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A Shallow Ritz Method for Elliptic Problems with Singular Sources

A Shallow Ritz Method for Elliptic Problems with Singular Sources

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2555488190

A Shallow Ritz Method for Elliptic Problems with Singular Sources

About this item

Full title

A Shallow Ritz Method for Elliptic Problems with Singular Sources

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2022-07

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

More information

Scope and Contents

Contents

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...

Alternative Titles

Full title

A Shallow Ritz Method for Elliptic Problems with Singular Sources

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2555488190

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2555488190

Other Identifiers

E-ISSN

2331-8422

DOI

10.48550/arxiv.2107.12013

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