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Responsabile Gestionale: Dr.ssa Franca Di Censo


  Eventi di oggi 21 febbraio 2018

  • feb 21 mer 2018

    MOX Seminar
    Alice Raeli, Numerical modelling of elliptic problems on octree-based meshes,  21-02-2018, ore 10:00
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    MOX
    MOX Numeth

    • MOX Seminar
    • Alice Raeli
    • IMAG Institut Montpelliérain Alexander Grothendiec, Montpellier
    • Numerical modelling of elliptic problems on octree-based meshes
    • Mercoledì 21 febbraio 2018 alle ore 10:00
    • Aula Saleri VI Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      We consider problems governed by a linear elliptic equation with varying coefficients across internal interfaces. The gradient of the solution can undergo significant variations through these internal boundaries. We present a compact finite-difference scheme on a tree-based adaptive grid that can be efficiently solved using a natively parallel data structure.Numerical illustrations are presented in two and three-dimensional configurations. Future perspectives will include the use of Hybrid High-Order methods to increase the approximation order.

      Contact: luca.formaggia@polimi.it
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

  • feb 21 mer 2018

    Seminar
    Scott Rodney, Poincaré-sobolev inequalities and the p-laplacian,  21-02-2018, ore 15:15
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    • Seminar
    • Scott Rodney
    • Cape Breton University
    • Poincaré-sobolev inequalities and the p-laplacian
    • Mercoledì 21 febbraio 2018 alle ore 15:15
    • Aula seminari 3° piano
    • Abstract
      It is well known that Poincar\’e-Sobolev inequalities play an important role in applications and in regularity theory for weak solutions of PDEs. In this talk I will discuss two new results connecting matrix weighted Poincar\’e-Sobolev estimates to the existence of regular weak solutions of Dirichlet and Neumann problems for a degenerate $p$-Laplacian:
      \begin{eqnarray}
      \Delta_{Q,p} \varphi(x) = \textrm{Div}\left(\big|Q(x)~\nabla \varphi(x)\big|^{p-2}~Q(x)~\nabla\varphi(x)\right).\nonumber
      \end{eqnarray}
      Degeneracy of $\Delta_{Q,p}$ is given by a measurable non-negative definite matrix-valued function $Q(x)$.
    • 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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