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Lecture Notes

  • Miguel Ángel Fernández (Abstract)

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    Lecture 1: The non-linear coupled problem.
    Lecture 2: Stiff Dirichlet-Neumann coupling.
    Lecture 3: Projection based and Robin-Neumann splitting schemes.

    Partitioned solution strategies: example of implementation (master/slave paradigm with PVM);
    Numerical evidence of the added-mass effect (2D exampled using FreeFem++).

    Based semi-implicit scheme (2D example using FreeFem++);
    Explicit Robin-Neumann schemes (2D example using FreeFem++);
    Partitioned implementation using independent fluid and solid solvers (master/slave paradigm with PVM).

  • Alessandro Reali (Abstract)

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    Lecture 1: Motivation and introduction to IGA; basics of B-Splines and NURBS; basic IGA implementation ingredients.
    Lecture 2: IGA applications in structural mechanics and biomechanics.
    Lecture 3: IGA collocation methods.

    CT1: Practical implementation of IGA in a simple 1D Matlab code.
    CT2: Practical implementation of IGA in a simple 2D Matlab code, with some examples and extensions.

  • Alessandro Veneziani (Abstract)

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    Lecture 1: Reduced models for the cardiovascular system: from 3D to lumped parameter models. Implementation ingredients.
    Lecture 2: Geometrical multiscale modeling of the circulatory system.
    Lecture 3: Data assimilation techniques in computational hemodynamics.

    CT1: Numerical solution of 1D models, fundamentals and networks.
    Numerical solution of geometric multiscale models with partitioned methods (3D/1D, 3D/0D);
    An example of data assimilation in 2D: variational estimation of cardiac conductivities.