Recovery of equilibrium on star patches using a partition of unity technique
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Publication:3649863
DOI10.1002/nme.2623zbMath1176.74201OpenAlexW2126312292MaRDI QIDQ3649863
E. A. W. Maunder, José Paulo Baptista Moitinho de Almeida
Publication date: 7 December 2009
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.2623
Classical linear elasticity (74B05) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (16)
On the techniques for constructing admissible stress fields in model verification: Performances on engineering examples ⋮ Recovery of equilibrium on star patches from conforming finite elements with a linear basis ⋮ Restraining approach for the spurious kinematic modes in hybrid equilibrium element ⋮ Strict upper and lower bounds of stress intensity factors at 2D elastic notches based on constitutive relation error estimation ⋮ New bounding techniques for goal-oriented error estimation applied to linear problems ⋮ A basis for bounding the errors of proper generalised decomposition solutions in solid mechanics ⋮ An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ An enhanced method with local energy minimization for the robust a posteriori construction of equilibrated stress fields in finite element analyses ⋮ Fast estimation of discretization error for FE problems solved by domain decomposition ⋮ A new non-intrusive technique for the construction of admissible stress fields in model verification ⋮ Meshless methods in dual analysis: theoretical and implementation issues ⋮ Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with XFEM ⋮ Dual adaptive finite element refinement for multiple local quantities in linear elastostatics ⋮ A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation ⋮ A recovery-explicit error estimator in energy norm for linear elasticity ⋮ \textit{A posteriori} error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems
Cites Work
- Unnamed Item
- Unnamed Item
- Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method
- A general method for recovering equilibrating element tractions
- A posteriori error estimators related to equilibrium defaults of finite element solutions for elastostatic problems
- Adaptive methods for hybrid equilibrium finite element models
- Local error estimators for finite element linear analysis
- Upper bounds of the error in local quantities using equilibrated and compatible finite element solutions for linear elastic problems
- Subdomain-based flux-free a posteriori error estimators
- The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
- A triangular hybrid equilibrium plate element of general degree
- The stability of stars of triangular equilibrium plate elements
- Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error
- Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
- Patch recovery based on superconvergent derivatives and equilibrium
- A GENERAL FORMULATION OF EQUILIBRIUM MACRO-ELEMENTS WITH CONTROL OF SPURIOUS KINEMATIC MODES: THE EXORCISM OF AN OLD CURSE
- A SET OF HYBRID EQUILIBRIUM FINITE ELEMENT MODELS FOR THE ANALYSIS OF THREE-DIMENSIONAL SOLIDS
- Patch recovery based on complementary energy
- Local problems on stars: A posteriori error estimators, convergence, and performance
- A “flux-free” nodal Neumann subproblem approach to output bounds for partial differential equations
- Hybrid equilibrium hexahedral elements and super‐elements
- Mastering Calculations in Linear and Nonlinear Mechanics
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