A straightforward structure to construct shape functions for variable \(p\)-order meshes

DOI10.1016/S0045-7825(97)00026-1zbMath0886.65004MaRDI QIDQ1376105

Joseph E. Flaherty, Mark S. Shephard, Saikat Dey

Publication date: 21 January 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

interpolationfinite elements\(p\)-versionshape functionsblending functionvariable \(p\)-order meshes

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) Numerical interpolation (65D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (14)

Unnamed Item ⋮ \(p\)-version FEM for structural acoustics with a posteriori error estimation ⋮ Integration by table look-up for \(p\)-version finite elements on curved tetrahedra ⋮ Parallel structures and dynamic load balancing for adaptive finite element computation ⋮ A differential quadrature hierarchical finite element method using Fekete points for triangles and tetrahedrons and its applications to structural vibration ⋮ Multilevel preconditioned QMR methods for unstructured mesh computation ⋮ Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements ⋮ Hierarchical basis for stabilized finite element methods for compressible flows. ⋮ A stabilized finite element method for computing turbulence ⋮ Error estimates and adaptive finite element methods ⋮ Geometry representation issues associated with \(p\)-version finite element computations ⋮ A hierarchical partition model for adaptive finite element computation ⋮ The variational multiscale method for laminar and turbulent flow ⋮ Additive Schwarz algorithms for solving \(hp\)-version finite element systems on triangular meshes

Cites Work

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• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
• The p- and h-p versions of the finite element method. An overview
• Symmetric Gaussian quadrature formulae for tetrahedronal regions
• The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
• The \(p\)-version of finite element method for shell analysis
• The problem of selecting the shape functions for ap-type finite element
• Thep-Version of the Finite Element Method
• New basis functions and computational procedures for p‐version finite element analysis
• A new triangular and tetrahedral basis for high‐order (hp) finite element methods

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