The Fourier finite-element approximation of the Lamé equations in axisymmetric domains with edges

DOI10.1007/S00607-005-0121-7zbMath1087.65102OpenAlexW2068079013MaRDI QIDQ817010

Boniface Nkemzi

Publication date: 2 March 2006

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-005-0121-7

zbMATH Keywords

convergencefinite element methoda priori error estimatesFourier methodgraded meshLamé systemNeuman problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) 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)

Cites Work

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• Singularités en élasticité. (Singularities in elasticity)
• Analysis of the combined finite element and Fourier interpolation
• Singularities in elasticity and their treatment with Fourier series
• Partial Fourier approximation of the Lamé equations in axisymmetric domains
• Singularity functions at axisymmetric edges and their representation by Fourier series
• Mesh Refinement and Windowing Near Edges for Some Elliptic Problem
• The Fourier-Finite-Element Method for Poisson’s Equation in Axisymmetric Domains with Edges
• A nonlinear, semi-analytical finite element analysis for nearly axisymmetric solids

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