Application of Gegenbauer polynomial expansions to mitigate Gibbs phenomenon in Fourier-Bessel series solutions of a dynamic sphere problem

DOI10.1002/cnm.1207zbMath1274.74179OpenAlexW2039302438MaRDI QIDQ3060249

Shengtai Li, Todd O. Williams, Jerry S. Brock, James R. Kamm

Publication date: 1 December 2010

Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1207

zbMATH Keywords

linear elasticityclosed-form solutionGibbs phenomenonspherical shellinverse polynomial reconstruction

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Shells (74K25) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Explicit solutions of equilibrium problems in solid mechanics (74G05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Benchmark solution of the dynamic response of a spherical shell at finite strain ⋮ Benchmark analytic solution of the dynamic sphere problem for Bodner-Partom elastic-viscoplastic materials ⋮ Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon

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