Reduced order modeling via PGD for highly transient thermal evolutions in additive manufacturing

DOI10.1016/j.cma.2019.02.033zbMath1441.74146OpenAlexW2919507395MaRDI QIDQ2174151

C. A. de Hillerin, O. Bettinotti, Andrea Barbarulo, B. Favoretto, Victor Andrei Oancea

Publication date: 20 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.02.033

zbMATH Keywords

reduced order modelingproper generalized decompositionAM process simulationpowder bed fabrication

Mathematics Subject Classification ID

Phase transformations in solids (74N99) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical and other methods in solid mechanics (74S99)

Related Items (5)

Non-incremental response evaluation in geometrically nonlinear structural dynamics using a space-time stiffness operator ⋮ A weak-intrusive stochastic finite element method for stochastic structural dynamics analysis ⋮ Proper generalized decomposition with time adaptive space separation for transient wave propagation problems in separable domains ⋮ An optimally-coupled multi-time stepping method for transient heat conduction simulation for additive manufacturing ⋮ A stabilized mixed space-time proper generalized decomposition for the Navier-Stokes equations

Cites Work

• Proper generalized decomposition for multiscale and~multiphysics problems
• PGD-based \textit{computational vademecum} for efficient design, optimization and control
• Non incremental strategies based on separated representations: applications in computational rheology
• A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
• Multidimensional a priori hyper-reduction of mechanical models involving internal variables
• Reduced-order fluid/structure modeling of a complete aircraft configuration
• On a multiscale computational strategy with time and space homogenization for structural mechanics.
• Fast model updating coupling Bayesian inference and PGD model reduction
• The reference point method, a ``hyperreduction technique: application to PGD-based nonlinear model reduction
• Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity
• Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates
• Towards a framework for non‐linear thermal models in shell domains
• Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds

This page was built for publication: Reduced order modeling via PGD for highly transient thermal evolutions in additive manufacturing