Piecewise polynomial shape functions for \(hp\)-finite element methods

DOI10.1016/j.cma.2008.05.016zbMath1157.65479OpenAlexW1999218292MaRDI QIDQ1008909

Matthias Baitsch, Dietrich Hartmann

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.cma.2008.05.016

zbMATH Keywords

convergence\(hp\)-finite element methodsmesh-refinementirregular meshespiecewise polynomial functions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

A finite element method with mesh-separation-based approximation technique and its application in modeling crack propagation with adaptive mesh refinement, Hanging nodes and XFEM, Spline element methods allowing multiple level hanging nodes, High order transition elements: the \(x\mathbf{N}y\)-element concept. II: Dynamics, Forward modelling of geophysical electromagnetic data on unstructured grids using an adaptive mimetic finite-difference method, High order transition elements: the \(x\boldsymbol{N}y\)-element concept. I: Statics

Uses Software

• Concepts
• deal.ii
• KRATOS
• OOFEM
• hpGEM

Cites Work

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• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Mesh design for the p-version of the finite element method
• Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
• PZ: An object oriented environment for scientific programming
• The p‐version of the finite element method for three‐dimensional curved thin walled structures
• Data structures and requirements for hp finite element software
• MLS-based variable-node elements compatible with quadratic interpolation. Part I: formulation and application for non-matching meshes
• hpGEM---A software framework for discontinuous Galerkin finite element methods
• deal.II—A general-purpose object-oriented finite element library
• Thepandh-pVersions of the Finite Element Method, Basic Principles and Properties
• Concepts—An Object-Oriented Software Package for Partial Differential Equations