Recovery based finite difference scheme on unstructured mesh

R. Zhao; W. Du; Feng Shi; Y. Cao

doi:10.1016/j.aml.2022.107935

Recovery based finite difference scheme on unstructured mesh

R. Zhao
, W. Du
, Feng Shi
, Y. Cao

Department of Foundational Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In the article, we propose a systematic method to generate finite difference scheme on unstructured mesh. Our method is based on recovery technique in the finite element community. The computed solutions own the same superconvergence (or ultraconvergence) property as recovered gradient and Hessian.

Original language	English
Article number	107935
Journal	Applied Mathematics Letters
Volume	129
DOIs	https://doi.org/10.1016/j.aml.2022.107935
Publication status	Published - Jul 2022

Keywords

Gradient recovery
Hessian recovery
Superconvergence
Unstructured mesh

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10.1016/j.aml.2022.107935

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title = "Recovery based finite difference scheme on unstructured mesh",

abstract = "In the article, we propose a systematic method to generate finite difference scheme on unstructured mesh. Our method is based on recovery technique in the finite element community. The computed solutions own the same superconvergence (or ultraconvergence) property as recovered gradient and Hessian.",

keywords = "Gradient recovery, Hessian recovery, Superconvergence, Unstructured mesh",

author = "R. Zhao and W. Du and Feng Shi and Y. Cao",

note = "Funding Information: R. Zhao was partially supported by the Guangdong Basic and Applied Basic Research Foundation, China (No. 2019A1515110835 ). F. Shi was supported by Basic Research Program of Shenzhen, China (Nos. JCYJ20180306171813194 and GXWD20201230155427003-20200822102539001 ). Y. Cao was partially supported by Shenzhen Technology Project, China (No. ZDSYS201707280904031 ). Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

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doi = "10.1016/j.aml.2022.107935",

language = "English",

volume = "129",

journal = "Applied Mathematics Letters",

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TY - JOUR

T1 - Recovery based finite difference scheme on unstructured mesh

AU - Zhao, R.

AU - Du, W.

AU - Shi, Feng

AU - Cao, Y.

N1 - Funding Information: R. Zhao was partially supported by the Guangdong Basic and Applied Basic Research Foundation, China (No. 2019A1515110835 ). F. Shi was supported by Basic Research Program of Shenzhen, China (Nos. JCYJ20180306171813194 and GXWD20201230155427003-20200822102539001 ). Y. Cao was partially supported by Shenzhen Technology Project, China (No. ZDSYS201707280904031 ). Publisher Copyright: © 2022 Elsevier Ltd

PY - 2022/7

Y1 - 2022/7

N2 - In the article, we propose a systematic method to generate finite difference scheme on unstructured mesh. Our method is based on recovery technique in the finite element community. The computed solutions own the same superconvergence (or ultraconvergence) property as recovered gradient and Hessian.

AB - In the article, we propose a systematic method to generate finite difference scheme on unstructured mesh. Our method is based on recovery technique in the finite element community. The computed solutions own the same superconvergence (or ultraconvergence) property as recovered gradient and Hessian.

KW - Gradient recovery

KW - Hessian recovery

KW - Superconvergence

KW - Unstructured mesh

UR - https://www.scopus.com/pages/publications/85123775483

U2 - 10.1016/j.aml.2022.107935

DO - 10.1016/j.aml.2022.107935

M3 - Article

SN - 0893-9659

VL - 129

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 107935

ER -

Recovery based finite difference scheme on unstructured mesh

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Keywords

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