Pub Date : 2022-10-28DOI: 10.1007/s00211-023-01367-7
T. Führer, M. Karkulik
{"title":"Least-squares finite elements for distributed optimal control problems","authors":"T. Führer, M. Karkulik","doi":"10.1007/s00211-023-01367-7","DOIUrl":"https://doi.org/10.1007/s00211-023-01367-7","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"154 1","pages":"409 - 442"},"PeriodicalIF":2.1,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44444097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-21DOI: 10.1007/s00211-023-01361-z
Yao Cheng, M. Stynes
{"title":"The local discontinuous Galerkin method for a singularly perturbed convection–diffusion problem with characteristic and exponential layers","authors":"Yao Cheng, M. Stynes","doi":"10.1007/s00211-023-01361-z","DOIUrl":"https://doi.org/10.1007/s00211-023-01361-z","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"154 1","pages":"283-318"},"PeriodicalIF":2.1,"publicationDate":"2022-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46562265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-17DOI: 10.1007/s00211-022-01316-w
Chiara Fuda, R. Campagna, K. Hormann
{"title":"On the numerical stability of linear barycentric rational interpolation","authors":"Chiara Fuda, R. Campagna, K. Hormann","doi":"10.1007/s00211-022-01316-w","DOIUrl":"https://doi.org/10.1007/s00211-022-01316-w","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"152 1","pages":"761 - 786"},"PeriodicalIF":2.1,"publicationDate":"2022-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46314594","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-14DOI: 10.1007/s00211-022-01315-x
P. Ciarlet
{"title":"On the approximation of electromagnetic fields by edge finite elements—Part 4: analysis of the model with one sign-changing coefficient","authors":"P. Ciarlet","doi":"10.1007/s00211-022-01315-x","DOIUrl":"https://doi.org/10.1007/s00211-022-01315-x","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"152 1","pages":"223 - 257"},"PeriodicalIF":2.1,"publicationDate":"2022-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44397851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-29DOI: 10.1007/s00211-022-01312-0
Cu Cui, Qinghui Zhang, U. Banerjee, I. Babuska
{"title":"Stable generalized finite element method (SGFEM) for three-dimensional crack problems","authors":"Cu Cui, Qinghui Zhang, U. Banerjee, I. Babuska","doi":"10.1007/s00211-022-01312-0","DOIUrl":"https://doi.org/10.1007/s00211-022-01312-0","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"152 1","pages":"475-509"},"PeriodicalIF":2.1,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42748246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-14DOI: 10.1007/s00211-022-01309-9
Jiashun Hu, Buyang Li
{"title":"Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow","authors":"Jiashun Hu, Buyang Li","doi":"10.1007/s00211-022-01309-9","DOIUrl":"https://doi.org/10.1007/s00211-022-01309-9","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"152 1","pages":"127 - 181"},"PeriodicalIF":2.1,"publicationDate":"2022-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45840335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-10DOI: 10.1007/s00211-022-01307-x
Z. Dostál, T. Brzobohatý, O. Vlach, L. Ríha
{"title":"On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition","authors":"Z. Dostál, T. Brzobohatý, O. Vlach, L. Ríha","doi":"10.1007/s00211-022-01307-x","DOIUrl":"https://doi.org/10.1007/s00211-022-01307-x","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"44 S1","pages":"41 - 66"},"PeriodicalIF":2.1,"publicationDate":"2022-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41258414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}