C
Carlo Lovadina
Researcher at University of Milan
Publications - 93
Citations - 3786
Carlo Lovadina is an academic researcher from University of Milan. The author has contributed to research in topics: Finite element method & Mixed finite element method. The author has an hindex of 32, co-authored 90 publications receiving 3099 citations. Previous affiliations of Carlo Lovadina include University of Trento & Cessna.
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Stability analysis for the virtual element method
TL;DR: This work analyzes the Virtual Element Methods on a simple elliptic model problem, allowing for more general meshes than the one typically considered in the VEM literature, and shows that the stabilization term can be simplified by dropping the contribution of the internal-to-the-element degrees of freedom.
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Divergence free virtual elements for the stokes problem on polygonal meshes
TL;DR: This paper develops a new family of Virtual Elements for the Stokes problem on polygonal meshes that can guarantee that the final discrete velocity is pointwise divergence-free, and not only in a relaxed (projected) sense, as it happens for more standard elements.
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A fully ''locking-free'' isogeometric approach for plane linear elasticity problems: A stream function formulation
Ferdinando Auricchio,L. Beirão da Veiga,Annalisa Buffa,Carlo Lovadina,Alessandro Reali,Giancarlo Sangalli +5 more
TL;DR: In this article, a divergence-free displacement field is computed from a scalar potential by means of a "stream-function" formulation such that the displacement field can be automatically locking-free in the presence of the incompressibility constraint.
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A Virtual Element Method for elastic and inelastic problems on polytope meshes
TL;DR: In this paper, the Virtual Element Method (VEM) is proposed for nonlinear elastic and inelastic problems, mainly focusing on a small deformation regime, and the numerical scheme is based on a low-order approximation of the displacement field.
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Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
TL;DR: In this paper, the authors considered both mixed and displacement-based methods for the Timoshenko beam problem and showed that locking-free solutions are obtained for mixed methods independently on the approximation degrees selected for the unknown fields.