Least-squares finite element approximations for the Reissner-Mindlin plate
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Publication:2760366
DOI<479::AID-NLA172>3.0.CO;2-K 10.1002/(SICI)1099-1506(199909)6:6<479::AID-NLA172>3.0.CO;2-KzbMath0982.74062OpenAlexW2044157372MaRDI QIDQ2760366
Xiu Ye, Huilong Zhang, Zhi-qiang Cai
Publication date: 19 December 2001
Full work available at URL: https://doi.org/10.1002/(sici)1099-1506(199909)6:6<479::aid-nla172>3.0.co;2-k
error estimatesfinite elementsmixed variational formulationweighted normsellipticityReissner-Mindlin plateleast-squares functionalHelmholtz decomposition of transverse shear strain
Related Items
Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum, Uniform analysis of a stabilized hybrid finite element method for Reissner-Mindlin plates, A Discontinuous Petrov–Galerkin Method for Reissner–Mindlin Plates, A Least-Squares-Based Weak Galerkin Finite Element Method for Second Order Elliptic Equations, Galerkin neural network approximation of singularly-perturbed elliptic systems, A priori and a posteriori analysis for a locking-free low order quadrilateral hybrid finite element for Reissner-Mindlin plates, An a posteriori error estimator for the weak Galerkin least-squares finite-element method, Least-squares finite element formulation for shear-deformable shells
Cites Work
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- Multilevel Boundary Functionals for Least-Squares Mixed Finite Element Methods
- A least-squares approach based on a discrete minus one inner product for first order systems
- Preconditioning discrete approximations of the Reissner-Mindlin plate model
- First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
- First-Order System Least Squares (FOSLS) for Planar Linear Elasticity: Pure Traction Problem
- A negative-norm least squares method for Reissner-Mindlin plates
- Multigrid methods for parameter dependent problems
