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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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}
ously, and the available memory space is therefore used rather uneconomically. Furthermore—and this is a more serious objection—it is then impossible to call in a subroutine while one or more previous activations of the same subroutine have not yet come to an end, without losing the possibility of finishing them off properly later on. We intend to describe the principles of a program structure for which these two objections no longer hold. In the first place we sought a means of removing the second restriction, for this essentially restricts the admissable structure of the program; hence the name “Recursive Programming”. More efficient use of the memory as regards the internal working spaces of subroutines is a secondary con sequence not without significance. The solution can be applied under perfectly general conditions, e.g. in the structure of an object program to be delivered by an ALGOL 60 compiler. The fact that the proposed methods tend to be rather time consuming on an average present day computer, may give a hint in which direction future design might go. Recursive Programming
{"title":"Recursive Programming","authors":"E. Dijkstra","doi":"10.1145/3544585.3544601","DOIUrl":"https://doi.org/10.1145/3544585.3544601","url":null,"abstract":"ously, and the available memory space is therefore used rather uneconomically. Furthermore—and this is a more serious objection—it is then impossible to call in a subroutine while one or more previous activations of the same subroutine have not yet come to an end, without losing the possibility of finishing them off properly later on. We intend to describe the principles of a program structure for which these two objections no longer hold. In the first place we sought a means of removing the second restriction, for this essentially restricts the admissable structure of the program; hence the name “Recursive Programming”. More efficient use of the memory as regards the internal working spaces of subroutines is a secondary con sequence not without significance. The solution can be applied under perfectly general conditions, e.g. in the structure of an object program to be delivered by an ALGOL 60 compiler. The fact that the proposed methods tend to be rather time consuming on an average present day computer, may give a hint in which direction future design might go. Recursive Programming","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64052755","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 : 2022-06-21DOI: 10.1007/s00211-022-01306-y
H. Bessaih, V. Ginting, Bradley McCaskill
{"title":"Continuous data assimilation for displacement in a porous medium","authors":"H. Bessaih, V. Ginting, Bradley McCaskill","doi":"10.1007/s00211-022-01306-y","DOIUrl":"https://doi.org/10.1007/s00211-022-01306-y","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51843405","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 : 2022-06-15DOI: 10.1007/s00211-022-01300-4
Q. Jin
{"title":"Convergence rates of a dual gradient method for constrained linear ill-posed problems","authors":"Q. Jin","doi":"10.1007/s00211-022-01300-4","DOIUrl":"https://doi.org/10.1007/s00211-022-01300-4","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45869179","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 : 2022-06-10DOI: 10.1007/s00211-022-01297-w
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
{"title":"A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux","authors":"Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya","doi":"10.1007/s00211-022-01297-w","DOIUrl":"https://doi.org/10.1007/s00211-022-01297-w","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46838286","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 : 2022-05-28DOI: 10.1007/s00211-022-01293-0
J. Alahmadi, M. Pranic, L. Reichel
{"title":"Rational gauss quadrature rules for the approximation of matrix functionals involving stieltjes functions","authors":"J. Alahmadi, M. Pranic, L. Reichel","doi":"10.1007/s00211-022-01293-0","DOIUrl":"https://doi.org/10.1007/s00211-022-01293-0","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49261180","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}
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