POD basis interpolation via inverse distance weighting on Grassmann manifolds

DOI10.3934/dcdss.2019115zbMath1464.65056OpenAlexW2901396672WikidataQ128857943 ScholiaQ128857943MaRDI QIDQ2321736

Abdallah El Hamidi, Aziz Hamdouni, Cyrille Allery, Rolando Mosquera

Publication date: 23 August 2019

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2019115

zbMATH Keywords

sensitivityproper orthogonal decompositioncompact operators

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical mathematical programming methods (65K05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

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Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases ⋮ On the stability of POD basis interpolation on Grassmann manifolds for parametric model order reduction ⋮ A non-intrusive space-time interpolation from compact Stiefel manifolds of parametrized rigid-viscoplastic FEM problems ⋮ A new method to interpolate POD reduced bases–Application to the parametric model order reduction of a gas bearings supported rotor ⋮ Parallel model order reduction based on block discrete Fourier transform and Krylov subspace for parametric systems ⋮ Adaptive hyper reduction for additive manufacturing thermal fluid analysis ⋮ Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

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