Local Defect Correction Method coupled with the Zienkiewicz-Zhu a $posteriori$ error estimator in elastostatics Solid Mechanics

M´ ethode des ´ el´ ements finis mixte duale pour les probl` emes de l’´ elasticit´ e et de l’´ elastodynamique: analyse d’erreur ` a priori et ` a posteriori `

Generalized multiscale finite element methods (GMsFEM).. Theory and practice of finite elements, volume 159 of Applied Mathematical Sciences. Element diameter free stability

• Alternative formulation for a good conditioning of the system matrix â Quasi optimal convergence.. • Necessary and sufficient geometrical conditions remain open â Inclusion

The contact contribution is computed on a one-dimensional integration element which con- forms to the boundary of the structure inside the extended finite element.. In

This paper introduces an error estimator based on the constitutive relation which provides an upper bound of the global error for parametric linear elastic models computed with

To prove the optimal convergence of the standard finite element method, we shall construct a modification of the nodal interpolation operator replacing the standard

In Farhloul and Manouzi [1], these authors have introduced a mixed finite el- ement method for problem (0.1) based on the introduction of σ = |∇ u | p − 2 ∇ u as a new unknown and

Crouzeix-Raviart element, nonconforming method, stabilized method, nonlocking, a posteriori error estimates.. AMS