Legendre spectral element method with nearly incompressible materials
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Publication:1669365
DOI10.1016/j.euromechsol.2013.10.004zbMath1406.74642OpenAlexW1984310200MaRDI QIDQ1669365
Paul F. Fischer, Yulia T. Peet
Publication date: 3 September 2018
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2013.10.004
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Spectral and related methods applied to problems in solid mechanics (74S25)
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Polygonal composite elements for stress-constrained topology optimization of nearly incompressible materials ⋮ To \(\mathcal{P}\) or not to \(p\) -- the mixed displacement-pressure \(p\), versus the higher order \(\mathcal{P}\) displacement finite element formulation, for nearly incompressible linear elasticity ⋮ Verification and convergence study of a spectral-element numerical methodology for fluid-structure interaction ⋮ Moving overlapping grid methodology of spectral accuracy for incompressible flow solutions around rigid bodies in motion ⋮ A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients ⋮ A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations ⋮ Overlapping Schwarz Methods with a Standard Coarse Space for Almost Incompressible Linear Elasticity
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