Cover interpolation functions and h-enrichment in finite element method
This paper presents a method to improve the generation of meshes and the accuracy of numerical solutions of elasticity problems, in which two techniques of h-refinement and enrichment are used by interpolation cover functions. Initially, regions which possess desired accuracy are detected. Mesh impr...
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| Format: | Article |
| Language: | English |
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K. N. Toosi University of Technology
2017-09-01
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| Series: | Numerical Methods in Civil Engineering |
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| Online Access: | https://nmce.kntu.ac.ir/article_160437_39a0e1547df7b298e89aca5c74fa47a8.pdf |
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| author | H. Arzani E. Khoshbavar rad M. Ghorbanzadeh |
| author_facet | H. Arzani E. Khoshbavar rad M. Ghorbanzadeh |
| author_sort | H. Arzani |
| collection | DOAJ |
| description | This paper presents a method to improve the generation of meshes and the accuracy of numerical solutions of elasticity problems, in which two techniques of h-refinement and enrichment are used by interpolation cover functions. Initially, regions which possess desired accuracy are detected. Mesh improvment is done through h-refinement for the elements existing in those regions. Total error of the domain is thus reduced and limited to the allowable range. In order to increase the accuracy of solutions to an excellent level, the results of mesh refinement are reassessed in the next steps and the nodes exceeding the value of allowable error are determined. The method automatically improves the subdomain by increasing the order of interpolation cover functions which yields to solutions of appropriate accuracy. A comparison of solutions achieved by the proposed method with that of other methods and also the accurate solutions for linear elasticity examples proves acceptable efficiency and accuracy of the proposed method. In this research, we illustrate the power of the strategy through the solutions obtained for various problems. |
| format | Article |
| id | doaj-art-929d60300b7444da8676ccbc44f4cb28 |
| institution | OA Journals |
| issn | 2345-4296 2783-3941 |
| language | English |
| publishDate | 2017-09-01 |
| publisher | K. N. Toosi University of Technology |
| record_format | Article |
| series | Numerical Methods in Civil Engineering |
| spelling | doaj-art-929d60300b7444da8676ccbc44f4cb282025-08-20T02:34:35ZengK. N. Toosi University of TechnologyNumerical Methods in Civil Engineering2345-42962783-39412017-09-0121727910.29252/nmce.2.1.72160437Cover interpolation functions and h-enrichment in finite element methodH. Arzani0E. Khoshbavar rad1M. Ghorbanzadeh2Assistant professor, Faculty of civil engineering, Shahid Rajaee Teacher Training University, Lavizan, Tehran, IranPh.D. Student., Department of Civil Engineering, Shahid Rajaee Teacher Training University, Lavizan, Tehran, IranM.Sc. Graduate Student, Department of Civil Engineering, Shahid Rajaee Teacher Training University, Lavizan, Tehran, Iran.This paper presents a method to improve the generation of meshes and the accuracy of numerical solutions of elasticity problems, in which two techniques of h-refinement and enrichment are used by interpolation cover functions. Initially, regions which possess desired accuracy are detected. Mesh improvment is done through h-refinement for the elements existing in those regions. Total error of the domain is thus reduced and limited to the allowable range. In order to increase the accuracy of solutions to an excellent level, the results of mesh refinement are reassessed in the next steps and the nodes exceeding the value of allowable error are determined. The method automatically improves the subdomain by increasing the order of interpolation cover functions which yields to solutions of appropriate accuracy. A comparison of solutions achieved by the proposed method with that of other methods and also the accurate solutions for linear elasticity examples proves acceptable efficiency and accuracy of the proposed method. In this research, we illustrate the power of the strategy through the solutions obtained for various problems.https://nmce.kntu.ac.ir/article_160437_39a0e1547df7b298e89aca5c74fa47a8.pdfmesh refinementenriched finite elementsmesh generationinterpolation cover functionsadaptive analysis |
| spellingShingle | H. Arzani E. Khoshbavar rad M. Ghorbanzadeh Cover interpolation functions and h-enrichment in finite element method Numerical Methods in Civil Engineering mesh refinement enriched finite elements mesh generation interpolation cover functions adaptive analysis |
| title | Cover interpolation functions and h-enrichment in finite element method |
| title_full | Cover interpolation functions and h-enrichment in finite element method |
| title_fullStr | Cover interpolation functions and h-enrichment in finite element method |
| title_full_unstemmed | Cover interpolation functions and h-enrichment in finite element method |
| title_short | Cover interpolation functions and h-enrichment in finite element method |
| title_sort | cover interpolation functions and h enrichment in finite element method |
| topic | mesh refinement enriched finite elements mesh generation interpolation cover functions adaptive analysis |
| url | https://nmce.kntu.ac.ir/article_160437_39a0e1547df7b298e89aca5c74fa47a8.pdf |
| work_keys_str_mv | AT harzani coverinterpolationfunctionsandhenrichmentinfiniteelementmethod AT ekhoshbavarrad coverinterpolationfunctionsandhenrichmentinfiniteelementmethod AT mghorbanzadeh coverinterpolationfunctionsandhenrichmentinfiniteelementmethod |