His main research concerns Basis, Mathematical analysis, Partial differential equation, Galerkin method and Mathematical optimization. His Basis research integrates issues from Parametrization and Interpolation. His study on Numerical analysis is often connected to A priori and a posteriori as part of broader study in Mathematical analysis.
His research in Partial differential equation tackles topics such as Numerical stability which are related to areas like Constrained optimization and Upper and lower bounds. Gianluigi Rozza has included themes like Mechanics, Finite volume method and Incompressible flow in his Galerkin method study. His Mathematical optimization research includes themes of Shape optimization, Fluid–structure interaction, Model order reduction and Applied mathematics.
Gianluigi Rozza mainly investigates Basis, Applied mathematics, Mathematical analysis, Mathematical optimization and Partial differential equation. The study incorporates disciplines such as Basis function, Discretization and Affine transformation in addition to Basis. His research integrates issues of Galerkin method, Nonlinear system, Reduction, Model order reduction and Interpolation in his study of Applied mathematics.
Gianluigi Rozza has researched Mathematical analysis in several fields, including Navier–Stokes equations, Compressibility, Reduced order and Fluid–structure interaction. His work in Mathematical optimization addresses subjects such as Shape optimization, which are connected to disciplines such as Free-form deformation. His biological study spans a wide range of topics, including Numerical analysis and Reduction.
The scientist’s investigation covers issues in Applied mathematics, Basis, Partial differential equation, Algorithm and Galerkin method. His Applied mathematics research integrates issues from Navier–Stokes equations, Finite volume method, Reduction and Nonlinear system. The Navier–Stokes equations study combines topics in areas such as Discretization and Mathematical analysis.
Gianluigi Rozza combines topics linked to Parameterized complexity with his work on Basis. Gianluigi Rozza has researched Partial differential equation in several fields, including Numerical analysis, Model order reduction and Optimal control. His studies deal with areas such as Projection, Saddle point and Turbulence, Turbulence modeling, Reynolds number as well as Galerkin method.
Gianluigi Rozza mainly focuses on Applied mathematics, Interpolation, Projection, Galerkin method and Navier–Stokes equations. His Applied mathematics research includes themes of Computational fluid dynamics, Partial differential equation, Scalar and Reduction. The various areas that Gianluigi Rozza examines in his Interpolation study include Algorithm, Reduction and Dynamic mode decomposition.
He undertakes multidisciplinary studies into Projection and Boundary in his work. His research in Galerkin method intersects with topics in Saddle point, Turbulence, Turbulence modeling, Solver and Finite volume method. His studies in Navier–Stokes equations integrate themes in fields like Basis and Mathematical analysis.
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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations
Gianluigi Rozza;D.B.P. Huynh;Anthony T. Patera.
Archives of Computational Methods in Engineering (2007)
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Jan S. Hesthaven;Gianluigi Rozza;Benjamin Stamm.
A Successive Constraint Linear Optimization Method for Lower Bounds of Parametric Coercivity and Inf-Sup Stability Constants
D.B.P. Huynh;G. Rozza;S. Sen;A.T. Patera.
Comptes Rendus Mathematique (2007)
Certified reduced basis approximation for parametrized partial differential equations and applications
Alfio Quarteroni;Alfio Quarteroni;Gianluigi Rozza;Andrea Manzoni.
Journal of Mathematics in Industry (2011)
On the stability of the reduced basis method for Stokes equations in parametrized domains
Gianluigi Rozza;Karen Veroy.
Computer Methods in Applied Mechanics and Engineering (2007)
Reduced Order Methods for Modeling and Computational Reduction
Alfio Quarteroni;Gianluigi Rozza.
Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
Francesco Ballarin;Andrea Manzoni;Alfio Maria Quarteroni;Alfio Maria Quarteroni;Gianluigi Rozza.
International Journal for Numerical Methods in Engineering (2015)
Model Order Reduction in Fluid Dynamics: Challenges and Perspectives
Toni Mikael Lassila;Andrea Manzoni;Alfio Quarteroni;Gianluigi Rozza.
Workshop on Reduced Basis, POD and Reduced Order Methods for Model and Computational Reduction: towards Real-time Computing and Visualization", u"Workshop on Reduced Basis, POD and Reduced Order Methods for Model and Computational Reduction: towards Real-time Computing and Visualization (2014)
Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers’ equation
Ngoc Cuong Nguyen;Gianluigi Rozza;Anthony T. Patera.
Parametric free-form shape design with PDE models and reduced basis method
Toni Mikael Lassila;Toni Mikael Lassila;Gianluigi Rozza.
Computer Methods in Applied Mechanics and Engineering (2010)
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