logo-polimi
Loading...
Degree programme
Programme Structure
Show/Search Programme
Course Details
Save Document
Degree Programme
Degree Programme not available
Faculty
Infrastructures
Quantitative data
International context
Customized Schedule
Your customized time schedule has been disabled
Enable
Search
Search a Professor
Search a Course
Search a Course (system prior D.M. n. 509)
Search Lessons taught in English

Glossary
Semester (Sem)
1First Semester
2Second Semester
AAnnual course
(1)First Half-semester
(2)Second Half-semester
Educational activities
BIdentifying activities
CSimilar or integrative activities
Language
Course completely offered in italian
Course completely offered in english
--Not available
Innovative teaching
The credits shown next to this symbol indicate the part of the course CFUs provided with Innovative teaching.
These CFUs include:
  • Subject taught jointly with companies or organizations
  • Blended Learning & Flipped Classroom
  • Massive Open Online Courses (MOOC)
  • Soft Skills
Course Details
Context
Academic Year 2014/2015
School School of Industrial and Information Engineering
Name (Master of Science degree)(ord. 270) - MI (403) Mathematical Engineering
Track MSC - Scienze computazionali per l'ingegneria
Programme Year 2

Course Details
ID Code 096760
Course Title GEOMETRIC PDE ON DEFORMABLE SURFACES
Course Type Mono-Disciplinary Course
Credits (CFU / ECTS) 5.0
Semester Second Semester(Second Half-semester)
Course Description We present a comprehensive approach to the formulation and discretization of geometric PDE governing processes relevant in biophysics and materials science. We start with key elements of differential geometry and shape differential calculus which enable us to compute first variations of domain and boundary functionals. We propose geometric gradient flows as a relaxation towards equilibrium and derive the corresponding dynamic equations and their finite element approximation. We apply this framework to mean curvature flow, surface diffusion, and Helfrich flow (Willmore flow with area and volume constraints). We compare the dynamics of biomembranes dictated by either relaxation or an incompressible fluid. We examine the coupling of director fields with flexible surfaces, as occur in models of surfactants and gels. We conclude with large bending deformations with isometry constraint and their application to bilayer actuators.
Scientific-Disciplinary Sector (SSD)
Educational activities SSD Code SSD Description CFU
B,C
MAT/08
NUMERICAL ANALYSIS
5.0

Schedule, add and removeAlphabetical groupProfessorLanguageCourse details
From (included)To (excluded)
--AZZZZNochetto Ricardo Horacio--
manifesti v. 3.1.3 / 3.1.3
Area Servizi ICT
20/10/2019