mathLab | Mathematics Area - SISSA

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Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization

Ballarin F, Faggiano E, Ippolito S, Manzoni A, Quarteroni A, Rozza G, Scrofani R. Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization.; 2015. Available from: http://urania.sissa.it/xmlui/handle/1963/34623

Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system

Martini I, Rozza G, Haasdonk B. Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Advances in Computational Mathematics. 2015 ;special issue for MoRePaS 2012(in press).

https://urania.sissa.it/xmlui/handle/1963/34493

Linear Thermo-Viscoelastic Orthotropic Plane Stress Constitutive Law in the Time Domain

Read more about Linear Thermo-Viscoelastic Orthotropic Plane Stress Constitutive Law in the Time Domain

Three-sphere low-Reynolds-number swimmer with a passive elastic arm

Montino A, DeSimone A. Three-sphere low-Reynolds-number swimmer with a passive elastic arm. [Internet]. 2015 . Available from: http://urania.sissa.it/xmlui/handle/1963/34530

MoRePaS 2015 Model Reduction Parametrized Systems

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Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations

Rozza G, Chen P, Quarteroni A. Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations. Numerische Mathematik, (2015), 36 p. Article in Press [Internet]. 2015 . Available from: http://urania.sissa.it/xmlui/handle/1963/34491

Reduced Order Methods for Modeling and Computational Reduction

Quarteroni A, Rozza G. Reduced Order Methods for Modeling and Computational Reduction. 1st ed. Milano: Springer; 2014 p. 334.

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Hesthaven JS, Rozza G, Stamm B. Certified Reduced Basis Methods for Parametrized Partial Differential Equations. 1st ed. Switzerland: Springer; 2015 p. 135.

Topics in computational fluid dynamics

On April 12 and 19, 2016 classes will be given in room A-134.

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Advanced Topics in Numerical Modelling of PDEs: Part I

Part I: "Reduced Basis Methods and a Posteriori Error Bounds for Parametrized Partial Differential Equations", March 15-17, 2016, Lecturer Prof. Gianluigi Rozza, Tutorials Dr. Francesco Ballarin

Learning outcomes/Objectives:

The course aims to provide the basic aspects of numerical approximation and efficient solution of parametrized; PDEs for computational mechanics problem (heat and mass transfer, linear elasticity, viscous and potential flows) using reduced order methods.

Module Description:

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