https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Drzisga_et_al_2020aDrzisga et al 2020a - Revision history2026-05-03T01:05:16ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Drzisga_et_al_2020a&diff=153161&oldid=prevCecilia.soriano: Cecilia.soriano moved page Draft Soriano 247437310 to Drzisga et al 2020a2020-02-21T09:18:10Z<p>Cecilia.soriano moved page <a href="/public/Draft_Soriano_247437310" class="mw-redirect" title="Draft Soriano 247437310">Draft Soriano 247437310</a> to <a href="/public/Drzisga_et_al_2020a" title="Drzisga et al 2020a">Drzisga et al 2020a</a></p>
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</td></tr></table>Cecilia.sorianohttps://www.scipedia.com/wd/index.php?title=Drzisga_et_al_2020a&diff=153160&oldid=prevCecilia.soriano: Created page with " == Abstract == A new methodology in isogeometric analysis (IGA) is presented. This methodology delivers low-cost variable-scale approximations (surrogates) of the matrices w..."2020-02-21T09:18:06Z<p>Created page with " == Abstract == A new methodology in isogeometric analysis (IGA) is presented. This methodology delivers low-cost variable-scale approximations (surrogates) of the matrices w..."</p>
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== Abstract ==<br />
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A new methodology in isogeometric analysis (IGA) is presented. This methodology delivers low-cost variable-scale approximations (surrogates) of the matrices which IGA conventionally requires to be computed from element-scale quadrature formulas. To generate surrogate matrices, quadrature must only be performed on certain elements in the computational domain. This, in turn, determines only a subset of the entries in the final matrix.The remaining matrix entries are computed by a simple B-spline interpolation procedure. Poisson’s equation, membrane vibration, plate bending, and Stokes’ flow problems are studied. In these problems, the use of surrogate matrices has a negligible impact on solution accuracy. Because only a small fraction of the original quadrature must be performed, we are able to report beyond a fifty-fold reduction in overall assembly time in the same software. The capacity for even further speed-ups is clearly demonstrated. The implementation used here was achieved by a small number of modifications to the open-source IGA software library GeoPDEs. Similar modifications could be made to other present-day software libraries.<br />
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== Full document ==<br />
<pdf>Media:Draft_Soriano_247437310-1232-document.pdf</pdf></div>Cecilia.soriano