Plane wave enriched partition of unity isogeometric analysis (PUIGA) for 2D-Helmholtz problems

DOI10.1016/j.cma.2018.02.020zbMath1440.74389OpenAlexW2793665909MaRDI QIDQ2310953

M. Dinachandra, Sethuraman Raju

Publication date: 7 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.02.020

zbMATH Keywords

Helmholtz equationpartition of unityisogeometric analysisNURBSexterior acousticstime harmonic acoustics

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Wave scattering in solid mechanics (74J20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (18)

Standard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analyses ⋮ Non Uniform Rational B-Splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions ⋮ Highly accurate acoustic scattering: isogeometric analysis coupled with local high order Farfield Expansion ABC ⋮ Enriched isogeometric collocation for two-dimensional time-harmonic acoustics ⋮ High order methods for acoustic scattering: coupling farfield expansions ABC with deferred-correction methods ⋮ A novel high‐order collocation indirect boundary element method based on the Leis formulation for three‐dimensional high frequency exterior acoustic problems ⋮ Isogeometric analysis for geometric modelling and acoustic attenuation performances of reactive mufflers ⋮ Partition of Unity Finite Element Method for 2D Vibro-Acoustic Modeling ⋮ The enriched quadrilateral overlapping finite elements for time-harmonic acoustics ⋮ Scaled Boundary Finite Element Method for Mid-Frequency Acoustics of Cavities ⋮ \(h\)- and \(p\)-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics ⋮ A virtual element method coupled with a boundary integral non reflecting condition for 2D exterior Helmholtz problems ⋮ Iterative solution with shifted Laplace preconditioner for plane wave enriched isogeometric analysis and finite element discretization for high-frequency acoustics ⋮ Stable generalized iso-geometric analysis (SGIGA) for problems with discontinuities and singularities ⋮ Pollution studies for high order isogeometric analysis and finite element for acoustic problems ⋮ A new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshes ⋮ Iterative solution of Helmholtz problem with high-order isogeometric analysis and finite element method at mid-range frequencies ⋮ Numerical investigations with extended isogeometric boundary element analysis (XIBEM) for direct and inverse Helmholtz acoustic problems

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