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20072021
most citedAccurate prediction of melt pool shapes in laser powder bed fusion by the non-linear temperature equation including phase changes - isotropic versus anisotropic conductivity

47 citations · 87 across the 11 of their papers we have counts for

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5 papers · 1 filter

math.NA2021

A spatiotemporal two-level method for high-fidelity thermal analysis of laserpowder bed fusion

Alex Viguerie, Massimo Carraturo, Alessandro Reali +1

Numerical simulation of the laser powder bed fusion (LPBF) procedure for additive manufacturing (AM) is difficult due to the presence of multiple scales in both time and space, ran…

math.NA2021

Mixed variational formulations for structural topology optimization based on the phase-field approach

Michele Marino, Ferdinando Auricchio, Alessandro Reali +2

We propose a variational principle combining a phase-field functional for structural topology optimization with a mixed (three-field) Hu-Washizu functional, then including directly…

math.NA202028 cited

Automatic differentiation for solid mechanics

Andrea Vigliotti, Ferdinando Auricchio

Automatic differentiation (AD) is an ensemble of techniques that allow to evaluate accurate numerical derivatives of a mathematical function expressed in a computer programming lan…

math.NA2019

Error-estimate-based Adaptive Integration For Immersed Isogeometric Analysis

Sai C Divi, Clemens V Verhoosel, Ferdinando Auricchio +2

The Finite Cell Method (FCM) together with Isogeometric analysis (IGA) has been applied successfully in various problems in solid mechanics, in image-based analysis, fluid-structur…

math.NA2019

A Fat boundary-type method for localized nonhomogeneous material problems

Alex Viguerie, Silvia Bertoluzza, Ferdinando Auricchio

Problems with localized nonhomogeneous material properties arise frequently in many applications and are a well-known source of difficulty in numerical simulations. In certain appl…