A Shallow Ritz Method for Elliptic Problems with Singular Sources
A Shallow Ritz Method for Elliptic Problems with Singular Sources
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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In this paper, a shallow Ritz-type neural network for solving elliptic equations with delta function singular sources on an interface is developed. There are three novel features in the present work; namely, (i) the delta function singularity is naturally removed, (ii) level set function is introduced as a feature input, (iii) it is completely shal...
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A Shallow Ritz Method for Elliptic Problems with Singular Sources
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TN_cdi_proquest_journals_2555488190
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2555488190
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E-ISSN
2331-8422
DOI
10.48550/arxiv.2107.12013