Homepage of Lorenzo Tamellini

I am currently a researcher at CNR-IMATI Pavia . Previously, I was a postdoc at the Department of Mathematics of Pavia University with prof. Giancarlo Sangalli , and at EPFL (Lausanne) with prof. Fabio Nobile (MATHICSE-CSQI group). Fabio Nobile was also my PhD advisor at Politecnico di Milano (MOX lab, Department of Mathematics). You can find more details on my full CV here (last update January 4, 2019).

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Research Interests

  • Isogeometric Analysis (IGA): Approximation properties of splines/NURBS spaces; Collocation methods; Multipatch/trimmed volumes.
  • Uncertainty Quantification (UQ): Polynomial methods for forward and inverse high-dimensional uncertainty quantification problems for random PDEs; Optimized stochastic Galerkin and sparse grids Collocation methods; Proper Generalized Decomposition method; Bayesian update and maximum likelyhood methods; Global sensitivity analysis.
  • Computational Fluid Dynamics and Geophysics: numerical methods for Darcy and Navier-Stokes flows and for the geochemical compaction problem.

What am I currently working on

Short notes on the projects I am currently involved in

Sparse Grids Stochastic Collocation and MISC

Sparse grids Stochastic Collocation is a UQ methodology for solving PDEs with random coefficient, that requires to solve a set of un-coupled PDEs, for carefully selected values of the random coefficients. Building on sparse grids and multi-level methods, Multi-Index Stochastic Collocation (MISC) aims at simultaneously optimizing the computational grids with respect to the physical and the random variables.

Geochemical Compaction

In this work we consider the process with which sand on the bottom of the ocean gradually becomes rock, due to mechanical pressure and chemical reactions. We analyze the forward propagation of uncertainty through the model equations, perform sensitivity analysis and solve inverse problems with a Maximum Likelihood approach.

Isogeometric Analysis (IGA)

Collocation and sparse approaches for improving the performance of IGA methods.

Next travels

  • 22 January 2019 CNR-DIITET conference, Rome
  • 25 February - 1 March 2019 SIAM CSE conference, Spokane
  • 4-8 March 2019 SFU, Vancouver, visiting the group of prof. B. Adcock
  • 11-14 March 2019 SIAM GS conference, Houston
  • 18-22 March 2019 CU Boulder, visiting the groups of prof. A. Doostan and J. Evans
  • 26-28 March 2019 Uncertainty quantification for nonlinear problems and applications in porous media, Finse
  • 1-15 May 2019 RTWH Aachen, visiting the group of prof. R. Tempone
  • 15-19 July 2019 ICIAM, Valencia
  • 11-13 September 2019 FRONTUQ-19, Pisa
  • 18-20 September 2019 IGA 2019, Munich

Papers, software, teaching material

See the links below

Papers

Preprints

Official versions

You can find links to the official versions of my papers e.g. on my

Software

I develop and maintain the Sparse Grids Matlab kit, a Matlab library for quadrature and interpolation on sparse grids. It provides collocation points on bounded intervals (Gauss-Legendre, Clenshas-Curtis, Leja) and on the real line (Gauss-Hermite, Genz-Keister, Weighted-Leja), and can use Lagrange, Legendre, Chebyshev, Hermite polynomials. The current version is the 18-10 "Esperanza". You can find more information and download the Sparse Grids Matlab kit from the dedicated website https://sites.google.com/view/sparse-grids-kit.

Teaching Material

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