{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T04:22:05Z","timestamp":1768537325783,"version":"3.49.0"},"reference-count":2,"publisher":"Walter de Gruyter GmbH","issue":"4","license":[{"start":{"date-parts":[[2020,9,9]],"date-time":"2020-09-09T00:00:00Z","timestamp":1599609600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>For a spatially periodic convection-diffusion problem, we analyze a time stepping method based on Lie splitting of a spatially semidiscrete finite element solution on time steps of length <jats:italic>k<\/jats:italic>, using the backward Euler method for the diffusion part and a stabilized explicit forward Euler approximation on <jats:inline-formula id=\"j_cmam-2020-0128_ineq_9999\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>m<\/m:mi>\n                              <m:mo>\u2265<\/m:mo>\n                              <m:mn>1<\/m:mn>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_cmam-2020-0128_eq_0239.png\"\/>\n                        <jats:tex-math>{m\\geq 1}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> intervals of length <jats:inline-formula id=\"j_cmam-2020-0128_ineq_9998\">\n                     <jats:alternatives>\n                        <m:math xmlns:m=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                           <m:mrow>\n                              <m:mi>k<\/m:mi>\n                              <m:mo>\/<\/m:mo>\n                              <m:mi>m<\/m:mi>\n                           <\/m:mrow>\n                        <\/m:math>\n                        <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/j_cmam-2020-0128_eq_0232.png\"\/>\n                        <jats:tex-math>{k\/m}<\/jats:tex-math>\n                     <\/jats:alternatives>\n                  <\/jats:inline-formula> for the convection part.\nThis complements earlier work on time splitting of the problem in a finite difference context.<\/jats:p>","DOI":"10.1515\/cmam-2020-0128","type":"journal-article","created":{"date-parts":[[2020,9,11]],"date-time":"2020-09-11T06:00:01Z","timestamp":1599804001000},"page":"717-725","source":"Crossref","is-referenced-by-count":4,"title":["A Finite Element Splitting Method for a Convection-Diffusion Problem"],"prefix":"10.1515","volume":"20","author":[{"given":"Vidar","family":"Thom\u00e9e","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences , Chalmers University of Technology ; and University of Gothenburg, SE\u2013412 96 Gothenburg , Sweden"}]}],"member":"374","published-online":{"date-parts":[[2020,9,9]]},"reference":[{"key":"2023033110450927451_j_cmam-2020-0128_ref_001","doi-asserted-by":"crossref","unstructured":"A. K.  Pani, V.  Thome\u00e9e and A. S.  Vasudeva Murthy,\nA first order explicit-implicit splitting method for a convection-diffusion problem,\nComput. Methods Appl. Math. (2020), 10.1515\/cmam-2020-0009.","DOI":"10.1515\/cmam-2020-0009"},{"key":"2023033110450927451_j_cmam-2020-0128_ref_002","unstructured":"V.  Thom\u00e9e,\nGalerkin Finite Element Methods for Parabolic Problems, 2nd ed.,\nSpringer, Berlin, 2006."}],"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/20\/4\/article-p717.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2020-0128\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2020-0128\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T13:01:42Z","timestamp":1680267702000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2020-0128\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,9]]},"references-count":2,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2020,8,5]]},"published-print":{"date-parts":[[2020,10,1]]}},"alternative-id":["10.1515\/cmam-2020-0128"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2020-0128","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,9]]}}}