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Eigensolution analysis of immersed boundary method based on volume penalization: applications to high-order schemes [article]

Jiaqing Kou, Aurelio Hurtado-de-Mendoza, Saumitra Joshi, Soledad Le Clainche, Esteban Ferrer
<span title="2021-07-21">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This paper presents eigensolution and non-modal analyses for immersed boundary methods (IBMs) based on volume penalization for the linear advection equation.  ...  From a stability point view, the selection of penalty parameter can be analyzed based on a fully-discrete analysis, which leads to practical guidelines on the selection of penalization parameter.  ...  Conclusions This paper applies eigensolution and non-modal analyses for the immersed boundary method in the advection equation, where a high-order flux reconstruction scheme based on volume penalization  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2107.10155v1">arXiv:2107.10155v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/albrntjxm5b6rcmxe2fhosskr4">fatcat:albrntjxm5b6rcmxe2fhosskr4</a> </span>
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Cognitive Constructivism and the Epistemic Significance of Sharp Statistical Hypotheses in Natural Sciences [article]

J.M. Stern
<span title="2020-10-26">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This metaphor has proven to be very useful, leading the development of Bayesian statistics since its XX-th century revival, rooted on the work of de Finetti, Savage and others.  ...  We believe that this alternative perspective, complementary to the one ofered by decision theory, can provide powerful insights and make pertinent contributions in the context of scientific research.  ...  methods based on decision theoretic analysis.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1006.5471v8">arXiv:1006.5471v8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/v375ybolz5bkbe6ordmjnnulhi">fatcat:v375ybolz5bkbe6ordmjnnulhi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201030141638/https://arxiv.org/pdf/1006.5471v8.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1006.5471v8" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>