Superconvergent Patch Recovery for plate problems using statically admissible stress resultant fields

DOI<697::AID-NME526>3.0.CO;2-L 10.1002/(SICI)1097-0207(19990220)44:5<697::AID-NME526>3.0.CO;2-LzbMath0939.74070OpenAlexW1980559437MaRDI QIDQ4267101

Knut Morten Okstad, Trond Kvamsdal, Kjell M. Mathisen

Publication date: 22 September 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990220)44:5<697::aid-nme526>3.0.co;2-l

zbMATH Keywords

plate bendinga posteriori error estimationstress recoverypolynomial basis functionssuperconvergent patch recovery

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

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Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ Patch based recovery in finite element elastoplastic analysis ⋮ Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution ⋮ On the similarities and differences between classical hierarchical, truncated hierarchical and LR B-splines ⋮ Error estimates and adaptive finite element methods ⋮ Automatic adaptive FE analysis of thin-walled structures using 3D solid elements ⋮ Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

Cites Work

• Unnamed Item
• Unnamed Item
• \(C^1\)-continuous stress recovery in finite element analysis
• Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate
• A variational method for finite element stress recovery and error estimation
• Finite element derivative recovery by moving least square interpolants
• SUPERCONVERGENT PATCH RECOVERY IN PROBLEMS OF MIXED FORM
• Adaptive mesh generation and transformation of triangular to quadrilateral meshes
• Error estimates and adaptive refinement for plate bending problems
• A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
• On the Variational Foundations of Assumed Strain Methods
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Automatic three‐dimensional mesh generation by the finite octree technique
• 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
• Patch recovery based on superconvergent derivatives and equilibrium
• Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements
• Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
• Local and global smoothing of discontinuous finite element functions using a least squares method
• Derivative recovery techniques for C° plate problems
• A class of mixed assumed strain methods and the method of incompatible modes
• On the calculation of consistent stress distributions in finite element approximations