On the Unimportance of the Number and the Type of Elements While Solving Certain Problems

P. Kirana Kumara; Kota Ramakanth Yasaswi

doi:10.1007/978-981-16-3934-0_17

On the Unimportance of the Number and the Type of Elements While Solving Certain Problems

P. Kirana Kumara, Kota Ramakanth Yasaswi

Department of Mechanical & Industrial Engineering Manipal Institute of Technology, Manipal

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This work tries to demonstrate that the type of elements and the number of elements used are unimportant, while solving certain problems by using the finite element method. The idea is demonstrated by taking two 1D examples and one 3D example. All the three examples show that the results are practically independent of the number or the type of the elements used, for the problems considered. Above fact could have useful implications for the real-time simulation of biological organs for surgical simulation.

Original language	English
Title of host publication	Recent Advances in Manufacturing Engineering and Processes - Proceedings of ICMEP 2021
Editors	Ramesh K. Agarwal
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	145-152
Number of pages	8
ISBN (Print)	9789811639333
DOIs	https://doi.org/10.1007/978-981-16-3934-0_17
Publication status	Published - 2022
Event	10th International Conference on Manufacturing Engineering and Processes, ICMEP 2021 - Virtual, Online Duration: 11-03-2021 → 14-03-2021

Publication series

Name	Lecture Notes in Mechanical Engineering
ISSN (Print)	2195-4356
ISSN (Electronic)	2195-4364

Conference

Conference	10th International Conference on Manufacturing Engineering and Processes, ICMEP 2021
City	Virtual, Online
Period	11-03-21 → 14-03-21

All Science Journal Classification (ASJC) codes

Automotive Engineering
Aerospace Engineering
Mechanical Engineering
Fluid Flow and Transfer Processes

Access to Document

10.1007/978-981-16-3934-0_17

Cite this

Kirana Kumara, P., & Yasaswi, K. R. (2022). On the Unimportance of the Number and the Type of Elements While Solving Certain Problems. In R. K. Agarwal (Ed.), Recent Advances in Manufacturing Engineering and Processes - Proceedings of ICMEP 2021 (pp. 145-152). (Lecture Notes in Mechanical Engineering). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-16-3934-0_17

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abstract = "This work tries to demonstrate that the type of elements and the number of elements used are unimportant, while solving certain problems by using the finite element method. The idea is demonstrated by taking two 1D examples and one 3D example. All the three examples show that the results are practically independent of the number or the type of the elements used, for the problems considered. Above fact could have useful implications for the real-time simulation of biological organs for surgical simulation.",

author = "{Kirana Kumara}, P. and Yasaswi, {Kota Ramakanth}",

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Kirana Kumara, P & Yasaswi, KR 2022, On the Unimportance of the Number and the Type of Elements While Solving Certain Problems. in RK Agarwal (ed.), Recent Advances in Manufacturing Engineering and Processes - Proceedings of ICMEP 2021. Lecture Notes in Mechanical Engineering, Springer Science and Business Media Deutschland GmbH, pp. 145-152, 10th International Conference on Manufacturing Engineering and Processes, ICMEP 2021, Virtual, Online, 11-03-21. https://doi.org/10.1007/978-981-16-3934-0_17

On the Unimportance of the Number and the Type of Elements While Solving Certain Problems. / Kirana Kumara, P.; Yasaswi, Kota Ramakanth.

Recent Advances in Manufacturing Engineering and Processes - Proceedings of ICMEP 2021. ed. / Ramesh K. Agarwal. Springer Science and Business Media Deutschland GmbH, 2022. p. 145-152 (Lecture Notes in Mechanical Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - This work tries to demonstrate that the type of elements and the number of elements used are unimportant, while solving certain problems by using the finite element method. The idea is demonstrated by taking two 1D examples and one 3D example. All the three examples show that the results are practically independent of the number or the type of the elements used, for the problems considered. Above fact could have useful implications for the real-time simulation of biological organs for surgical simulation.

AB - This work tries to demonstrate that the type of elements and the number of elements used are unimportant, while solving certain problems by using the finite element method. The idea is demonstrated by taking two 1D examples and one 3D example. All the three examples show that the results are practically independent of the number or the type of the elements used, for the problems considered. Above fact could have useful implications for the real-time simulation of biological organs for surgical simulation.

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Kirana Kumara P, Yasaswi KR. On the Unimportance of the Number and the Type of Elements While Solving Certain Problems. In Agarwal RK, editor, Recent Advances in Manufacturing Engineering and Processes - Proceedings of ICMEP 2021. Springer Science and Business Media Deutschland GmbH. 2022. p. 145-152. (Lecture Notes in Mechanical Engineering). doi: 10.1007/978-981-16-3934-0_17

On the Unimportance of the Number and the Type of Elements While Solving Certain Problems

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