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    Picture of Alberto Sartori
    Welcome!
    by Alberto Sartori - Friday, 16 September 2016, 11:18 AM
     

    Dear new students, 

    the coordinator and all the scientific council is pleased to welcome you to the third edition of the Master in High Performance Computing.

    The lectures will start on September 19 2016 at 9:30 at the old SISSA building, via Beirut 2 in the MHPC Room.

    Please remember to bring your ...

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    This course gives an introduction to the vast area of scientific data management and big data analytics.

     

    Room:         SISSA Miramare Building - Room D

    Start Date:  15 February 2016

    Duration:    5 consecutive days, from 9 am to 5 pm 

    15-16-17-18-19 February 2016


    Room:         SISSA Miramare Building - Room D

    Start Date:  29 February 2016

    Duration:    5 consecutive days, from 9.30am to 5pm  

    29 February 2016
    1-2-3-4 March 2016

    Room:         SISSA Miramare Building - Room D

    Start Date:  11 March 2015

    Duration:    5 consecutive days 

    7-8-10-11 March 2016 from 9.30 am to 5pm

    9 March 2016 from 2pm to 5pm

    Mathematics Area, Mathematical Analysis, Modelling and Applications,
    Course on Advanced Topic in Numerical Modelling PDEs


    Part I: Reduced Basis Methods for Computational Mechanics, 15-17 March 2016, SISSA Room D, campus Miramare (Strada Costiera)

    Lecturer Prof. Gianluigi Rozza, Tutorials coordinated by Dr Francesco Ballarin and Dr Alberto Sartori
    Learning outcomes/Objectives:
    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.
    Module Description:
    In this course we present reduced basis (RB) approximation and associated a posteriori error estimation for rapid and reliable solution of parametrized partial differential equations (PDEs). The focus is on rapidly convergent Galerkin approximations on a subspace spanned by ``snapshots''; rigorous and sharp a posteriori error estimators for the outputs/quantities of interest; efficient selection of quasi-optimal samples in general parameter domains; and Offline-Online computational procedures for rapid calculation in the many-query and real-time contexts. We develop the RB methodology for a wide range of (coercive and non-coercive) elliptic and parabolic PDEs with several examples drawn from heat transfer, elasticity and fracture, acoustics, and fluid dynamics. We introduce the concept of affine and non-affine parametric dependence, some elements of approximation and algebraic
    stability. Finally, we consider application of RB techniques to parameter estimation, optimization, optimal control, and a comparison with other reduced order techniques, like Proper Orthogonal Decomposition.  

    Lecture notes, slides and reading material is provided during the classes.

    Lectures will cover the material in the book : J. Hesthaven, G. Rozza, B. Stamm 'Certified reduced basis methods and a posteriori error bounds for parametrized PDEs', Springer 2015.

    Link to educational software: http://mathlab.sissa.it/rbnics 

    More info: http://www.math.sissa.it/course/phd-course-master-course/advanced-topics-numerical-modelling-pdes-part-i-and-part-ii

    Topics/Syllabus
    -Introduction to RB methods, offline-online computing, elliptic coercive affine problems
    -Sampling, greedy algorithm, POD
    -A posteriori error bounds
    -Primal-Dual Approximation
    -Time dependent problems: POD-greedy sampling
    -Non-coercive problems
    -Approximation of coercivity and inf-sup parametrized constants
    -Geometrical parametrization
    -Reference worked problems
    -Examples of Applications in CFD
    -Tutorials

    Schedule
    Tuesday,  March 15, 2016: lectures 9:30-13:00, tutorials 14:30-16:15
    Wednesday, March 16, 2016: lectures 9:30-13:00, tutorials 14:30-16:00 and 16:30 - 18:00
    Thursday, March 17, 2016: lectures 9:30-13:00, tutorials 14:30-16:15

    Tutorials are prepared for the course based on FEniCS and Python within the new educational library RBniCS (open Source). 

    Room:         SISSA Miramare Building - Room D

    Start Date:  30 March 2016

    Duration:   3 days , from 9.30 am to 5pm

    Introduction to the Finite Volume method and discontinuous Galerkin methods.

    Room:         SISSA Miramare Building - Room D

    Start Date:  4 April 2016

    Duration:    3 consecutive days, from 9am to 5pm  

    4-5-6 April 2016

    Room:         SISSA Miramare Building - Room D

    Start Date:  11 April 2016

    Duration:    5 consecutive days, from 9.30 am to 5pm  

    11-12-13-14-15 April 2016

    Room:         SISSA Miramare Building - Room D

    Start Date:  19 April 2016

    Duration:    4 consecutive days, from 9am to 5pm  

    19-20-21-22 April 2016

    Room:         SISSA Miramare Building - Room D

    Start Date:  27 April 2016

    Duration:    3 consecutive days, from 9.30am to 5pm  

    27-28-29 April 2015

    Room:         SISSA Miramare Building - Room D

    Start Date:  2 May 2016

    Duration:    4 day

    2-5-9 May 2016 9.30am 17:00pm
    10 May 2016 11.15am 18:00pm