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Showing 2016 · math.NAShow all

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math.NA2016★ 2 cited

On the Virtual Element Method for Topology Optimization on polygonal meshes: a numerical study

Paola F. Antonietti, Matteo Bruggi, Simone Scacchi +1

It is well known that the solution of topology optimization problems may be affected both by the geometric properties of the computational mesh, which can steer the minimization pr…

math.NA2016★ 3 cited

The fully nonconforming virtual element method for biharmonic problems

P. F. Antonietti, G. Manzini, M. Verani

In this paper we address the numerical approximation of linear fourth-order elliptic problems on polygonal meshes. In particular, we present a novel nonconforming virtual element d…

math.NA2016★ 1 cited

On p-Robust Saturation for hp-AFEM

Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson +1

We consider the standard adaptive finite element loop SOLVE, ESTIMATE, MARK, REFINE, with ESTIMATE being implemented using the -robust equilibrated flux estimator, and MARK bein…

math.NA2016★ 24 cited

Isogeometric Simulation of Lorentz Detuning in Superconducting Accelerator Cavities

Jacopo Corno, Carlo de Falco, Herbert De Gersem +1

Cavities in linear accelerators suffer from eigenfrequency shifts due to mechanical deformation caused by the electromagnetic radiation pressure, a phenomenon known as Lorentz detu…

math.NA2016★ 12 cited

Direct inversion from partial-boundary data in electrical impedance tomography

Andreas Hauptmann, Matteo Santacesaria, Samuli Siltanen

In Electrical Impedance Tomography (EIT) one wants to image the conductivity distribution of a body from current and voltage measurements carried out on its boundary. In this paper…