Natural element method

<h2 id="applications">Applications</h2>
<p>When the simulation is dynamic, this method prevents the elements to be ill-formed, having the possibility to easily redefine them at each time step depending on the geometry.
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<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Sukumar, N.; Moran, B.; Belytschko, T. (21 June 1998). "The natural element method in solid mechanics". International Journal for Numerical Methods in Engineering. 43 (5): 839–887. Bibcode:1998IJNME..43..839S. doi:10.1002/(SICI)1097-0207(19981115)43:5<839::AID-NME423>3.0.CO;2-R. <a href="/wiki/Bibcode_(identifier)" target="_blank">/wiki/Bibcode_(identifier)</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>J. Yvonnet; D. Ryckelynck; P. Lorong; F. Chinesta (2004). "A new extension of the natural element method for non-convex and discontinuous problems: the constrained natural element method (C-NEM)" (PDF). International Journal for Numerical Methods in Engineering. 60 (8): 1451–1474. Bibcode:2004IJNME..60.1451Y. doi:10.1002/nme.1016. S2CID 122887431. <a href="https://hal.archives-ouvertes.fr/hal-01508695/file/YRLC.pdf" target="_blank">https://hal.archives-ouvertes.fr/hal-01508695/file/YRLC.pdf</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>Lee, Hw; Cho, Jr (April 2019). "Large deformation analysis of elastic bodies by nonlinear Petrov–Galerkin natural element method". Advances in Mechanical Engineering. 11 (4): 168781401984629. doi:10.1177/1687814019846293. <a href="https://doi.org/10.1177%2F1687814019846293" target="_blank">https://doi.org/10.1177%2F1687814019846293</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
<li id="fn:4"><p>Lu, Ping; Shu, Yang; Lu, Dahai; Jiang, Kaiyong; Liu, Bin; Huang, Changbiao (2017). "Research on Natural Element Method and the application to simulate metal forming processes". Procedia Engineering. 207: 1087–1092. doi:10.1016/j.proeng.2017.10.1135. <a href="https://doi.org/10.1016%2Fj.proeng.2017.10.1135" target="_blank">https://doi.org/10.1016%2Fj.proeng.2017.10.1135</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li>
<li id="fn:5"><p>"What is the difference between nem (natural element method) and cnem (constrained natural element method)?". ResearchGate. Retrieved 2019-07-15.[unreliable source?] <a href="https://www.researchgate.net/post/What_is_the_difference_between_nem_natural_element_method_and_cnem_constrained_natural_element_method" target="_blank">https://www.researchgate.net/post/What_is_the_difference_between_nem_natural_element_method_and_cnem_constrained_natural_element_method</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li>
<li id="fn:6"><p>Botelho, D. P.; Marechal, Y.; Ramdane, B. (November 2016). "Vector interpolation on natural element method: Mesh sensitivity analysis". 2016 IEEE Conference on Electromagnetic Field Computation (CEFC). Institute of Electrical and Electronics Engineers. p. 1. doi:10.1109/CEFC.2016.7816353. ISBN 978-1-5090-1032-5. S2CID 27851390. <a href="978-1-5090-1032-5" target="_blank">978-1-5090-1032-5</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li>
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Natural element method open-in-new

Natural element method