Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems

DOI10.1002/nme.4271zbMath1246.74023OpenAlexW1615541166MaRDI QIDQ2911849

Ulrich Hetmaniuk, Radek Tezaur, Charbel Farhat

Publication date: 3 September 2012

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.4271

zbMATH Keywords

interpolationstructural dynamicsstructural acousticsreviewmodel order reductionacousticvibro-acousticsfinite element tearing and interconnecting (FETI)frequency sweepFETI-DPH

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (26)

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation ⋮ Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation ⋮ 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 ⋮ An adaptive scheme for a class of interpolatory model reduction methods for frequency response problems ⋮ Proper orthogonal decomposition-based model order reduction via radial basis functions for molecular dynamics systems ⋮ 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 ⋮ An adaptive strategy for the bivariate solution of finite element problems using multivariate nested Padé approximants ⋮ Real-time monitoring of thermal processes by reduced-order modeling ⋮ Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization ⋮ Nonlinear model reduction via a locally weighted POD method ⋮ Construction of reduced order operators for hydroelastic vibrations of prestressed liquid-structure systems using separated parameters decomposition ⋮ Model order reduction of time-domain vibro-acoustic finite element simulations with non-locally reacting absorbers ⋮ A fast direct solver for non-intrusive reduced order modeling of vibroacoustic problems ⋮ Convergence analysis of Padé approximations for Helmholtz frequency response problems ⋮ Coupled BE-FE based vibroacoustic modal analysis and frequency sweep using a generalized resolvent sampling method ⋮ Efficient multi-frequency solutions of FE-be coupled structural-acoustic problems using Arnoldi-based dimension reduction approach ⋮ Reduced-order methods for dynamic problems in topology optimization: a comparative study ⋮ An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems ⋮ Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure ⋮ Passive Vibration Control Using Viscoelastic Materials ⋮ Isogeometric analysis of acoustic scattering with perfectly matched layers (IGAPML)

Uses Software

• MUMPS

Cites Work

• Unnamed Item
• Unnamed Item
• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• High-fidelity real-time simulation on deployed platforms
• Rational Krylov for eigenvalue computation and model order reduction
• Interpolatory projection methods for structure-preserving model reduction
• A perfectly matched layer for the absorption of electromagnetic waves
• A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
• A Krylov subspace projection method for simultaneous solution of Helmholtz problems at multiple frequencies.
• Extending substructure based iterative solvers to multiple load and repeated analyses
• A rational Lanczos algorithm for model reduction
• A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
• A finite element model for acoustic scattering from objects near a fluid-fluid interface
• ``Natural norm a posteriori error estimators for reduced basis approximations
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• Iterative solution of large‐scale acoustic scattering problems with multiple right hand‐sides by a domain decomposition method with Lagrange multipliers
• FINITE ELEMENT SOLUTION OF TWO-DIMENSIONAL ACOUSTIC SCATTERING PROBLEMS USING ARBITRARILY SHAPED CONVEX ARTIFICIAL BOUNDARIES
• Matrix-Padé via Lanczos solutions for vibrations of fluid-structure interaction
• A FETI-DP method for the parallel iterative solution of indefinite and complex-valued solid and shell vibration problems
• On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains
• FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING
• Fast frequency sweep computations using a multi-point Padé-based reconstruction method and an efficient iterative solver
• Fast frequency response computation for Rayleigh damping
• Adaptive frequency windowing for multifrequency solutions in structural acoustics based on the matrix Padé-via-Lanczos algorithm
• $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Three-dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries
• Model reduction methods based on Krylov subspaces
• Application of the FETI method to ASCI problems?scalability results on 1000 processors and discussion of highly heterogeneous problems
• Model Reduction of MIMO Systems via Tangential Interpolation
• Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method
• Approximation of Large-Scale Dynamical Systems
• A fast method for solving acoustic scattering problems in frequency bands
• The discontinuous enrichment method

This page was built for publication: Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems