https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Krowiak_2021aKrowiak 2021a - Revision history2026-04-22T18:54:18ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Krowiak_2021a&diff=219834&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 381703870 to Krowiak 2021a2021-03-11T16:37:00Z<p>Scipediacontent moved page <a href="/public/Draft_Content_381703870" class="mw-redirect" title="Draft Content 381703870">Draft Content 381703870</a> to <a href="/public/Krowiak_2021a" title="Krowiak 2021a">Krowiak 2021a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Krowiak_2021a&diff=219833&oldid=prevScipediacontent: Created page with "== Abstract == The paper deals with the use of a kind of meshless method to solve the problem with material discontinuity on an interface. Such a problem is described by a di..."2021-03-11T16:36:57Z<p>Created page with "== Abstract == The paper deals with the use of a kind of meshless method to solve the problem with material discontinuity on an interface. Such a problem is described by a di..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
<br />
The paper deals with the use of a kind of meshless method to solve the problem with<br />
material discontinuity on an interface. Such a problem is described by a differential equation<br />
with discontinuous coefficients. To solve the problem, the abovementioned method is<br />
associated with the subdomain approach that divides the whole domain into subdomains, in<br />
which the problem is continuous. To accurately address the analyzed problem, proper continuity<br />
conditions are imposed on the interface. The Gaussian kernel, which belongs to the family of<br />
infinitely smooth radial basis functions, is taken into consideration as the basis function for the<br />
method. It is known that this type of method can provide very high rate of convergence and<br />
high accuracy but it suffers from instability. To avoid the instability, some recent advances in<br />
kernel methods, based on Mercer’s theorem, are involved in the present paper. The usefulness<br />
of the approaches are shown by benchmark problems described by ordinary as well as partial<br />
differential equations.<br />
<br />
== Full document ==<br />
<pdf>Media:Draft_Content_381703870p5272.pdf</pdf></div>Scipediacontent