10.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto Nazionale di Fisica Nucleare, Sezione di PaviaIT2.8k papers
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- The Ohio State UniversityUS2k papers
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- National and Kapodistrian University of AthensGR2k papers
- Centre National de la Recherche ScientifiqueFR2k papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR1.9k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT1.9k papers
- Sapienza University of RomeIT1.9k papers
- University of PisaIT1.9k papers
- University of BolognaIT1.9k papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT1.8k papers
14 papers · 2 filters
The MINI mixed finite element for the Stokes problem: An experimental investigation
Andrea Cioncolini, Daniele Boffi
Super-convergence of order 1.5 in pressure and velocity has been experimentally investigated for the two-dimensional Stokes problem discretised with the MINI mixed finite element.…
The - and -versions of the virtual element method for elliptic eigenvalue problems
O. Certik, F. Gardini, G. Manzini +2
We discuss the - and the -versions of the virtual element method for the approximation of eigenpairs of elliptic operators with a potential term on polygonal meshes. An appl…
A posteriori error analysis for the mixed Laplace eigenvalue problem
Fleurianne Bertrand, Daniele Boffi, Rolf Stenberg
This paper derives a posteriori error estimates for the mixed numerical approximation of the Laplace eigenvalue problem with homogeneous Dirichlet boundary conditions. In particula…
Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains
Fabrizio Garotta, Nicola Demo, Marco Tezzele +3
In this contribution, we coupled the isogeometric analysis to a reduced order modelling technique in order to provide a computationally efficient solution in parametric domains. In…
High order VEM on curved domains
Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
We deal with the virtual element method (VEM) for solving the Poisson equation on a domain with curved boundaries. Given a polygonal approximation of the domain , the…
Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes
Massimo Carraturo, Carlotta Giannelli, Alessandro Reali +1
In the present work we introduce a complete set of algorithms to efficiently perform adaptive refinement and coarsening by exploiting truncated hierarchical B-splines (THB-splines)…
Stabilised hybrid discontinuous Galerkin methods for the Stokes problem with non-standard boundary conditions
Gabriel R. Barrenechea, Michał Bosy, Victorita Dolean
In several studies it has been observed that, when using stabilised elements for both velocity and pressure, the error for the pressure is sm…
Space-time least-squares isogeometric method and efficient solver for parabolic problems
Monica Montardini, Matteo Negri, Giancarlo Sangalli +1
In this paper, we propose a space-time least-squares isogeometric method to solve parabolic evolution problems, well suited for high-degree smooth splines in the space-time domain.…
Sum-factorization techniques in Isogeometric Analysis
A. Bressan, S. Takacs
The fast assembling of stiffness and mass matrices is a key issue in isogeometric analysis, particularly if the spline degree is increased. We present two algorithms based on the i…
Skeleton-stabilized ImmersoGeometric Analysis for incompressible viscous flow problems
Tuong Hoang, Clemens V. Verhoosel, Chao-Zhong Qin +3
A Skeleton-stabilized ImmersoGeometric Analysis technique is proposed for incompressible viscous flow problems with moderate Reynolds number. The proposed formulation fits within t…
Can coercive formulations lead to fast and accurate solution of the Helmholtz equation?
Ganesh C. Diwan, Andrea Moiola, Euan A. Spence
A new, coercive formulation of the Helmholtz equation was introduced in [Moiola, Spence, SIAM Rev. 2014]. In this paper we investigate -version Galerkin discretisations of this…
A family of three-dimensional virtual elements with applications to magnetostatic
L. Beirão da Veiga, F. Brezzi, F. Dassi +2
We consider, as a simple model problem, the application of Virtual Element Methods (VEM) to the linear Magnetostatic three-dimensional problem in the formulation of F. Kikuchi. In…
The virtual element method for eigenvalue problems with potential terms on polytopal meshes
Ondrej Certik, Francesca Gardini, Gianmarco Manzini +1
We extend the conforming virtual element method to the numerical resolution of eigenvalue problems with potential terms on a polytopal mesh. An important application is that of the…
The nonconforming virtual element method for eigenvalue problems
Francesca Gardini, Gianmarco Manzini, Giuseppe Vacca
We analyse the nonconforming Virtual Element Method (VEM) for the approximation of elliptic eigenvalue problems. The nonconforming VEM allow to treat in the same formulation the tw…