Hierarchical spectral basis and Galerkin formulation using barycentric quadrature grids in triangular elements

DOI10.1007/S10665-006-9065-YzbMath1109.76045OpenAlexW2000451787MaRDI QIDQ870699

Leopold Grinberg, George Em. Karniadakis

Publication date: 14 March 2007

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-006-9065-y

zbMATH Keywords

Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22)

Uses Software

• Eigtool

Cites Work

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• The optimal symmetrical points for polynomial interpolation of real functions in the tetrahedron
• A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
• A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements
• Symmetric quadrature rules on a triangle
• From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
• A new triangular and tetrahedral basis for high‐order (hp) finite element methods
• A Lobatto interpolation grid over the triangle

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