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20072024
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 · 98 across the 20 of their papers we have counts for

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Showing 2021 · math.NAShow all

5 papers · 2 filters

math.NA2021★ 2 cited

Two-level Method Part-scale Thermal Analysis of Laser Powder Bed Fusion Additive Manufacturing

Massimo Carraturo, Alex Viguerie, Alessandro Reali +1

Numerical simulations of a complete laser powder bed fusion (LPBF) additive manufacturing (AM) process are extremely challenging or even impossible to achieve without a radical mod…

math.NA2021

A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media

Alex Viguerie, Silvia Bertoluzza, Alessandro Veneziani +1

Problems with localized nonhomogeneous material properties present well-known challenges for numerical simulations. In particular, such problems may feature large differences in le…

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

Topology-preserving Scan-based Immersed Isogeometric Analysis

S. C. Divi, C. V. Verhoosel, F. Auricchio +2

To exploit the advantageous properties of isogeometric analysis (IGA) in a scan-based setting, it is important to extract a smooth geometric domain from the scan data (e.g., voxel…

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…