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Some advances in high-performance finite element methods

Song Cen, Cheng Jin Wu, Zhi Li, Yan Shang, Chenfeng Li Orcid Logo

Engineering Computations, Volume: ahead-of-print, Issue: ahead-of-print

Swansea University Author: Chenfeng Li Orcid Logo

Abstract

PurposeThe purpose of this paper is to give a review on the newest developments of high-performance finite element methods (FEMs), and exhibit the recent contributions achieved by the authors’ group, especially showing some breakthroughs against inherent difficulties existing in the traditional FEM...

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Published in: Engineering Computations
ISSN: 0264-4401
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa51526
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first_indexed 2019-08-23T15:31:23Z
last_indexed 2019-09-26T14:19:09Z
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spelling 2019-09-26T13:00:31.9801862 v2 51526 2019-08-23 Some advances in high-performance finite element methods 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2019-08-23 CIVL PurposeThe purpose of this paper is to give a review on the newest developments of high-performance finite element methods (FEMs), and exhibit the recent contributions achieved by the authors’ group, especially showing some breakthroughs against inherent difficulties existing in the traditional FEM for a long time.Design/methodology/approachThree kinds of new FEMs are emphasized and introduced, including the hybrid stress-function element method, the hybrid displacement-function element method for Mindlin–Reissner plate and the improved unsymmetric FEM. The distinguished feature of these three methods is that they all apply the fundamental analytical solutions of elasticity expressed in different coordinates as their trial functions.FindingsThe new FEMs show advantages from both analytical and numerical approaches. All the models exhibit outstanding capacity for resisting various severe mesh distortions, and even perform well when other models cannot work. Some difficulties in the history of FEM are also broken through, such as the limitations defined by MacNeal’s theorem and the edge-effect problems of Mindlin–Reissner plate.Originality/valueThese contributions possess high value for solving the difficulties in engineering computations, and promote the progress of FEM. Journal Article Engineering Computations ahead-of-print ahead-of-print 0264-4401 7 10 2019 2019-10-07 10.1108/EC-10-2018-0479 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-09-26T13:00:31.9801862 2019-08-23T09:24:50.0247910 College of Engineering Engineering Song Cen 1 Cheng Jin Wu 2 Zhi Li 3 Yan Shang 4 Chenfeng Li 0000-0003-0441-211X 5 0051526-26092019094254.pdf cen2019.pdf 2019-09-26T09:42:54.3770000 Output 1713911 application/pdf Accepted Manuscript true 2019-09-26T00:00:00.0000000 true eng
title Some advances in high-performance finite element methods
spellingShingle Some advances in high-performance finite element methods
Chenfeng Li
title_short Some advances in high-performance finite element methods
title_full Some advances in high-performance finite element methods
title_fullStr Some advances in high-performance finite element methods
title_full_unstemmed Some advances in high-performance finite element methods
title_sort Some advances in high-performance finite element methods
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Song Cen
Cheng Jin Wu
Zhi Li
Yan Shang
Chenfeng Li
format Journal article
container_title Engineering Computations
container_volume ahead-of-print
container_issue ahead-of-print
publishDate 2019
institution Swansea University
issn 0264-4401
doi_str_mv 10.1108/EC-10-2018-0479
college_str College of Engineering
hierarchytype
hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
active_str 0
description PurposeThe purpose of this paper is to give a review on the newest developments of high-performance finite element methods (FEMs), and exhibit the recent contributions achieved by the authors’ group, especially showing some breakthroughs against inherent difficulties existing in the traditional FEM for a long time.Design/methodology/approachThree kinds of new FEMs are emphasized and introduced, including the hybrid stress-function element method, the hybrid displacement-function element method for Mindlin–Reissner plate and the improved unsymmetric FEM. The distinguished feature of these three methods is that they all apply the fundamental analytical solutions of elasticity expressed in different coordinates as their trial functions.FindingsThe new FEMs show advantages from both analytical and numerical approaches. All the models exhibit outstanding capacity for resisting various severe mesh distortions, and even perform well when other models cannot work. Some difficulties in the history of FEM are also broken through, such as the limitations defined by MacNeal’s theorem and the edge-effect problems of Mindlin–Reissner plate.Originality/valueThese contributions possess high value for solving the difficulties in engineering computations, and promote the progress of FEM.
published_date 2019-10-07T04:05:09Z
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score 10.898776