Complex wavenumber Fourier analysis of the B-spline based finite element method

DOI10.1016/j.wavemoti.2013.09.003zbMath1456.74149OpenAlexW2070745038MaRDI QIDQ1727526

M. Okrouhlík, Jiří Plešek, Radek Kolman

Publication date: 20 February 2019

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2013.09.003

zbMATH Keywords

finite element methodB-splineisogeometric analysiselastic wave propagationdispersion errors

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Waves in solid mechanics (74J99) Isogeometric methods applied to problems in solid mechanics (74S22)

Related Items (7)

The effect of parameterization on isogeometric analysis of free-form curved beams ⋮ Wave motion in a thick cylindrical rod undergoing longitudinal impact ⋮ Convergence study of isogeometric analysis based on Bézier extraction in electronic structure calculations ⋮ Effects of parameterization and knot placement techniques on primal and mixed isogeometric collocation formulations of spatial shear-deformable beams with varying curvature and torsion ⋮ Isogeometric analysis in electronic structure calculations ⋮ B-spline based finite element method in one-dimensional discontinuous elastic wave propagation ⋮ Spectral approximation properties of isogeometric analysis with variable continuity

Uses Software

• Matlab

Cites Work

• Dispersion analysis of spectral element methods for elastic wave propagation
• Isogeometric analysis of structural vibrations
• Complex wavenumber Fourier analysis of the \(p\)-version finite element method
• Higher order B-spline collocation at the Greville abscissae
• Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
• Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
• Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics
• Finite element dispersion analysis for the three‐dimensional second‐order scalar wave equation
• Numerical Optimization
• A contribution to the study of dispersive properties of one-dimensional Lagrangian and Hermitian elements
• Isogeometric Analysis
• A critical evaluation of the resolution properties of B-spline and compact finite difference methods
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