Automated adaptive two‐dimensional system for the hp‐version of the finite element method

DOI10.1002/nme.1620320412zbMath0778.65076OpenAlexW2153909797MaRDI QIDQ4021324

Marcel K. Georges, Mark S. Shephard

Publication date: 16 January 1993

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.1620320412

zbMATH Keywords

singularitiesnumerical examplesglobal error estimatemesh generationlocal error estimateconvergence rate estimatestwo-dimensional linear elasticity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (8)

On adaptive multilevel superposition of finite element meshes for linear elastostatics ⋮ Remeshing for metal forming simulations?Part II: Three-dimensional hexahedral mesh generation ⋮ Adaptive \(s\)-method for linear elastostatics ⋮ On the error estimate of \(h\)-convergence in quadrilateral elements ⋮ Ana posteriorierror estimator for thep- andhp-versions of the finite element method ⋮ Error estimates and adaptive finite element methods ⋮ Adaptive mesh generation for curved domains ⋮ 2D and 3D finite element meshing and remeshing

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