Pollution studies for high order isogeometric analysis and finite element for acoustic problems

DOI10.1016/j.cma.2019.03.031zbMath1441.65097OpenAlexW2928646978WikidataQ128159217 ScholiaQ128159217MaRDI QIDQ1988009

Ganesh C. Diwan, M. Shadi Mohamed

Publication date: 16 April 2020

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

Full work available at URL: https://discovery.ucl.ac.uk/id/eprint/10071530/

zbMATH Keywords

Helmholtz equationwave scattering

Mathematics Subject Classification ID

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

Related Items (17)

Standard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analyses ⋮ An optimized finite element method for the analysis of 3D acoustic cavities with impedance boundary conditions ⋮ Enriched isogeometric collocation for two-dimensional time-harmonic acoustics ⋮ A novel high‐order collocation indirect boundary element method based on the Leis formulation for three‐dimensional high frequency exterior acoustic problems ⋮ Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction ⋮ Isogeometric analysis for geometric modelling and acoustic attenuation performances of reactive mufflers ⋮ Isogeometric Solution of Helmholtz Equation with Dirichlet Boundary Condition in Regions with Irregular Boundary: Numerical Experiences ⋮ Partition of Unity Finite Element Method for 2D Vibro-Acoustic Modeling ⋮ Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics ⋮ Numerical modeling of acoustic processes in gradient media using the grid-characteristic method ⋮ A comparison of high-order and plane wave enriched boundary element basis functions for Helmholtz problems ⋮ Iterative solution with shifted Laplace preconditioner for plane wave enriched isogeometric analysis and finite element discretization for high-frequency acoustics ⋮ Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions ⋮ Towards accuracy and scalability: combining isogeometric analysis with deflation to obtain scalable convergence for the Helmholtz equation ⋮ 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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