Hierarchal triangular elements using orthogonal polynomials

DOI10.1002/nme.1620380206zbMath0823.65102OpenAlexW2130620002MaRDI QIDQ4835135

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Publication date: 5 July 1995

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620380206

zbMATH Keywords

Helmholtz equationJacobi orthogonal polynomialsmethod of ``hierarchal elements

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Higher order triangular basis functions and solution performance of the CG method ⋮ A differential quadrature hierarchical finite element method using Fekete points for triangles and tetrahedrons and its applications to structural vibration ⋮ Symmetric and asymmetric Gauss and Gauss-Lobatto quadrature rules for triangles and their applications to high-order finite element analyses ⋮ A semi‐local spectral/hp element solver for linear elasticity problems ⋮ An eigen-based high-order expansion basis for structured spectral elements ⋮ Hierarchical algorithm of composite element containing drainage holes

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