Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems

DOI10.1515/jnma-2019-0068zbMath1471.65209OpenAlexW3039720747MaRDI QIDQ2025322

Salim Meddahi, Gabriel N. Gatica

Publication date: 12 May 2021

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2019-0068

zbMATH Keywords

error estimatesboundary element methodHelmholtz equationcouplingtransmission problemvirtual element method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Mixed virtual volume methods for elliptic problems, Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation, CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems, Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems, On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems, CVEM-BEM coupling for the simulation of time-domain wave fields scattered by obstacles with complex geometries, Further developments on boundary-field equation methods for nonlinear transmission problems, A virtual marriage à la mode: some recent results on the coupling of VEM and BEM

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