Interpolatory Rational Model Order Reduction of Parametric Problems Lacking Uniform Inf-Sup Stability

DOI10.1137/19M1269695zbMath1446.30045arXiv1905.12954MaRDI QIDQ5115712

Davide Pradovera

Publication date: 18 August 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12954

zbMATH Keywords

Helmholtz equationrational approximationfrequency responsemodel order reductionHilbert space-valued meromorphic mapsnoncoercive parametric PDEs

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Approximation by rational functions (41A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (5)

Least-squares Padé approximation of parametric and stochastic Helmholtz maps ⋮ Detecting near resonances in acoustic scattering ⋮ Toward a certified greedy Loewner framework with minimal sampling ⋮ Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots ⋮ Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates

Uses Software

• redbKIT
• Loewner

Cites Work

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