Precorrected-FFT Accelerated Singular Boundary Method for Large-Scale Three-Dimensional Potential Problems

DOI10.4208/cicp.OA-2016-0075zbMath1488.65691OpenAlexW2651315399MaRDI QIDQ5159038

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Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2016-0075

zbMATH Keywords

large-scaleprecorrected-FFTfast matrix algorithmingular boundary methodthreedimensional potential problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (18)

Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics ⋮ A fast direct singular boundary method for three-dimensional potential problems ⋮ A frequency domain formulation of the singular boundary method for dynamic analysis of thin elastic plate ⋮ Singular boundary method for band structure calculations of in-plane waves in 2D phononic crystals ⋮ Singular boundary method: a review and computer implementation aspects ⋮ A modified dual-level fast multipole boundary element method for large-scale three-dimensional potential problems ⋮ A fast singular boundary method for 3D Helmholtz equation ⋮ A modified multilevel algorithm for large-scale scientific and engineering computing ⋮ Simulation of the band structure for scalar waves in 2D phononic crystals by the singular boundary method ⋮ Hybrid FEM-SBM solver for structural vibration induced underwater acoustic radiation in shallow marine environment ⋮ Singular boundary method for 3D time-harmonic electromagnetic scattering problems ⋮ A modified dual-level fast multipole boundary element method based on the Burton-Miller formulation for large-scale three-dimensional sound field analysis ⋮ Numerical Solution of Steady-State Free Boundary Problems using the Singular Boundary Method ⋮ A boundary collocation method for anomalous heat conduction analysis in functionally graded materials ⋮ Regularized formulation of potential field gradients in singular boundary method ⋮ A modified singular boundary method for three-dimensional high frequency acoustic wave problems ⋮ A meshless singular boundary method for elastic wave propagation in 2D partially saturated poroelastic media ⋮ Simulation of two-dimensional steady-state heat conduction problems by a fast singular boundary method

Cites Work

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• Fast BEM solution for coupled 3D electrostatic and linear elastic problems
• The development of the pFFT accelerated BEM for 3-D acoustic scattering problems based on the Burton and Miller's integral formulation
• Precorrected FFT accelerated BEM for large-scale transient elastodynamic analysis using frequency-domain approach
• Singular Boundary Method: Three RegularizationApproaches and ExteriorWave Applications
• A fast integral approach for drag force calculation due to oscillatory slip stokes flows
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A fast algorithm for particle simulations

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