{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:03:30Z","timestamp":1776841410803,"version":"3.51.2"},"reference-count":41,"publisher":"American Mathematical Society (AMS)","issue":"360","license":[{"start":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T00:00:00Z","timestamp":1781308800000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/501100001412","name":"Council of Scientific and Industrial Research, India","doi-asserted-by":"publisher","award":["PDF\/2021\/000444"],"award-info":[{"award-number":["PDF\/2021\/000444"]}],"id":[{"id":"10.13039\/501100001412","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001412","name":"Council of Scientific and Industrial Research, India","doi-asserted-by":"publisher","award":["DST\/INSPIRE\/04\/2023\/000257"],"award-info":[{"award-number":["DST\/INSPIRE\/04\/2023\/000257"]}],"id":[{"id":"10.13039\/501100001412","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology, India","doi-asserted-by":"publisher","award":["PDF\/2021\/000444"],"award-info":[{"award-number":["PDF\/2021\/000444"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology, India","doi-asserted-by":"publisher","award":["DST\/INSPIRE\/04\/2023\/000257"],"award-info":[{"award-number":["DST\/INSPIRE\/04\/2023\/000257"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology, India","doi-asserted-by":"publisher","award":["PDF\/2021\/000444"],"award-info":[{"award-number":["PDF\/2021\/000444"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology, India","doi-asserted-by":"publisher","award":["DST\/INSPIRE\/04\/2023\/000257"],"award-info":[{"award-number":["DST\/INSPIRE\/04\/2023\/000257"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    In this article, we develop a quadratic\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:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mn>0<\/mml:mn>\n                            <\/mml:mrow>\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 for the distributed optimal control problem governed by a second order elliptic partial differential equation (PDE) in nondivergence form. We derive both a priori and a posteriori error estimates. The theoretical results are illustrated by numerical experiments.\n                  <\/p>","DOI":"10.1090\/mcom\/4109","type":"journal-article","created":{"date-parts":[[2025,6,13]],"date-time":"2025-06-13T10:10:41Z","timestamp":1749809441000},"page":"1679-1718","source":"Crossref","is-referenced-by-count":0,"title":["A \ud835\udc36\u2070-IP method for distributed optimal control problem governed by a non-divergent form PDE with Cordes coefficients"],"prefix":"10.1090","volume":"95","author":[{"given":"Arnab","family":"Pal","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thirupathi","family":"Gudi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pratibha","family":"Shakya","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2025,6,13]]},"reference":[{"issue":"4","key":"1","doi-asserted-by":"publisher","first-page":"2898","DOI":"10.1137\/20M1329792","article-title":"A posteriori error estimates for a distributed optimal control problem of the stationary Navier-Stokes equations","volume":"59","author":"Allendes, Alejandro","year":"2021","journal-title":"SIAM J. 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