{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T19:16:15Z","timestamp":1773861375606,"version":"3.50.1"},"reference-count":17,"publisher":"Walter de Gruyter GmbH","issue":"1","funder":[{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["NFN S117"],"award-info":[{"award-number":["NFN S117"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,1,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper we present a space-time isogeometric analysis scheme for the discretization of\nparabolic evolution equations with diffusion coefficients depending on both time and space variables.\nThe problem is considered in a space-time cylinder in <jats:inline-formula id=\"j_cmam-2018-0024_ineq_9999_w2aab3b7e1096b1b6b1aab1c14b1b1Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:msup>\n                              <m:mi>\u211d<\/m:mi>\n                              <m:mrow>\n                                 <m:mi>d<\/m:mi>\n                                 <m:mo>+<\/m:mo>\n                                 <m:mn>1<\/m:mn>\n                              <\/m:mrow>\n                           <\/m:msup>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_cmam-2018-0024_eq_0187.png\"\/>\n                        <jats:tex-math>{\\mathbb{R}^{d+1}}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>, with <jats:inline-formula id=\"j_cmam-2018-0024_ineq_9998_w2aab3b7e1096b1b6b1aab1c14b1b3Aa\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>d<\/m:mi>\n                              <m:mo>=<\/m:mo>\n                              <m:mrow>\n                                 <m:mn>2<\/m:mn>\n                                 <m:mo>,<\/m:mo>\n                                 <m:mn>3<\/m:mn>\n                              <\/m:mrow>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_cmam-2018-0024_eq_0226.png\"\/>\n                        <jats:tex-math>{d=2,3}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula>, and is discretized using higher-order and highly-smooth spline spaces. This makes the matrix formation task very challenging from a computational point of view. We overcome this problem by introducing a low-rank decoupling of the operator into space and time components. Numerical experiments demonstrate the efficiency of this approach.<\/jats:p>","DOI":"10.1515\/cmam-2018-0024","type":"journal-article","created":{"date-parts":[[2018,7,12]],"date-time":"2018-07-12T16:40:54Z","timestamp":1531413654000},"page":"123-136","source":"Crossref","is-referenced-by-count":10,"title":["Low-Rank Space-Time Decoupled Isogeometric Analysis for Parabolic Problems with Varying Coefficients"],"prefix":"10.1515","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7135-1084","authenticated-orcid":false,"given":"Angelos","family":"Mantzaflaris","sequence":"first","affiliation":[{"name":"Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3339-0079","authenticated-orcid":false,"given":"Felix","family":"Scholz","sequence":"additional","affiliation":[{"name":"Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria"}]},{"given":"Ioannis","family":"Toulopoulos","sequence":"additional","affiliation":[{"name":"Johann Radon Institute for Computational and Applied Mathematics (RICAM) , Austrian Academy of Sciences , Altenberger Stra\u00dfe 69, A-4040 Linz , Austria"}]}],"member":"374","published-online":{"date-parts":[[2018,7,7]]},"reference":[{"key":"2023033110133777796_j_cmam-2018-0024_ref_001_w2aab3b7e1096b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"L.  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