Arbitrary-level hanging nodes and automatic adaptivity in the \(hp\)-FEM

DOI10.1016/j.matcom.2007.02.011zbMath1135.65394OpenAlexW2079399654MaRDI QIDQ2479448

Pavel Šolín, Ivo Doležel, Jakub Cerveny

Publication date: 26 March 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.02.011

zbMATH Keywords

linear elasticity numerical examples Laplace equation Poisson equation \(hp\)-finite element method \(hp\)-FEM hanging nodes constrained approximation automatic \(hp\)-adaptivity \(L\)-shape domain

Mathematics Subject Classification ID

Classical linear elasticity (74B05) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Uses Software

par2Dhp

Cites Work