{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T16:25:12Z","timestamp":1779294312707,"version":"3.51.4"},"reference-count":23,"publisher":"American Mathematical Society (AMS)","issue":"327","license":[{"start":{"date-parts":[[2021,10,8]],"date-time":"2021-10-08T00:00:00Z","timestamp":1633651200000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1913133"],"award-info":[{"award-number":["1913133"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    The aim of this paper is to derive pointwise global and local best approximation type error estimates for biharmonic problems using the\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper C Superscript 0\">\n                        <mml:semantics>\n                          <mml:msup>\n                            <mml:mi>C<\/mml:mi>\n                            <mml:mn>0<\/mml:mn>\n                          <\/mml:msup>\n                          <mml:annotation encoding=\"application\/x-tex\">C^0<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    interior penalty method. The analysis uses the technique of dyadic decompositions of the domain, which is assumed to be a convex polygon. The proofs require local energy estimates and new pointwise Green\u2019s function estimates for the continuous problem which has independent interest.\n                  <\/p>","DOI":"10.1090\/mcom\/3596","type":"journal-article","created":{"date-parts":[[2020,9,2]],"date-time":"2020-09-02T18:48:18Z","timestamp":1599072498000},"page":"41-63","source":"Crossref","is-referenced-by-count":4,"title":["Pointwise error estimates for \ud835\udc36\u2070 interior penalty approximation of biharmonic problems"],"prefix":"10.1090","volume":"90","author":[{"given":"D.","family":"Leykekhman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2020,10,8]]},"reference":[{"issue":"3","key":"1","doi-asserted-by":"publisher","first-page":"992","DOI":"10.1137\/090778018","article-title":"A priori mesh grading for an elliptic problem with Dirac right-hand side","volume":"49","author":"Apel, Thomas","year":"2011","journal-title":"SIAM J. 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