On a new edge-based gradient recovery technique

AbstractIn this paper, a new type of gradient recovery method based on vertex-edge-face interpolation is introduced and analyzed. This method gives a new way to recover gradient approximations and has the same simplicity, efficiency, and superconvergence properties as those of superconvergence patch recovery method and polynomial preserving recovery method. Here, we introduce the recovery technique and analyze its superconvergence properties. We also show a simple application in the a posteriori error estimates. Some numerical examples illustrate the effectiveness of this recovery method.

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A flux-jump preserved gradient recovery technique for accurately predicting the electrostatic field of an immersed biomolecule

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.049 ◽

2019 ◽

Vol 396 ◽

pp. 193-208 ◽

Cited By ~ 2

Author(s):

Jiao Li ◽

Jinyong Ying ◽

Benzhuo Lu

Keyword(s):

Electrostatic Field ◽

Gradient Recovery ◽

Recovery Technique ◽

Flux Jump

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Superconvergence Analysis of Gradient Recovery Method for TM Model of Electromagnetic Scattering in the Cavity

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.2015.m1136 ◽

2017 ◽

Vol 9 (5) ◽

pp. 1133-1144

Author(s):

Shanghui Jia ◽

Changhui Yao

Keyword(s):

Finite Element ◽

Electromagnetic Scattering ◽

Gradient Recovery ◽

Recovery Method ◽

Face Type ◽

Numerical Example ◽

Polynomial Preserving ◽

Recovery Technique ◽

Tm Model

AbstractIn this paper, we consider the transform magnetic (TM) model of electromagnetic scattering in the cavity. By the Polynomial Preserving Recovery technique, we present superconvergence analysis for the vertex-edge-face type finite element. From the numerical example, we can see that the provided method is efficient and stable.

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Superconvergence Analysis of Gradient Recovery Method for TM Model of Electromagnetic Scattering in the Cavity

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.2014.m894 ◽

2017 ◽

Vol 9 (3) ◽

pp. 543-553 ◽

Cited By ~ 2

Author(s):

Shanghui Jia ◽

Changhui Yao ◽

Hehu Xie

Keyword(s):

Finite Element ◽

Electromagnetic Scattering ◽

Gradient Recovery ◽

Recovery Method ◽

Face Type ◽

Numerical Example ◽

Polynomial Preserving ◽

Recovery Technique ◽

Tm Model

AbstractIn this paper, we consider the transform magnetic (TM) model of electromagnetic scattering in the cavity. By the Polynomial Preserving Recovery technique, we present superconvergence analysis for the vertex-edge-face type finite element. From the numerical example, we can see that the provided method is efficient and stable.

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