- Oggetto:
Geometric PDEs: Formulation, Analysis, and Approximation
- Oggetto:
Geometric PDEs: Formulation, Analysis, and Approximation
- Oggetto:
Academic year 2019/2020
- Teacher
- Prof. Ricardo Nochetto (Tutor)
- Year
- 1st year
- Type
- Basic
- Credits/Recognition
- Duration: 15 hours
- Delivery
- Formal authority
- Language
- Italian
- Attendance
- Obligatory
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Sommario del corso
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Course objectives
The purpose of this course is to discuss elements of differential geometry in the context of analysis and
approximation of geometric partial differential equations (PDEs). This includes the study of variations of
functionals with respect to shape and applications to several geometric flows, finite element methods for the
Laplace-Beltrami operator, nonlinear plate theory and liquid crystals. The emphasis is on variational
formulations, approximation, and Gamma-convergence.- Oggetto:
Program
1. Introduction
2. Elements of Differential Geometry
3. Shape Differential Calculus
4. Finite Element Methods for the Laplace-Beltrami Operator
5. Geometric Gradient Flows
6. Gamma-Convergence
7. Nonlinear Plate Theory
8. Director Fields and Liquid CrystalsSuggested readings and bibliography
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Note
Teacher: Ricardo Nochetto University of Maryland
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