http://debianws.lexgopc.com/wiki143/index.php?action=history&feed=atom&title=Diffuse_element_methodDiffuse element method - Revision history2026-10-25T03:03:18ZRevision history for this page on the wikiMediaWiki 1.43.1http://debianws.lexgopc.com/wiki143/index.php?title=Diffuse_element_method&diff=3732143&oldid=previmported>Fadesga: /* References */2022-07-20T03:11:25Z<p><span class="autocomment">References</span></p>
<p><b>New page</b></p><div>In [[numerical analysis]] the '''diffuse element method''' ('''DEM''') or simply '''diffuse approximation''' is a [[meshfree methods|meshfree method]].<br />
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The diffuse element method was developed by B. Nayroles, G. Touzot and Pierre Villon at the Universite de Technologie de Compiegne, in 1992.<br />
It is in concept rather similar to the much older [[smoothed particle hydrodynamics]]. In the paper they describe a "diffuse approximation method", a method for [[function approximation]] from a given set of points.<br />
In fact the method boils down to the well-known [[moving least squares]] for the particular case of a global approximation (using all available data points). Using this function approximation method, [[partial differential equation]]s and thus [[fluid dynamic]] problems can be solved. For this, they coined the term diffuse element method (DEM).<br />
Advantages over [[finite element method]]s are that DEM doesn't rely on a grid, and is more precise in the evaluation of the derivatives of the reconstructed functions.<br />
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== See also ==<br />
* [[Computational fluid dynamics]]<br />
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== References ==<br />
* [https://doi.org/10.1007%2FBF00364252 Generalizing the finite element method: diffuse approximation and diffuse elements], B Nayroles, G Touzot. Pierre Villon, P, Computational Mechanics Volume 10, pp 307-318, 1992<br />
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[[Category:Numerical differential equations]]<br />
[[Category:Computational fluid dynamics]]<br />
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