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Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo


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Prossimi Eventi

  • gen 23 mer 2019

    Convegno
    Escape 2
    23/01/2019
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    • CONVEGNO
    • Escape 2
    • organizzatori
      Tommaso Benacchio – Luca Bonaventura
    • Workshop on fault tolerant algorithms and resilient approaches for exascale computing
    • Mercoledì 23 gennaio 2019 – Mercoledì 23 gennaio 2019
      Dipartimento di Matematica – Politecnico di Milano – Sala Consiglio – 7° piano
    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • gen 23 mer 2019

    MOX Seminar Series
    Luc Giraud, Dealing with unreliable computing platforms at extreme scale,  23-01-2019, ore 14:00
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    MOX
    MOX Fluids
    MOX HPC

    • MOX Seminar Series
    • Luc Giraud
    • INRIA (Inria Bordeaux – Sud-Ouest)
    • Dealing with unreliable computing platforms at extreme scale
    • Mercoledì 23 gennaio 2019 alle ore 14:00
    • Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      The advent of extreme scale computing platforms will require the use of parallel resources at an unprecedented scale. On the technological side, the continuous shrinking of transistor geometry and the increasing complexity of these devices affect dramatically their sensitivity to natural radiation leading to a high rate of hardware faults, and thus diminish their reliability. Handling fully these faults at the computer system level may have a prohibitive computational and energetic cost. High performance computing applications that aim at exploiting all these resources will thus need to be resilient. In this talk, we will first give an overview of the current trends towards exascale. We will discuss the new challenges to face in terms of platform reliability and associated variety of possible faults. We will then discuss some of the solutions that have been proposed to tackle these errors before discussing in more details some contributions in sparse numerical linear algebra. First, in the context of computing node crashes, we will discuss possible remedies in the framework of linear system or eigenproblem solutions, that are the inner most numerical kernels in many scientific and engineering applications and also ones of the most time consuming parts. Second, we will discuss a somehow more challenging problem related to silent transient soft-errors produced by natural radiation and consisting in a bit-flip in a memory cell producing unexpected results at the application level. In that context we will consider the conjugate gradient (CG) method that is the most widely used iterative scheme for the solution of large sparse systems of linear equations when the matrix is symmetric positive definite. We will investigate through extensive numerical experiments the sensitivity of of CG to bit-flips and further discuss possible numerical criteria to detect the occurrence of such faults.
      The above mentioned research activities have been conducted in collaboration with many colleagues including E. Agullo (Inria), S. Cools (University of Antwerpen), E. Fatih-Yetkin (Kadir Has University), P. Salas (CERFACS), W. Vanroose (University of Antwerpen) and M. Zounon (NAG).

      contact: luca.bonaventura@polimi.it
    • Luc Giraud
      Luc Giraud got his PhD from the Institut National Polytechnique de Toulouse in 1991, he then joint CERFACS as a post-doc, then senior researcher and deputy project leader. In 2005, he left for a full professor position in applied mathematics in the engineer School ENSEEIHT. He joint Inria in 2009 where he leads the Inria project team HiePACS that works on the design of scalable numerical techniques for emerging parallel computers. His main research interests are in numerical linear algebra with applications in various engineering domains.
      He currently serves on the editorial board of SIAM SISC and SIMAX.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

  • gen 31 gio 2019

    MOX Seminar Series
    Francisco José Gaspar Lorenz, Poroelasticity: discretizations and fast solvers based on geometric multigrid methods,  31-01-2019, ore 14:00
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    MOX
    MOX Numeth

    • MOX Seminar Series
    • Francisco José Gaspar Lorenz
    • Department of Applied Mathematics -Zaragoza University – Spain
    • Poroelasticity: discretizations and fast solvers based on geometric multigrid methods
    • Giovedì 31 gennaio 2019 alle ore 14:00
    • Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      The theory of poroelasticity models the interaction between the deformation and the fluid flow in a fluid-saturated porous medium. Poroelastic models are widely used nowadays in the modeling of many applications in different fields, ranging from geomechanics and petroleum engineer, to biomechanics. The poroelastic equations are often solved in a two-field formulation, where the unknowns are the displacement and the pressure, or in a three-field formulation where the velocity of the fluid is included as a primary variable as well. The numerical solution of these models is usually based on finite element methods. In this talk, we will study some stabilized finite element discretizations for both formulations of the poroelastic problem. Moreover, an important aspect in the numerical simulation of these problems is the efficient solution of the large systems of algebraic equations obtained after discretization. The resulting systems are of saddle point type and we will address their efficient solution by designing suitable geometric multigrid methods.

      Contact: luca.formaggia@polimi.it
    • Francisco José Gaspar Lorenz
      Francisco José Gaspar Lorenz is an associate professor of the Department of Applied Mathematics at the University of Zaragoza, Spain. He received in 2016 a Marie Curie Individual Fellowship, funded from the Horizon 2020 programme. His interests include iterative solution methods, multigrid methods and flow in deformable porous media problems
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

  • feb 14 gio 2019

    MOX Seminar Series
    Javier Bonet, Application of polyconvexity and multivariable convexity of energy potentials in nonlinear solid mechanics,  14-02-2019, ore 14:00
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    MOX
    MOX Numeth

    • MOX Seminar Series
    • Javier Bonet
    • University of Greenwich
    • Application of polyconvexity and multivariable convexity of energy potentials in nonlinear solid mechanics
    • Giovedì 14 febbraio 2019 alle ore 14:00
    • Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      The presentation will review recent advances in the area of designing and using polyconvex energy potentials to describe the behaviour of solids in the large strain regime in the presence of several physical phenomena such as thermal or electro-mechanical effects. The need for convexity will be justified from the viewpoint of ensuring the existence of real wave speeds in the material at any state of deformation. The convexity of energy potentials with respect to an extended set of variables describing deformation and other multi-physics effects enables the definition of conjugate stresses, thermal and electro-mechanical variables and the formulation of complementary energy functions via the application of the Legendre transforms. In the static case, this leads to the development of a variety of Hu-Washizu or Hellinger-Reissner mixed variation principles that permit the discretisation of different fields with specifically chosen order of accuracy. For instance, in the case of nearly and fully incompressible materials, discretisations that either meet the LBB condition or are appropriately stabilised can be constructed. In the dynamic case, first order conservation laws can be derived for each of the extended set of variables in the energy function. Moreover, convexity enables the definition of a convex entropy-like functional of the primary conserved variables, leading to a symmetrisation of the conservation laws in terms of conjugate stress-like variables and a robust implementation of a Petrov-Galerkin discretisation process. This can be done in a variety of ways, for instance in the case of thermoelasticity two approaches will be discussed, namely, using the Hamiltonian as “entropy-like” convex function or, alternatively, using the so-called “ballistic free energy” as convex entropy extension. Several examples demonstrating the theoretical developments will be provided.


      contact: luca.formaggia@polimi.it
    • Javier Bonet
      Professor Javier Bonet is the Deputy Vice-Chancellor, Research & Enterprise, at the University of Greenwich. He leads all aspects of Greenwich’s research and enterprise activities, building on its existing success, as well as contributing to the strategic leadership of the institution. Previously Director of the Welsh government’s Sêr Cymru National Research Network in Advanced Engineering and Materials, Javier Bonet was also Professor of Computational Engineering and Head of the College of Engineering at Swansea University. With a background in civil engineering, he graduated from the Polytechnic University of Catalonia in Barcelona, Spain, before coming to the UK to study for a PhD in computational mechanics at Swansea University. Since then he has established a strong reputation as a researcher in areas such as large strain solid mechanics, smooth particle hydrodynamics, error estimation and more recently the use of conservation laws in solid dynamics. He has published over 100 academic papers and co- authored a book on Nonlinear Continuum Mechanics for Finite Element Analysis, widely used as a graduate textbook across the world.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

  • feb 18 lun 2019

    Convegno
    An afternoon in nonlinear differential equations
    18/02/2019
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    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • feb 21 gio 2019

    Convegno
    Pv-mi 2019 – decima giornata di studio – equazioni differenziali e calcolo delle variazioni
    21/02/2019
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    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

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