A New Finite Element Gradient Recovery Method: Superconvergence Property

By Zhimin Zhang, Ahmed Naga. SIAM Journal on Scientific Computing, 2005

320 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c5b3031264af4e40bc3e734d226ac7bb8a108279

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Weizhang Huang
2. Marco Picasso
3. Ahmed Naga
4. Zhimin Zhang
5. Robert D. Russell
6. Chris J. Budd

In Electrical and Electronic Engineering

1. Weizhang Huang
2. Marco Picasso
3. Ahmed Naga
4. Zhimin Zhang

In Mechanics of Materials

1. Weizhang Huang
2. Marco Picasso
3. Ahmed Naga
4. Zhimin Zhang

Citations in the corpus

• Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives (2006, methodology): “The reader should note that recently an alternative gradient recovery technique based on least square fitting has been proposed in [37,28] and has proved to be superconvergent on the chevron pattern.”
• Mathematical Principles of Anisotropic Mesh Adaptation (2006, methodology): “A gradient recovery technique such as those of Zienkiewicz and Zhu [58,59] and Zhang and Naga [57] can then be used for computing the needed derivatives.”
• THE POLYNOMIAL-PRESERVING RECOVERY FOR HIGHER ORDER FINITE ELEMENT METHODS IN 2D AND 3D (2005, methodology): “A proof of this result in 2D is given in [26], and the argument in this proof can be extended to cover the 3D linear case.”