Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator

2002 ◽  
Vol 19 (1) ◽  
pp. 13-23 ◽  
Author(s):  
M. Picasso
Keyword(s):  
Numerical Study ◽  
Error Estimator ◽  
Error Indicator ◽  
Effectivity Index

Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity

2013 ◽  
Vol 13 (3) ◽  
pp. 291-304 ◽  
Author(s):  
Philipp Dörsek ◽  
Jens M. Melenk
Keyword(s):  
Partial Differential Equations ◽  
Numerical Simulations ◽  
Linear Elasticity ◽  
Poisson Ratio ◽  
Error Estimator ◽  
Incompressible Limit ◽  
Reliability Estimate ◽  
Approximation Space ◽  
Effectivity Index ◽  
Nearly Incompressible Linear Elasticity

Abstract. We consider the extension of the p-robust equilibrated error estimator due to Braess, Pillwein and Schöberl to linear elasticity. We derive a formulation where the local mixed auxiliary problems do not require symmetry of the stresses. The resulting error estimator is p-robust, and the reliability estimate is also robust in the incompressible limit if quadratics are included in the approximation space. Extensions to other systems of linear second-order partial differential equations are discussed. Numerical simulations show only moderate deterioration of the effectivity index for a Poisson ratio close to .

scholarly journals Numerical Study of Plasmonic Efficiency of Gold Nanostripes for Molecule Detection

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Thomas Grosges ◽  
Dominique Barchiesi
Keyword(s):  
Finite Element Method ◽  
Electromagnetic Field ◽  
Numerical Study ◽  
Field Enhancement ◽  
Field Amplitude ◽  
Geometrical Parameters ◽  
Error Estimator ◽  
Optimization Scheme ◽  
Electromagnetic Excitation ◽  
Active Zones

In plasmonics, the accurate computation of the electromagnetic field enhancement is necessary in determining the amplitude and the spatial extension of the field around nanostructures. Here, the problem of the interaction between an electromagnetic excitation and gold nanostripes is solved. An optimization scheme, including an adaptive remeshing process with error estimator, is used to solve the problem through a finite element method. The variations of the electromagnetic field amplitude and the plasmonic active zones around nanostructures for molecule detection are studied in this paper taking into account the physical and geometrical parameters of the nanostripes. The evolution between the sizes and number of nanostripes is shown.

Numerical study of the low-frequency atomic dynamics in a Lennard-Jones glass

1998 ◽  
Vol 77 (2) ◽  
pp. 473-484 ◽  
Author(s):  
M. Sampoli, P. Benassi, R. Dell'Anna,
Keyword(s):  
Numerical Study ◽  
Low Frequency ◽  
Lennard Jones
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