https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Itner_et_al_2021aItner et al 2021a - Revision history2026-04-22T18:55:41ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Itner_et_al_2021a&diff=219260&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 886819792 to Itner et al 2021a2021-03-11T16:12:05Z<p>Scipediacontent moved page <a href="/public/Draft_Content_886819792" class="mw-redirect" title="Draft Content 886819792">Draft Content 886819792</a> to <a href="/public/Itner_et_al_2021a" title="Itner et al 2021a">Itner et al 2021a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Itner_et_al_2021a&diff=219259&oldid=prevScipediacontent: Created page with "== Abstract == The scaled boundary finite element method (SBFEM) excels as a tool for numerical analysis at particular problem setups where the analytical solution in the sca..."2021-03-11T16:12:02Z<p>Created page with "== Abstract == The scaled boundary finite element method (SBFEM) excels as a tool for numerical analysis at particular problem setups where the analytical solution in the sca..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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The scaled boundary finite element method (SBFEM) excels as a tool for numerical analysis at particular problem setups where the analytical solution in the scaling direction can be exploited to improve computational efficiency by reducing the number of required degrees of freedom (DOF). This is especially the case for simulating axisymmetric waveguides in the high-frequency range, allowing a significant decrease of computational costs (both memory and CPU time). Then, only the radial direction in a cylindrical coordinate system is discretized and the axial direction is solved analytically. A full threedimensional formulation is possible via the Fourier transform to include asymmetries. This contribution presents such an axisymmetric formulation, which is extended to allow the definition of circumferential as well as arbitrarily shaped dynamic boundary conditions (BCs). Furthermore, the required number of DOF depends on the frequency content. Hierarchical shape functions allow to dynamically adapt the DOF, further increasing efficiency. It will be shown that the results are in good agreement with standard finite element procedures, while greatly reducing computational time.<br />
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== Full document ==<br />
<pdf>Media:Draft_Content_886819792p2734.pdf</pdf></div>Scipediacontent