Ana posteriorierror estimator for thep- andhp-versions of the finite element method

DOI10.1002/nme.1162zbMath1083.74050OpenAlexW2145063772WikidataQ123938686 ScholiaQ123938686MaRDI QIDQ5711741

José E. Tarancón, Francisco Javier Fuenmayor, Luis Baeza

Publication date: 8 December 2005

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.1162

zbMATH Keywords

local error estimatorminimum complementary energy principle

Mathematics Subject Classification ID

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

Related Items

Adaptive nodeless variable finite elements with flux-based formulation for thermal-structural analysis, An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations, An \(hp\) finite element adaptive scheme to solve the Poisson problem on curved domains

Cites Work

• Unnamed Item
• Unnamed Item
• A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods
• Application of Zienkiewicz--Zhu's error estimate with superconvergent patch recovery to hierarchical p-refinement
• A unified approach to a posteriori error estimation using element residual methods
• Finite element analysis in professional practice
• Approximation properties of the \(h\)-\(p\) version of the finite element method
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Automated adaptive two‐dimensional system for the hp‐version of the finite element method
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals