Legendre spectral methods for the -grad (div) operator with free boundary conditions

DOI10.1007/s11075-008-9262-zzbMath1175.65131OpenAlexW1978288073MaRDI QIDQ735065

Etienne Ahusborde

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1007/s11075-008-9262-z

zbMATH Keywords

convergencenumerical examplesstaggered gridsspectral methodsspurious eigenvaluesstable element-grad (div) operator

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Cites Work

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• Legendre spectral methods for the - grad(div) operator
• Spectral approximation of the periodic nonperiodic Navier-Stokes equations
• Spectral methods for incompressible viscous flow
• On a stable spectral method for the grad(div) eigenvalue problem
• Discrete Compactness for the hp Version of Rectangular Edge Finite Elements
• High-Order Methods for Incompressible Fluid Flow
• Grad-div stablilization for Stokes equations

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