An adaptive scheme for a class of interpolatory model reduction methods for frequency response problems

DOI10.1002/nme.4436zbMath1352.74132OpenAlexW1925955609MaRDI QIDQ2952206

Charbel Farhat, Radek Tezaur, Ulrich Hetmaniuk

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4436

zbMATH Keywords

interpolationadaptivitystructural dynamicsstructural acousticsacousticsmodel order reductionvibro-acousticsfrequency sweep

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Numerical interpolation (65D05) Hydro- and aero-acoustics (76Q05)

Related Items (17)

Automatic model order reduction for systems with frequency-dependent material properties ⋮ Nonlinear model reduction for computational vibration analysis of structures with weak geometrical nonlinearity coupled with linear acoustic liquids in the presence of linear sloshing and capillarity ⋮ Real-time solution of linear computational problems using databases of parametric reduced-order models with arbitrary underlying meshes ⋮ Least-squares Padé approximation of parametric and stochastic Helmholtz maps ⋮ A finite element approach combining a reduced-order system, Padé approximants, and an adaptive frequency windowing for fast multi-frequency solution of poro-acoustic problems ⋮ Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency ⋮ Fast frequency sweeps with many forcing vectors through adaptive interpolatory model order reduction ⋮ A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics ⋮ Nonlinear model reduction via a locally weighted POD method ⋮ MWCAWE: a multivariate WCAWE approach for parametric model order reduction, and a sampling strategy for the bivariate case ⋮ Convergence analysis of Padé approximations for Helmholtz frequency response problems ⋮ New advances in the forced response computation of periodic structures using the wave finite element (WFE) method ⋮ Efficient multi-frequency solutions of FE-be coupled structural-acoustic problems using Arnoldi-based dimension reduction approach ⋮ Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure ⋮ 3 Model order reduction based on moment-matching ⋮ Isogeometric analysis of acoustic scattering with perfectly matched layers (IGAPML) ⋮ Adaptive Interpolatory MOR by Learning the Error Estimator in the Parameter Domain

Uses Software

• MUMPS

Cites Work

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