A fully automatic \(hp\)-adaptivity for elliptic PDEs in three dimensions

DOI10.1016/j.cma.2006.10.053zbMath1173.65357OpenAlexW1964155345MaRDI QIDQ1033369

Jason Kurtz, Leszek F. Demkowicz

Publication date: 6 November 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.2006.10.053

zbMATH Keywords

\(hp\) finite elementsautomatic \(hp\)-adaptivity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Uses Software

• 3Dhp90
• par2Dhp

Cites Work

• Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
• Optimal error estimate of a projection based interpolation for the \(p\)-version approximation in three dimensions
• An adaptive strategy for \(hp\)-FEM based on testing for analyticity
• The h-p version of the finite element method. II. General results and applications
• Approximation properties of the \(h\)-\(p\) version of the finite element method
• An adaptive refinement strategy for \(hp\)-finite element computations
• de Rham diagram for \(hp\) finite element spaces
• A fully automatic \(hp\)-adaptivity
• \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates
• Fully automatic \(hp\)-adaptivity for Maxwell's equations
• The h, p and h-p versions of the finite element method in 1 dimension. I. The error analysis of the p-version
• Fully automatic \(hp\)-adaptivity in three dimensions
• Parallel, fully automatic \(hp\)-adaptive \(2d\) finite element package
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