# A Modified Polynomial Preserving Recovery Technique

### M. Barakat, M. Barakat, W. Zahra, W. Zahra, A. Elsaid, A. Elsaid

#### 2022

#### Abstract

In this work, the polynomial preserving recovery method is enhanced by increasing the order of the fitting polynomial within the same patch. This is achieved by adding more sample points inside the elements of the patch then substitute them in the discretized form of the differential equation. These sample points are the set of superconvergent points of the patch under consideration. Numerical results show that the recovered gradient at the nodes with linear elements is superconvergent. The proposed method improves the accuracy of the recovered gradient over the domain of the solution with the same rate of convergence of the polynomial preserving recovery technique.

Download#### Paper Citation

#### in Harvard Style

Barakat M., Zahra W. and Elsaid A. (2022). **A Modified Polynomial Preserving Recovery Technique**. In *Proceedings of the 12th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,* ISBN 978-989-758-578-4, pages 63-69. DOI: 10.5220/0011263400003274

#### in Bibtex Style

@conference{simultech22,

author={M. Barakat and W. Zahra and A. Elsaid},

title={A Modified Polynomial Preserving Recovery Technique},

booktitle={Proceedings of the 12th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},

year={2022},

pages={63-69},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0011263400003274},

isbn={978-989-758-578-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 12th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,

TI - A Modified Polynomial Preserving Recovery Technique

SN - 978-989-758-578-4

AU - Barakat M.

AU - Zahra W.

AU - Elsaid A.

PY - 2022

SP - 63

EP - 69

DO - 10.5220/0011263400003274