A Lobatto interpolation grid in the tetrahedron
From MaRDI portal
Publication:5424255
DOI10.1093/imamat/hxh111zbMath1125.65012OpenAlexW2142296733WikidataQ108735973 ScholiaQ108735973MaRDI QIDQ5424255
Publication date: 5 November 2007
Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/d5513bf8137a2fca4ba394f5324c3310e7169bca
convergencefinite elementsnumerical examplescondition numberFekete pointsLobatto polynomialsLobatto interpolation
Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)
Related Items
A comparison of interpolation grids over the triangle or the tetrahedron ⋮ A differential quadrature hierarchical finite element method using Fekete points for triangles and tetrahedrons and its applications to structural vibration ⋮ Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling ⋮ On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics ⋮ \(P = 2\) continuous finite elements on tetrahedra with local mass matrix inversion ⋮ Spectral Element Methods on Simplicial Meshes ⋮ High order transition elements: the \(x\boldsymbol{N}y\)-element concept. I: Statics ⋮ Recursive, Parameter-Free, Explicitly Defined Interpolation Nodes for Simplices