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Interfaces = modeling, analysis, num...

Bansch, Eberhard.

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Interfaces = modeling, analysis, numerics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Interfaces/ by Eberhard Bansch ... [et al.].
Reminder of title:	modeling, analysis, numerics /
other author:	Bansch, Eberhard.
Published:	Cham :Springer Nature Switzerland : : 2023.,
Description:	xii, 178 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1. Introduction -- 2. Some Notions from Differential Geometry -- 3. Modeling -- 4. Parametric Approaches for Geometric Evolution Equations and Interfaces -- 5. Implicit Approaches for Interfaces -- 6. Numerical Methods for Complex Interface Evolutions -- 7. Exercises.
Contained By:	Springer Nature eBook
Subject:	Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-031-35550-9
ISBN:	9783031355509

Interfaces = modeling, analysis, numerics /
Interfacesmodeling, analysis, numerics /[electronic resource] :by Eberhard Bansch ... [et al.]. - Cham :Springer Nature Switzerland :2023. - xii, 178 p. :ill. (some col.), digital ;24 cm. - Oberwolfach seminars,v. 512296-5041 ;. - Oberwolfach seminars ;v. 51..

1. Introduction -- 2. Some Notions from Differential Geometry -- 3. Modeling -- 4. Parametric Approaches for Geometric Evolution Equations and Interfaces -- 5. Implicit Approaches for Interfaces -- 6. Numerical Methods for Complex Interface Evolutions -- 7. Exercises.

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.

ISBN: 9783031355509

Standard No.: 10.1007/978-3-031-35550-9doiSubjects--Topical Terms:

522882
Mathematical models.

LC Class. No.: QA401

Dewey Class. No.: 511.8

Interfaces = modeling, analysis, numerics /
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245 0 0 $a Interfaces $h [electronic resource] : $b modeling, analysis, numerics / $c by Eberhard Bansch ... [et al.].
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2023.
300 $a xii, 178 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Oberwolfach seminars, $x 2296-5041 ; $v v. 51
505 0 $a 1. Introduction -- 2. Some Notions from Differential Geometry -- 3. Modeling -- 4. Parametric Approaches for Geometric Evolution Equations and Interfaces -- 5. Implicit Approaches for Interfaces -- 6. Numerical Methods for Complex Interface Evolutions -- 7. Exercises.
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 0 $a Mathematical models. $3 522882
650 0 $a Geometry, Differential. $3 523835
650 0 $a Boundary value problems. $3 527599
650 0 $a Interfaces (Physical sciences) $x Mathematics. $3 732102
650 1 4 $a Differential Geometry. $3 891003
650 2 4 $a Differential Equations. $3 907890
700 1 $a Bansch, Eberhard. $3 3668098
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Oberwolfach seminars ; $v v. 51. $3 3668099
856 4 0 $u https://doi.org/10.1007/978-3-031-35550-9
950 $a Mathematics and Statistics (SpringerNature-11649)