Application of boundary element method superposition technique for solving natural frequencies in piecewise homogeneous domains

DOI10.1016/j.camwa.2019.08.026zbMath1443.65179OpenAlexW2975166728WikidataQ127200890 ScholiaQ127200890MaRDI QIDQ2004586

João Paulo Barbosa, Carlos Friedrich Loeffler

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.08.026

zbMATH Keywords

eigenvaluesnumerical methodsboundary element methodnon-homogeneousHelmholtz problems

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items

Frequencies evaluation in three-dimensional piecewise homogeneous Helmholtz problems, The direct interpolation boundary element method and the domain superposition technique applied to piecewise Helmholtz's problems with internal heterogeneity, Boundary element method solution of stationary advective-diffusive problems: a comparison between the direct interpolation and dual reciprocity technique

Cites Work

• An application of the OMLS method to domain integrals of potential problems in heterogeneous media
• The solution of the non-homogeneous Helmholtz equation by means of the boundary element method
• Trefftz-based methods for time-harmonic acoustics
• A generalized Helmholtz equation fundamental solution using a conformal mapping and dependent variable transformation
• Direct use of radial basis interpolation functions for modelling source terms with the boundary element method
• Solving Helmholtz problems with the boundary element method using direct radial basis function interpolation
• Sub-regions without subdomain partition with boundary elements
• A regularization scheme applied to the direct interpolation boundary element technique with radial basis functions for solving eigenvalue problem
• Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions
• Performance of BEM superposition technique for solving sectorially heterogeneous Laplace's problems with non-regular geometry
• Analysis of the boundary knot method for 3D Helmholtz-type equation
• A new subregion boundary element technique based on the domain decomposition method
• Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems
• Acoustic analysis of heterogeneous domains coupling the BEM with Kansa's method
• Diffraction of sound around barriers: Use of the boundary elements technique
• A quasi optimal Petrov–Galerkin method for Helmholtz problem
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