{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T08:34:51Z","timestamp":1743064491781,"version":"3.40.3"},"publisher-location":"Cham","reference-count":9,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030410315"},{"type":"electronic","value":"9783030410322"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-41032-2_68","type":"book-chapter","created":{"date-parts":[[2020,2,13]],"date-time":"2020-02-13T22:02:28Z","timestamp":1581631348000},"page":"593-600","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Space-Time Finite Element Methods for Parabolic Initial-Boundary Value Problems with Non-smooth Solutions"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3797-7475","authenticated-orcid":false,"given":"Ulrich","family":"Langer","sequence":"first","affiliation":[]},{"given":"Andreas","family":"Schafelner","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,2,13]]},"reference":[{"key":"68_CR1","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/j.cam.2016.04.029","volume":"310","author":"RE Bank","year":"2017","unstructured":"Bank, R.E., Vassilevski, P., Zikatanov, L.: Arbitrary dimension convection-diffusion scheme for space-time discretizations. J. Comput. Appl. Math. 310, 19\u201331 (2017)","journal-title":"J. Comput. Appl. Math."},{"key":"68_CR2","series-title":"Texts in Applied Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-75934-0","volume-title":"The Mathematical Theory of Finite Element Methods","author":"SC Brenner","year":"2008","unstructured":"Brenner, S.C., Scott, L.R.: The Mathematical Theory of Finite Element Methods. Texts in Applied Mathematics, vol. 15, 3rd edn. Springer, New York (2008). https:\/\/doi.org\/10.1007\/978-0-387-75934-0","edition":"3"},{"issue":"R\u20132","key":"68_CR3","first-page":"77","volume":"9","author":"P Cl\u00e9ment","year":"1975","unstructured":"Cl\u00e9ment, P.: Approximation by finite element functions using local regularization. Rev. Fran\u00e7aise Automat. Informat. Recherche Op\u00e9rationnelle S\u00e9r 9(R\u20132), 77\u201384 (1975)","journal-title":"Rev. Fran\u00e7aise Automat. Informat. Recherche Op\u00e9rationnelle S\u00e9r"},{"issue":"3","key":"68_CR4","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/s10092-018-0275-2","volume":"55","author":"D Devaud","year":"2018","unstructured":"Devaud, D., Schwab, C.: Space-time hp-approximation of parabolic equations. Calcolo 55(3), 35 (2018)","journal-title":"Calcolo"},{"key":"68_CR5","doi-asserted-by":"publisher","first-page":"3533","DOI":"10.1016\/j.jde.2017.04.036","volume":"263","author":"S Fackler","year":"2017","unstructured":"Fackler, S.: Non-autonomous maximal regularity for forms given by elliptic operators of bounded variation. J. Differ. Equ. 263, 3533\u20133549 (2017)","journal-title":"J. Differ. Equ."},{"key":"68_CR6","series-title":"Applied Mathematical Sciences","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4317-3","volume-title":"The Boundary Value Problems of Mathematical Physics","author":"OA Ladyzhenskaya","year":"1985","unstructured":"Ladyzhenskaya, O.A.: The Boundary Value Problems of Mathematical Physics. Applied Mathematical Sciences, vol. 49. Springer-Verlag, New York (1985). https:\/\/doi.org\/10.1007\/978-1-4757-4317-3"},{"key":"68_CR7","series-title":"Lecture Notes in Computational Science and Engineering","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/978-3-030-14244-5_13","volume-title":"Advanced Finite Element Methods with Applications","author":"U Langer","year":"2019","unstructured":"Langer, U., Neum\u00fcller, M., Schafelner, A.: Space-time finite element methods for parabolic evolution problems with variable coefficients. In: Apel, T., Langer, U., Meyer, A., Steinbach, O. (eds.) FEM 2017. LNCSE, vol. 128, pp. 247\u2013275. Springer, Cham (2019). https:\/\/doi.org\/10.1007\/978-3-030-14244-5_13"},{"issue":"4","key":"68_CR8","doi-asserted-by":"publisher","first-page":"551","DOI":"10.1515\/cmam-2015-0026","volume":"15","author":"O Steinbach","year":"2015","unstructured":"Steinbach, O.: Space-time finite element methods for parabolic problems. Comput. Methods Appl. Math. 15(4), 551\u2013566 (2015)","journal-title":"Comput. Methods Appl. Math."},{"key":"68_CR9","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1515\/9783110548488-007","volume-title":"Space-Time Methods: Application to Partial Differential Equations, Radon Series on Computational and Applied Mathematics","author":"O Steinbach","year":"2019","unstructured":"Steinbach, O., Yang, H.: Space-time finite element methods for parabolic evolution equations: discretization, a posteriori error estimation, adaptivity and solution. In: Langer, U., Steinbach, O. (eds.) Space-Time Methods: Application to Partial Differential Equations, Radon Series on Computational and Applied Mathematics, vol. 25, pp. 207\u2013248. de Gruyter, Berlin (2019)"}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-41032-2_68","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,12,9]],"date-time":"2020-12-09T16:48:25Z","timestamp":1607532505000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-41032-2_68"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030410315","9783030410322"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-41032-2_68","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"13 February 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"LSSC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Large-Scale Scientific Computing","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Sozopol","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Bulgaria","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"10 June 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 June 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"lssc2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/parallel.bas.bg\/Conferences\/SciCom19\/index.html","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}