The simplest node-based equilibrium finite element for 2D Poisson equation with exploration of the equivalence among hybrid, flux-based and stress-function-based equilibrium elements
Author:
Funder
National Key Research and Development Program of China
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Computer Science Applications,General Engineering,Modeling and Simulation,Software
Link
https://link.springer.com/content/pdf/10.1007/s00366-023-01810-1.pdf
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3. Almeida JPM, Pereira OJBA (2006) Upper bounds of the error in local quantities using equilibrated and compatible finite element solutions for linear elastic problems. Comput Methods Appl Mech Eng 195:279–296
4. Wang L, Zhong H (2015) A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation. Comput Methods Appl Mech Eng 286:332–353
5. Fraeijs de Veubeke B, Hogge MA (1972) Dual analysis for heat conduction problems by finite elements. Int J Numer Meth Eng 5:65–82
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