DE-588)4068223-7 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Parametrisierung (DE-588)4402701-1 gnd Grenzfläche (DE-588)4021991-4 gnd Level-Set-Methode (DE-588)4700693-6 gnd |
| subject_GND | (DE-588)4841287-9 (DE-588)4068223-7 (DE-588)7651795-0 (DE-588)4129061-6 (DE-588)4402701-1 (DE-588)4021991-4 (DE-588)4700693-6 |
| title | Interfaces modeling, analysis, numerics |
| title_auth | Interfaces modeling, analysis, numerics |
| title_exact_search | Interfaces modeling, analysis, numerics |
| title_full | Interfaces modeling, analysis, numerics Eberhard Bänsch, Klaus Deckelnick, Harald Garcke, Paola Pozzi |
| title_fullStr | Interfaces modeling, analysis, numerics Eberhard Bänsch, Klaus Deckelnick, Harald Garcke, Paola Pozzi |
| title_full_unstemmed | Interfaces modeling, analysis, numerics Eberhard Bänsch, Klaus Deckelnick, Harald Garcke, Paola Pozzi |
| title_short | Interfaces |
| title_sort | interfaces modeling analysis numerics |
| title_sub | modeling, analysis, numerics |
| topic | Geometry, Differential. Differential equations. Gradientenfluss (DE-588)4841287-9 gnd Zweiphasenströmung (DE-588)4068223-7 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Parametrisierung (DE-588)4402701-1 gnd Grenzfläche (DE-588)4021991-4 gnd Level-Set-Methode (DE-588)4700693-6 gnd |
| topic_facet | Geometry, Differential. Differential equations. Gradientenfluss Zweiphasenströmung Mathematische Modellierung Evolutionsgleichung Parametrisierung Grenzfläche Level-Set-Methode |
| volume_link | (DE-604)BV019806550 |
| work_keys_str_mv | AT banscheberhard interfacesmodelinganalysisnumerics AT deckelnickklaus interfacesmodelinganalysisnumerics AT garckeharald interfacesmodelinganalysisnumerics AT pozzipaola interfacesmodelinganalysisnumerics |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001 2001 A 1046-51 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |