EFFICIENT COMPUTATION OF MULTI-FREQUENCY FAR-FIELD SOLUTIONS OF THE HELMHOLTZ EQUATION USING PADÉ APPROXIMATION

DOI10.1142/S0218396X00000145zbMath1360.76201OpenAlexW4247831425MaRDI QIDQ2981653

Peter M. Pinsky, Manish Malhotra

Publication date: 9 May 2017

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218396x00000145

Mathematics Subject Classification ID

Related Items (14)

A survey of finite element methods for time-harmonic acoustics ⋮ Model reduction for dynamical systems with quadratic output ⋮ Developments in structural-acoustic optimization for passive noise control ⋮ A BEM broadband topology optimization strategy based on Taylor expansion and SOAR method—Application to 2D acoustic scattering problems ⋮ A Krylov subspace projection method for simultaneous solution of Helmholtz problems at multiple frequencies. ⋮ Acoustical topology optimization of Zwicker's loudness with Padé approximation ⋮ Efficient multi-frequency solutions of FE-be coupled structural-acoustic problems using Arnoldi-based dimension reduction approach ⋮ Reduced order fully coupled structural-acoustic analysis via implicit moment matching ⋮ Fast frequency sweep computations using a multi-point Padé-based reconstruction method and an efficient iterative solver ⋮ Topology optimization of dynamics problems with Padé approximants ⋮ Fast frequency response computation for Rayleigh damping ⋮ Calculation of medium-frequency vibrations over a wide frequency range ⋮ Matrix-Padé via Lanczos solutions for vibrations of fluid-structure interaction ⋮ Adaptive frequency windowing for multifrequency solutions in structural acoustics based on the matrix Padé-via-Lanczos algorithm

Cites Work

• Exact non-reflecting boundary conditions
• Analysis of continuous formulations underlying the computation of time- harmonic acoustics in exterior domains
• Matrix interpretations and applications of the continued fraction algorithm
• On nonreflecting boundary conditions
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions

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