A virtual element method coupled with a boundary integral non reflecting condition for 2D exterior Helmholtz problems

DOI10.1016/j.camwa.2021.01.002OpenAlexW3121583880MaRDI QIDQ2226823

Silvia Falletta, Luca Desiderio, Letizia Scuderi

Publication date: 9 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.01.002

zbMATH Keywords

boundary element methodexterior Helmholtz problemsvirtual element methodnon reflecting boundary condition

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) 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) Boundary element methods for boundary value problems involving PDEs (65N38) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (10)

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 ⋮ Virtual element methods for general linear elliptic interface problems on polygonal meshes with small edges ⋮ On the Coupling of the Curved Virtual Element Method with the One-Equation Boundary Element Method for 2D Exterior Helmholtz Problems ⋮ The interior penalty virtual element method for the fourth-order elliptic hemivariational inequality ⋮ A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials ⋮ CVEM-BEM coupling for the simulation of time-domain wave fields scattered by obstacles with complex geometries ⋮ A virtual marriage à la mode: some recent results on the coupling of VEM and BEM

Uses Software

• Gmsh

Cites Work

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