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:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Birkhäuser
[2023]
|
| Schriftenreihe: | Oberwolfach seminars
volume 51 |
| Schlagworte: | |
| 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. |
| Beschreibung: | xii, 178 Seiten Illustrationen, Diagramme |
| ISBN: | 9783031355493 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV049398985 | ||
| 003 | DE-604 | ||
| 005 | 20240823 | ||
| 007 | t | ||
| 008 | 231107s2023 a||| |||| 00||| eng d | ||
| 020 | |a 9783031355493 |9 978-3-031-35549-3 | ||
| 035 | |a (OCoLC)1408826469 | ||
| 035 | |a (DE-599)KXP1867619512 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G | ||
| 084 | |a MAT 354 |2 stub | ||
| 100 | 1 | |a Bänsch, Eberhard |e Verfasser |0 (DE-588)1214655343 |4 aut | |
| 245 | 1 | 0 | |a Interfaces |b modeling, analysis, numerics |c Eberhard Bänsch, Klaus Deckelnick, Harald Garcke, Paola Pozzi |
| 264 | 1 | |a Cham, Switzerland |b Birkhäuser |c [2023] | |
| 300 | |a xii, 178 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 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. | |
| 650 | 0 | 7 | |a Gradientenfluss |0 (DE-588)4841287-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Level-Set-Methode |0 (DE-588)4700693-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Grenzfläche |0 (DE-588)4021991-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematische Modellierung |0 (DE-588)7651795-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zweiphasenströmung |0 (DE-588)4068223-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Parametrisierung |0 (DE-588)4402701-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Grenzfläche |0 (DE-588)4021991-4 |D s |
| 689 | 0 | 1 | |a Mathematische Modellierung |0 (DE-588)7651795-0 |D s |
| 689 | 0 | 2 | |a Gradientenfluss |0 (DE-588)4841287-9 |D s |
| 689 | 0 | 3 | |a Parametrisierung |0 (DE-588)4402701-1 |D s |
| 689 | 0 | 4 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |D s |
| 689 | 0 | 5 | |a Level-Set-Methode |0 (DE-588)4700693-6 |D s |
| 689 | 0 | 6 | |a Zweiphasenströmung |0 (DE-588)4068223-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Deckelnick, Klaus |e Verfasser |0 (DE-588)172039150 |4 aut | |
| 700 | 1 | |a Garcke, Harald |e Verfasser |0 (DE-588)113626398 |4 aut | |
| 700 | 1 | |a Pozzi, Paola |e Verfasser |0 (DE-588)132137372 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |a Bänsch, Eberhard |t Interfaces |d Cham : Birkhäuser Springer, 2023 |h 1 Online-Ressource |n Online-Ausgabe |z 978-3-031-35550-9 |
| 830 | 0 | |a Oberwolfach seminars |v volume 51 |w (DE-604)BV019806550 |9 51 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034726265 | |
Datensatz im Suchindex
| _version_ | 1808229140079312896 |
|---|---|
| adam_text | |
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV049398985</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240823</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">231107s2023 a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783031355493</subfield><subfield code="9">978-3-031-35549-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1408826469</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1867619512</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 354</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bänsch, Eberhard</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1214655343</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Interfaces</subfield><subfield code="b">modeling, analysis, numerics</subfield><subfield code="c">Eberhard Bänsch, Klaus Deckelnick, Harald Garcke, Paola Pozzi</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham, Switzerland</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">[2023]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xii, 178 Seiten</subfield><subfield code="b">Illustrationen, Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Oberwolfach seminars</subfield><subfield code="v">volume 51</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Differential.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gradientenfluss</subfield><subfield code="0">(DE-588)4841287-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Level-Set-Methode</subfield><subfield code="0">(DE-588)4700693-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Grenzfläche</subfield><subfield code="0">(DE-588)4021991-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Evolutionsgleichung</subfield><subfield code="0">(DE-588)4129061-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Modellierung</subfield><subfield code="0">(DE-588)7651795-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zweiphasenströmung</subfield><subfield code="0">(DE-588)4068223-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Parametrisierung</subfield><subfield code="0">(DE-588)4402701-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Grenzfläche</subfield><subfield code="0">(DE-588)4021991-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematische Modellierung</subfield><subfield code="0">(DE-588)7651795-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Gradientenfluss</subfield><subfield code="0">(DE-588)4841287-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Parametrisierung</subfield><subfield code="0">(DE-588)4402701-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="4"><subfield code="a">Evolutionsgleichung</subfield><subfield code="0">(DE-588)4129061-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="5"><subfield code="a">Level-Set-Methode</subfield><subfield code="0">(DE-588)4700693-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="6"><subfield code="a">Zweiphasenströmung</subfield><subfield code="0">(DE-588)4068223-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Deckelnick, Klaus</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172039150</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Garcke, Harald</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113626398</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pozzi, Paola</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)132137372</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="a">Bänsch, Eberhard</subfield><subfield code="t">Interfaces</subfield><subfield code="d">Cham : Birkhäuser Springer, 2023</subfield><subfield code="h">1 Online-Ressource</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-031-35550-9</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Oberwolfach seminars</subfield><subfield code="v">volume 51</subfield><subfield code="w">(DE-604)BV019806550</subfield><subfield code="9">51</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034726265</subfield></datafield></record></collection> |
| id | DE-604.BV049398985 |
| illustrated | Illustrated |
| index_date | 2024-07-03T23:03:09Z |
| indexdate | 2024-08-24T01:08:08Z |
| 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 |
| spelling | Bänsch, Eberhard Verfasser (DE-588)1214655343 aut Interfaces modeling, analysis, numerics Eberhard Bänsch, Klaus Deckelnick, Harald Garcke, Paola Pozzi Cham, Switzerland Birkhäuser [2023] xii, 178 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Oberwolfach seminars volume 51 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. Geometry, Differential. Differential equations. Gradientenfluss (DE-588)4841287-9 gnd rswk-swf Level-Set-Methode (DE-588)4700693-6 gnd rswk-swf Grenzfläche (DE-588)4021991-4 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf Zweiphasenströmung (DE-588)4068223-7 gnd rswk-swf Parametrisierung (DE-588)4402701-1 gnd rswk-swf Grenzfläche (DE-588)4021991-4 s Mathematische Modellierung (DE-588)7651795-0 s Gradientenfluss (DE-588)4841287-9 s Parametrisierung (DE-588)4402701-1 s Evolutionsgleichung (DE-588)4129061-6 s Level-Set-Methode (DE-588)4700693-6 s Zweiphasenströmung (DE-588)4068223-7 s DE-604 Deckelnick, Klaus Verfasser (DE-588)172039150 aut Garcke, Harald Verfasser (DE-588)113626398 aut Pozzi, Paola Verfasser (DE-588)132137372 aut Erscheint auch als Bänsch, Eberhard Interfaces Cham : Birkhäuser Springer, 2023 1 Online-Ressource Online-Ausgabe 978-3-031-35550-9 Oberwolfach seminars volume 51 (DE-604)BV019806550 51 |
| 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 Level-Set-Methode (DE-588)4700693-6 gnd Grenzfläche (DE-588)4021991-4 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Zweiphasenströmung (DE-588)4068223-7 gnd Parametrisierung (DE-588)4402701-1 gnd |
| subject_GND | (DE-588)4841287-9 (DE-588)4700693-6 (DE-588)4021991-4 (DE-588)4129061-6 (DE-588)7651795-0 (DE-588)4068223-7 (DE-588)4402701-1 |
| title | Interfaces modeling, analysis, numerics |
| title_auth | Interfaces modeling, analysis, numerics |
| title_exact_search | Interfaces modeling, analysis, numerics |
| title_exact_search_txtP | 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 Level-Set-Methode (DE-588)4700693-6 gnd Grenzfläche (DE-588)4021991-4 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Zweiphasenströmung (DE-588)4068223-7 gnd Parametrisierung (DE-588)4402701-1 gnd |
| topic_facet | Geometry, Differential. Differential equations. Gradientenfluss Level-Set-Methode Grenzfläche Evolutionsgleichung Mathematische Modellierung Zweiphasenströmung Parametrisierung |
| volume_link | (DE-604)BV019806550 |
| work_keys_str_mv | AT banscheberhard interfacesmodelinganalysisnumerics AT deckelnickklaus interfacesmodelinganalysisnumerics AT garckeharald interfacesmodelinganalysisnumerics AT pozzipaola interfacesmodelinganalysisnumerics |