Convergence analysis of Padé approximations for Helmholtz frequency response problems

DOI10.1051/m2an/2017050zbMath1411.35079OpenAlexW2763817103MaRDI QIDQ4613909

Fabio Nobile, Ilaria Perugia, Francesca Bonizzoni

Publication date: 25 January 2019

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/69547e5938466c16d5e0631c56d6d55c43084a25

zbMATH Keywords

Padé approximantsHelmholtz equationparametric PDEsconvergence of Padé approximantsHilbert space-valued meromorphic maps

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Padé approximation (41A21) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Rate of convergence, degree of approximation (41A25)

Related Items (6)

Least-squares Padé approximation of parametric and stochastic Helmholtz maps ⋮ Deep Neural Network Surrogates for Nonsmooth Quantities of Interest in Shape Uncertainty Quantification ⋮ Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots ⋮ A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems ⋮ Interpolatory Rational Model Order Reduction of Parametric Problems Lacking Uniform Inf-Sup Stability ⋮ Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure

Uses Software

• redbKIT

Cites Work

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