An algorithmic comparison of the hyper-reduction and the discrete empirical interpolation method for a nonlinear thermal problem

DOI10.3390/mca23010008zbMath1390.80017arXiv1610.05029OpenAlexW2539389435MaRDI QIDQ1649307

Felix Fritzen, David Ryckelynck, Bernard Haasdonk, Sebastian Schöps

Publication date: 5 July 2018

Published in: Mathematical \& Computational Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05029

zbMATH Keywords

model order reduction (MOR)uncertainty quantification (UQ)(discrete) empirical interpolation method (EIMDEIM)hyper-reduction (HR)reduced basis model order reduction (RB MOR)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (9)

An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation ⋮ Microstructure-informed reduced modes synthesized with Wang tiles and the generalized finite element method ⋮ gLaSDI: parametric physics-informed greedy latent space dynamics identification ⋮ A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models ⋮ A discretize-then-map approach for the treatment of parameterized geometries in model order reduction ⋮ Adaptive hyper reduction for additive manufacturing thermal fluid analysis ⋮ A two-stage surrogate model for neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation ⋮ Reduced order models for Lagrangian hydrodynamics ⋮ Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition

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