A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients

DOI10.1007/S11075-017-0325-XzbMath1457.65230OpenAlexW2605407752MaRDI QIDQ684188

Bernard Bialecki, Andreas Karageorghis

Publication date: 9 February 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0325-x

zbMATH Keywords

preconditioned conjugate gradient methodLegendre polynomialsspectral methodsmatrix decomposition algorithmCauchy-Navier equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Classical linear elasticity (74B05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Iterative numerical methods for linear systems (65F10) Spectral and related methods applied to problems in solid mechanics (74S25) PDEs in connection with mechanics of deformable solids (35Q74) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (2)

Meshfree numerical approach based on the finite pointset method for static linear elasticity problems ⋮ A novel meshfree approach based on the finite pointset method for linear elasticity problems

Cites Work

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• Legendre spectral element method with nearly incompressible materials
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• A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions

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