Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo
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### PRIVACY E SICUREZZA

• Normativa di Ateneo
• Piano d’Emergenza Locale

Per comunicazioni o chiarimenti contattare: Salute e Sicurezza dip. Matematica

### 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

• 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

• 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