Partitions for spectral (finite) volume reconstruction in the tetrahedron

DOI10.1007/S10915-005-9009-0zbMath1109.65084OpenAlexW1979721390MaRDI QIDQ867031

Qian-Yong Chen

Publication date: 14 February 2007

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/4119

zbMATH Keywords

numerical examplesLebesgue constantspolynomial interpolationfinite volume reconstructionspartitions of the tetrahedronSpectral volume methods

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (1)

A study of viscous flux formulations for a \(p\)-multigrid spectral volume Navier Stokes solver

Cites Work

• Unnamed Item
• Spectral (finite) volume method for conservation laws on unstructured grids. II: Extension to two-dimensional scalar equation
• The optimal symmetrical points for polynomial interpolation of real functions in the tetrahedron
• Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization
• Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
• Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle
• An Algorithm for Computing Fekete Points in the Triangle
• From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
• Stable Spectral Methods on Tetrahedral Elements

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