Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem
We consider a fourth order, reaction-diffusion type, singularly perturbed boundary value problem, and the regularity of its solution. Specifically, we provide estimates for arbitrary order derivatves, which are explicit in the singular perturbation parameter as well as the differentiation order. Suc...
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| creator | Constantinou, P Xenophontos, C |
| description | We consider a fourth order, reaction-diffusion type, singularly perturbed
boundary value problem, and the regularity of its solution. Specifically, we
provide estimates for arbitrary order derivatves, which are explicit in the
singular perturbation parameter as well as the differentiation order. Such
estimates are needed for the numerical analysis of high order methods, e.g.hp
Finite Element Method (FEM). |
| doi_str_mv | 10.48550/arxiv.2311.06849 |
| format | Article |
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boundary value problem, and the regularity of its solution. Specifically, we
provide estimates for arbitrary order derivatves, which are explicit in the
singular perturbation parameter as well as the differentiation order. Such
estimates are needed for the numerical analysis of high order methods, e.g.hp
Finite Element Method (FEM).</description><identifier>DOI: 10.48550/arxiv.2311.06849</identifier><language>eng</language><subject>Computer Science - Numerical Analysis ; Mathematics - Classical Analysis and ODEs ; Mathematics - Numerical Analysis</subject><creationdate>2023-11</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2311.06849$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2311.06849$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Constantinou, P</creatorcontrib><creatorcontrib>Xenophontos, C</creatorcontrib><title>Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem</title><description>We consider a fourth order, reaction-diffusion type, singularly perturbed
boundary value problem, and the regularity of its solution. Specifically, we
provide estimates for arbitrary order derivatves, which are explicit in the
singular perturbation parameter as well as the differentiation order. Such
estimates are needed for the numerical analysis of high order methods, e.g.hp
Finite Element Method (FEM).</description><subject>Computer Science - Numerical Analysis</subject><subject>Mathematics - Classical Analysis and ODEs</subject><subject>Mathematics - Numerical Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81qwzAQhHXpoSR9gJ6qF7Br_ViWjiH0DwK95G5kadUIFNusrVC_fV23pxlmmGU_Qh5ZVUpd19Wzxe94K7lgrKyUluaewKG3aZmjowhfOVmM80LDgNTSKfZbkhY6As4ZO_BrlXG-0AE94Dqxbo5DX_gYQp5WR7sh997iQm82ZaAjDl2C657cBZsmePjXHTm_vpyP78Xp8-3jeDgVVjWmMJU0wgWhGAMA7RXXwBrQoqkkc53ijkvFpWea1cCdYl6ZRkBdGxdM0wmxI09_ZzfOdsR4XV9pf3nbjVf8ALiJUig</recordid><startdate>20231112</startdate><enddate>20231112</enddate><creator>Constantinou, P</creator><creator>Xenophontos, C</creator><scope>AKY</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20231112</creationdate><title>Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem</title><author>Constantinou, P ; Xenophontos, C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a679-90493cf3611eee8d628e17e837041cb62c24624d1815e2c61d6973e559cf97b33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Computer Science - Numerical Analysis</topic><topic>Mathematics - Classical Analysis and ODEs</topic><topic>Mathematics - Numerical Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Constantinou, P</creatorcontrib><creatorcontrib>Xenophontos, C</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Constantinou, P</au><au>Xenophontos, C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem</atitle><date>2023-11-12</date><risdate>2023</risdate><abstract>We consider a fourth order, reaction-diffusion type, singularly perturbed
boundary value problem, and the regularity of its solution. Specifically, we
provide estimates for arbitrary order derivatves, which are explicit in the
singular perturbation parameter as well as the differentiation order. Such
estimates are needed for the numerical analysis of high order methods, e.g.hp
Finite Element Method (FEM).</abstract><doi>10.48550/arxiv.2311.06849</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Numerical Analysis Mathematics - Classical Analysis and ODEs Mathematics - Numerical Analysis |
| title | Analytic regularity for a singularly perturbed fourth order reaction-diffusion boundary value problem |
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