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Advanced Finite Element Analysis

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Reduced Order Methods for Computational Mechanics

The course aims to provide the basic aspects of numerical approximation and efficient solution of parametrized; PDEs for computational mechanics problem (heat and mass transfer, linear elasticity, viscous and potential flows) using reduced order methods.

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Topics in Computational Fluid Dynamics

Location:

A-133 on 29/05, 31/05
A-004 on 30/05

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Applied Mathematics: numerical analysis and scientific computing

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Topics in Continuum Mechanics

Reminders on Linear Algebra and Tensor Calculus
Kinematics of deformable bodies
Eulerian and Lagrangian descriptions of motion
Balance laws of continuum mechanics: conservation of mass, balance of linear and angular momentum, energy balance and dissipation inequality
Constitutive equations
Fluid dynamics: the Navier Stokes equations
Solid mechanics: nonlinear and linearized elasticity
Selected topics from the mechanics of biological systems

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Reduced order methods in computational fluid dynamics, with application to cardiovascular flows

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Fluid/structure interaction for the flow in the left heart ventricle coupled with natural and prosthetic mitral valves

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The Geometry and Mechanics of Growing Elastic Sheets

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Understanding the basics: Mathematical Modelling and Numerical Simulation of micro-swimmers

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Non-linear Schrödinger system for the dynamics of a binary condensate: theory and 2D numerics

Michelangeli A, Pitton G. Non-linear Schrödinger system for the dynamics of a binary condensate: theory and 2D numerics.; 2016. Available from: http://urania.sissa.it/xmlui/handle/1963/35266

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