Head of Dept: Prof. Giulio Magli
Vice-Head of Dept: Prof. Gabriele Grillo
Chief operating officer: Dr.ssa Franca Di Censo
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### Upcoming Events

•  feb 19 mon 2018 MOX Seminar Thomas Richter, Elastic contact in fluid-structure interactions,  02-19-2018, 14:00

• MOX Seminar
• Thomas Richter
• Universität Magdeburg
• Elastic contact in fluid-structure interactions
• Monday, 19 February 2018 at 14:00
• Aula Saleri VI Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
In this talk we address the following fundamental question: what happens if an elastic ball is falling in a container with a viscous fluid towards a rigid wall on the bottom? Will it come to contact? Or will there always remain a thin fluid film between wall and bottom? Will the ball bounce off? Or will the ball come to rest and stick? We start by giving an overview on various results on this topic, computationally, analytically and experimentally. Then in a second part we numerically investigate this challenging problem.

The possible contact between ball and boundary is a fundamental difficulty for established discretization schemes as it involves topology changes in the domain. For describing the interaction problem between elastic solid and fluid we shortly introduce the ALE approach and discuss its shortcomings in terms of modeling contact. Then, we introduce an alternative Eulerian approach that is well suited for contact problems. This Eulerian approach however brings along new difficulties with respect to discretization.

Contact: christian.vergara@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 wed 2018 MOX Seminar Alice Raeli, Numerical modelling of elliptic problems on octree-based meshes,  02-21-2018, 10:00

• MOX Seminar
• Alice Raeli
• IMAG Institut Montpelliérain Alexander Grothendiec, Montpellier
• Numerical modelling of elliptic problems on octree-based meshes
• Wednesday, 21 February 2018 at 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 wed 2018 Seminar Scott Rodney, Poincaré-sobolev inequalities and the p-laplacian,  02-21-2018, 15:15

• Seminar
• Scott Rodney
• Cape Breton University
• Poincaré-sobolev inequalities and the p-laplacian
• Wednesday, 21 February 2018 at 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

•  feb 22 thu 2018 MOX Seminar Series Rolf Krause, Models, simulation, uncertainty, and medicine – numerical methods in computational biomechanics and cardiology,  02-22-2018, 14:00

• MOX Seminar Series
• Rolf Krause
• Center for Computational Medicine in Cardiology, Università della Svizzera italiana,
• Models, simulation, uncertainty, and medicine – numerical methods in computational biomechanics and cardiology
• Thursday, 22 February 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
The numerical simulation of physiological and biomechanics processes allows for a better understanding of many internal mechanism of the human body. For example stresses in joints or the activation sequence of the human heart can be computed “in silico”, thus providing the possibility to develop new therapies or to assist physician in diagnosis and therapy. In order to get close to realistic medical applications, or even to a clinical setting, several difficulties have to be addressed. These contain the efficient simulation of coupled and non-linear partial differential equations, the choice of the appropriate models, and, last but not least, the personalization of the simulation by means of, e.g., parameter fitting or uncertainty quantification. In this talk, we give an overview in numerical techniques in biomechanics and cardiology, including contact problems, the electro-mechanical activation of the human heart, and fluid-structure interaction in heart valves.

Contact: christian.vergara@polimi.it
• Rolf Krause has has studied Mathematics in Berlin and did his PhD in Stuttgart and Berlin. In 2003, he became Professor for Scientific Computing at the University of Bonn and moved in 2009 to USI in Lugano as founding director of the ICS, the Institute of Computational Science of USI. He is working in the areas finite element methods, non-linear domain decomposition and multigrid methods, and parallel in time methods, with applications in geo-mechanics, cardiac and biomechanics.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  feb 23 fri 2018 Seminar Alessandra Lunardi, Sobolev and bv functions in infinite dimension,  02-23-2018, 10:30 precise

• Seminar
• Alessandra Lunardi
• Università di Parma
• Sobolev and bv functions in infinite dimension
• Friday, 23 February 2018 at 10:30 right
• Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9
• Abstract
In Hilbert or Banach spaces $X$ endowed with a good probability measure $\mu$ there are a few “natural” definitions of Sobolev spaces and of spaces of bounded variation functions. The available theory deals mainly with Gaussian measures and Sobolev and BV functions defined in the whole $X$, while the study and Sobolev and BV spaces in domains, and/or with respect to non Gaussian measures, is largely to be developed.
As in finite dimension, Sobolev and BV functions are tools for the study of different problems, in particular for PDEs with infinitely many variables, arising in mathematical physics in the modeling of systems with an
infinite number of degrees of freedom, and in stochastic PDEs through Kolmogorov equations.
In this talk I will describe some of the main features and open problems concerning such function spaces.

• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  feb 28 wed 2018 Seminar Irena Lasiecka, How to eliminate\control flutter arising in flow structure interactions,  02-28-2018, 16:30

•  mar 01 thu 2018 MOX Seminar Series Ulisse Stefanelli, Graphene from molecular mechanics,  03-01-2018, 14:00

• MOX Seminar Series
• Ulisse Stefanelli
• Faculty of Mathematics, University of Vienna, and CNR Pavia
• Graphene from molecular mechanics
• Thursday, 1 March 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
I will review recent results on the analysis of graphene via variational methods. The setting is that of Molecular Mechanics: carbon atoms are identified with their nuclear positions and their bonds are described via classical two- and three-body interactions. I will discuss the crystallization problem in both two and three dimensions, the mechanics of the (planar) crystal under tension, the rolling-up of free graphene patches, and the emergence of ripples in suspended samples.

Contact: francesco.bonaldi@polimi.it
• Ulisse Stefanelli received his PhD from the University of Pavia in 2003. He has been working at the Institute for Applied Mathematics and Information Technology ‘E. Magenes’ of the CNR since 2001. Since 2013 he holds the chair in ‘Applied Mathematics and Modeling’ at the University of Vienna. His activity focuses on calculus of variations and PDEs, especially in application to Material Science.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  mar 08 thu 2018 Seminar Delaram Kahrobaei, Post-quantum group-based cryptography,  03-08-2018, 14:30 precise

• Seminar
• Delaram Kahrobaei
• New York City College of Technology
• Post-quantum group-based cryptography
• Thursday, 8 March 2018 at 14:30 right
• Aula seminari, III piano, Dipartimento di matematica
• Abstract
The National Security Agency (NSA) in August 2015 announced plans to transition to post-quantum algorithms “Currently, Suite B cryptographic algorithms are specified by the National Institute of Standards and Technology (NIST) and are used by NSA’s Information Assurance Directorate in solutions approved for protecting classified and unclassified National Security Systems (NSS). Below, we announce preliminary plans for transitioning to quantum resistant algorithms.”

Shortly after the National Institute of Standardization and Technology (NIST) announced a call to select standards for post-quantum public-key cryptosystems.

The academic and industrial communities have suggested as the quantum-resistant primitives: Lattice-based, Multivariate, Code-based, Hash-based, Isogeny-based and group-based primitives.

In this talk I will focus on some ideas of (semi)group-based primitives. The one which was proposed to NIST is by SecureRF company based in Connecticut, among its founders there is a number theorist (Goldfeld) and two group theorists (Anshel and Anshel). They proposed a digital signature using a hard algorithmic problem in Braid groups, namely conjugacy problem.

I will then give a survey of some other suggested group-based cryptosystems that could be claimed as post-quantum cryptosystems.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  mar 21 wed 2018 Seminar Fabio Pammolli, Crescita, instabilità e asimmetrie nei sistemi economici,  03-21-2018, 12:15

• Seminar
• Fabio Pammolli
• Politecnico di Milano
• Crescita, instabilità e asimmetrie nei sistemi economici
• Wednesday, 21 March 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  mar 28 wed 2018 Seminar Damian Evans, The spatial organisation of early southeast asian landscapes: new perspectives from lidar,  03-28-2018, 12:15

• Seminar
• Damian Evans
• École française d’Extrême-Orient
• The spatial organisation of early southeast asian landscapes: new perspectives from lidar
• Wednesday, 28 March 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  apr 11 wed 2018 Seminar Matteo Bedini, Cosa possono insegnarci i bitcoin?,  04-11-2018, 12:15

• Seminar
• Matteo Bedini
• Numerix
• Cosa possono insegnarci i bitcoin?
• Wednesday, 11 April 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  apr 12 thu 2018 MOX Seminar Series Daniele Boffi, Mixed finite elements and adaptive schemes for eigenvalue problems,  04-12-2018, 14:00

• MOX Seminar Series
• Daniele Boffi
• Dipartimento di Matematica “F. Casorati”, Università di Pavia
• Mixed finite elements and adaptive schemes for eigenvalue problems
• Thursday, 12 April 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
We review a posteriori error analysis and adaptive schemes for the approximation of eigenvalue problems arising from partial differential equations. Our ultimate goal is the design of adaptive schemes for the approximation of the eigenmodes associated with Maxwell’s equations. It is well known that the Maxwell eigenvalue problem can be analyzed with the help of suitable mixed formulations. Taking advantage of this remark, we can prove the convergence with optimal rate for the edge finite element approximation of the Maxwell eigenvalue problem. In
three dimensions, the result is not a trivial extension of the analysis previously performed for the approximation of the Laplace eigenproblem in mixed form. Particular attention is paid to the case of multiple eigenvalues and clusters of eigenvalues.

Contact: christian.vergara@polimi.it

• Daniele Boffi is professor of Numerical Analysis at the University of Pavia. His research focuses on the finite element discretization of partial differential equation with particular emphasis on mixed finite
elements. In particular, he is working on computational fluid dynamics, computational electromagnetism, and fluid-structure interactions. He is Director of the Doctoral School of the University of Pavia.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  apr 18 wed 2018 Seminar Paolo Dulio, Ricostruire l’invisibile…fantasmi permettendo,  04-18-2018, 12:15

• Seminar
• Paolo Dulio
• Politecnico di Milano
• Ricostruire l’invisibile…fantasmi permettendo
• Wednesday, 18 April 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  apr 26 thu 2018 MOX Seminar Series Patrick Farrell, Computing disconnected bifurcation diagrams of partial differential equations,  04-26-2018, 14:00

• MOX Seminar Series
• Patrick Farrell
• Mathematical Institute, Oxford
• Computing disconnected bifurcation diagrams of partial differential equations
• Thursday, 26 April 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
Computing the distinct solutions $u$ of an equation $f(u, \lambda) = 0$ as a parameter $\lambda \in \mathbb{R}$ is varied is a central task in applied mathematics and engineering. The solutions are captured in a bifurcation diagram, plotting (some functional of) $u$ as a function of $\lambda$. In this talk I will present a new algorithm, deflated continuation, for this task. Deflated continuation has three advantages. First, it is capable of computing disconnected bifurcation diagrams; previous algorithms only aimed to compute that part of the bifurcation diagram continuously connected to the initial data.
Second, its implementation is extremely simple: it only requires a minor modification to any existing Newton-based solver. Third, it can scale to very large discretisations if a good preconditioner is available. Among other problems, we will apply this to a famous singularly perturbed ODE, Carrier’s problem. The computations reveal a striking and beautiful bifurcation diagram, with an infinite sequence of alternating pitchfork and fold bifurcations as the singular perturbation parameter tends to zero. The analysis yields a novel and complete taxonomy of the solutions to the problem. We will also apply it to discover previously unknown solutions to equations arising in liquid crystals and quantum mechanics.

Contact: pasquale.ciarletta@polimi.it
• I am an Associate Professor of Numerical Analysis and Scientific Computing and EPSRC Early Career Research Fellow in the Numerical Analysis group of the University of Oxford, and a Tutorial Fellow at Oriel College, Oxford. I work on the numerical solution of partial differential equations, with a particular focus on bifurcation analysis of nonlinear equations, the automated derivation and application of adjoint models, and the interaction between computational geometry and numerical simulation. I apply the numerical techniques I develop to various applications, including tidal turbines for renewable energy, bidomain cardiac electrophysiology, radiation transport, and glaciology. I mainly code in Python, contribute regularly to the FEniCS and PETSc software projects, and lead the development of dolfin-adjoint.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  may 09 wed 2018 Seminar Viola Schiaffonati, Computer, simulazioni ed esperimenti: all’alba di un nuovo metodo sperimentale?,  05-09-2018, 12:15

• Seminar
• Viola Schiaffonati
• Politecnico di Milano
• Computer, simulazioni ed esperimenti: all’alba di un nuovo metodo sperimentale?
• Wednesday, 9 May 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  may 16 wed 2018 Seminar Maria Laura Costantino, Modellazione paziente specifica in emodialisi,  05-16-2018, 12:15

• Seminar
• Maria Laura Costantino
• Politecnico di Milano
• Modellazione paziente specifica in emodialisi
• Wednesday, 16 May 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  may 23 wed 2018 Seminar Luca Perri, La scoperta del secolo – perché le onde gravitazionali valgono un nobel,  05-23-2018, 12:15

• Seminar
• Luca Perri
• L’Officina del Planetario
• La scoperta del secolo – perché le onde gravitazionali valgono un nobel
• Wednesday, 23 May 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  may 30 wed 2018 Seminar Corinna Rossi, La geometria delle piramidi egizie,  05-30-2018, 12:15

• Seminar
• Corinna Rossi
• Politecnico di Milano
• La geometria delle piramidi egizie
• Wednesday, 30 May 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  jun 06 wed 2018 Seminar Marco Bersanelli, Missione planck, l’immagine dell’universo neonato,  06-06-2018, 12:15

• Seminar
• Marco Bersanelli
• Università degli Studi di Milano
• Missione planck, l’immagine dell’universo neonato
• Wednesday, 6 June 2018 at 12:15
• Politecnico di Milano Campus Bonardi Edificio14 aula B21
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  jun 18 mon 2018 MOX Seminar Series Steve Marron, Joint and individual variation explained,  06-18-2018, 14:00

• MOX Seminar Series
• Steve Marron
• Department of Statistics and O.R., University of North Carolina
• Joint and individual variation explained
• Monday, 18 June 2018 at 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
A major challenge in the age of Big Data is the integration of disparate data types into a data analysis. That is tackled here in the context of data blocks measured on a common set of experimental subjects. This data structure motivates the simultaneous exploration of the joint and individual variation within each data block. This is done here in a way that scales well to large data sets (with blocks of wildly disparate size), using principal angle analysis, careful formulation of the underlying linear algebra, and differing outputs depending on the analytical goals. Ideas are illustrated using mortality, cancer and neuroimaging data sets.

Contact: piercesare.secchi@polimi.it
• Dr.James Stephen Marron is the Amos Hawley Distinguished Professor in UNC’s Department of Statistics and Operations Research as well as a professor in the Department of Biostatistics at the UNC Gillings School of Global Public Health. Dr. Marron is widely recognized as a world research leader in the statistical disciplines of high dimensional, functional and object oriented data analysis, as well as data visualization. He has made broad major contributions ranging from the invention of innovative new statistical methods, through software development and on to statistical and mathematical theory.
His research continues with a number of ongoing deep, interdisciplinary research collaborations with colleagues in Computer Science, Genetics, Medicine, Mathematics and Biology. A special strength is his strong record of mentoring graduate students, postdocs and junior faculty, in both statistics and also related disciplinary fields.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568