mathLab

FEM SUPG stabilisation of mixed isoparametric BEMs: application to linearised free surface flows

Giuliani N, Mola A, Heltai L, Formaggia L. FEM SUPG stabilisation of mixed isoparametric BEMs: application to linearised free surface flows. Engineering Analysis with Boundary Elements 59 (2015), pp. 8-22 [Internet]. 2015 . Available from: http://urania.sissa.it/xmlui/handle/1963/34466

The deal.II Library, Version 8.2

Bangerth W, Heister T, Heltai L, Kanschat G, Kronbichler M, Maier M, Turcksin B, Young TD. The deal.II Library, Version 8.2. Archive of Numerical Software, vol. 3, n. 100, (2015), pages : 1-8 [Internet]. 2015 . Available from: http://urania.sissa.it/xmlui/handle/1963/34464

Benchmarking the Immersed Finite Element Method for Fluid-Structure Interaction Problems

Saswati R, Heltai L, Costanzo F. Benchmarking the Immersed Finite Element Method for Fluid-Structure Interaction Problems. Computers and Mathematics with Applications 69 (2015) 1167–1188. 2015 .

Reduced basis methods in industrial challenges

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Optimization-based coupling of local and nonlocal models

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Mechanics of Polymer Gels

This course deals with the basic physics and models of polymer gels, focusing on swelling phenomena. First, we will establish a non-linear continuum model that couples solvent diffusion and polymer network elasticity, able to describe large deformations in polymer gels. Then, several solutions of the model will be discussed, including examples of swelling-induced instabilities. In the final part of the course, we will present the numerical implementation of the model. Hands-on projects will be developed by the students as a final assignment.

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Discrete one-dimensional crawlers on viscous substrates: achievable net displacements and their energy cost

Noselli G, Tatone A, DeSimone A. Discrete one-dimensional crawlers on viscous substrates: achievable net displacements and their energy cost. [Internet]. 2014 . Available from: http://urania.sissa.it/xmlui/handle/1963/34449

Crawlers in viscous environments: linear vs nonlinear rheology

DeSimone A, Guarnieri F, Noselli G, Tatone A. Crawlers in viscous environments: linear vs nonlinear rheology. International Journal of Non-Linear Mechanics 56, 142-147 (2013). 2013 .

A robotic crawler exploiting directional frictional interactions: experiments, numerics, and derivation of a reduced model

Noselli G, DeSimone A. A robotic crawler exploiting directional frictional interactions: experiments, numerics, and derivation of a reduced model. Proceedings of the Royal Society A 470, 20140333 (2014). 2014 .

Fundamentals of Reduced Basis Method for problems governed by parametrized PDEs and applications

Rozza G. Fundamentals of Reduced Basis Method for problems governed by parametrized PDEs and applications. In: Separated representations and PGD-based model reduction : fundamentals and applications. Vol. 554. Separated representations and PGD-based model reduction : fundamentals and applications. Wien: Springer; 2014.

Mathematics