Pub Date : 2023-09-01DOI: 10.1007/s11464-021-0018-6
Bo Zheng, Yueqiang Shang
Based on finite element discretization, a new two-grid algorithm based on Newton iteration is proposed to solve the stationary Navier–Stokes equations with nonlinear damping term. The proposed new two-grid algorithm consists of three steps: in the first step, we solve one small nonlinear coarse grid problem, and then, in the second and third steps, we solve two linear fine grid problems based on Newton iteration which have the same stiffness matrices with only different right-hand sides. We analyze stability of the present algorithm and prove rate of convergence of the approximate solutions obtained from the algorithm. Numerical results are given to demonstrate the effectiveness of the present algorithm, showing that our algorithm greatly improves the accuracy of the approximate solutions comparable to that of the usual two-grid algorithm.
{"title":"A New Two-grid Algorithm Based on Newton Iteration for the Stationary Navier–Stokes Equations with Damping","authors":"Bo Zheng, Yueqiang Shang","doi":"10.1007/s11464-021-0018-6","DOIUrl":"https://doi.org/10.1007/s11464-021-0018-6","url":null,"abstract":"Based on finite element discretization, a new two-grid algorithm based on Newton iteration is proposed to solve the stationary Navier–Stokes equations with nonlinear damping term. The proposed new two-grid algorithm consists of three steps: in the first step, we solve one small nonlinear coarse grid problem, and then, in the second and third steps, we solve two linear fine grid problems based on Newton iteration which have the same stiffness matrices with only different right-hand sides. We analyze stability of the present algorithm and prove rate of convergence of the approximate solutions obtained from the algorithm. Numerical results are given to demonstrate the effectiveness of the present algorithm, showing that our algorithm greatly improves the accuracy of the approximate solutions comparable to that of the usual two-grid algorithm.","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134995423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-020-0180-2
Qingzhi Yang, Yujin Paek, Wei Mei
{"title":"Further Investigation of Positive Semi-definiteness of Fourth-order Cauchy and Hilbert Tensors","authors":"Qingzhi Yang, Yujin Paek, Wei Mei","doi":"10.1007/s11464-020-0180-2","DOIUrl":"https://doi.org/10.1007/s11464-020-0180-2","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75418438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-020-0051-x
Ji-zheng Huang, Huixia Mo
{"title":"A New Characterization of the Besov Spaces Associated with Hermite Operator","authors":"Ji-zheng Huang, Huixia Mo","doi":"10.1007/s11464-020-0051-x","DOIUrl":"https://doi.org/10.1007/s11464-020-0051-x","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73364721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-020-0126-8
Zhen-Lin Wu, N. Yang
{"title":"CLTσ-group with σ-subnormal or Self-normalizing Subgroups","authors":"Zhen-Lin Wu, N. Yang","doi":"10.1007/s11464-020-0126-8","DOIUrl":"https://doi.org/10.1007/s11464-020-0126-8","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87542044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-020-0011-5
An Wang, Chengchen Zhong
{"title":"Lu Qi-Keng Problem and Topological Properties of Zero Variety on the Thullen Domain","authors":"An Wang, Chengchen Zhong","doi":"10.1007/s11464-020-0011-5","DOIUrl":"https://doi.org/10.1007/s11464-020-0011-5","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87174545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-020-0169-x
Yao Zhang
{"title":"The Finitistic Dimension and Global Dimension of an Artinian Ring with a Dualizing Complex","authors":"Yao Zhang","doi":"10.1007/s11464-020-0169-x","DOIUrl":"https://doi.org/10.1007/s11464-020-0169-x","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85809839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-020-0142-8
Weiguo Lü
{"title":"The Batalin–Vilkovisky Structure over the Hochschild Cohomology Ring of Exterior Algebras","authors":"Weiguo Lü","doi":"10.1007/s11464-020-0142-8","DOIUrl":"https://doi.org/10.1007/s11464-020-0142-8","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86263562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-021-0209-1
Bo Chen, Youde Wang
{"title":"Very Regular Solution to Landau–Lifshitz–Gilbert System with Spin-polarized Transport","authors":"Bo Chen, Youde Wang","doi":"10.1007/s11464-021-0209-1","DOIUrl":"https://doi.org/10.1007/s11464-021-0209-1","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89943606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-020-0040-y
Tongxin Yan, Yifen Ke, Changfeng Ma
{"title":"Adaptive Parameter Alternating Direction Algorithm for Centrosymmetric Solutions of a Class of Generalized Coupled Sylvester-transpose Matrix Equations","authors":"Tongxin Yan, Yifen Ke, Changfeng Ma","doi":"10.1007/s11464-020-0040-y","DOIUrl":"https://doi.org/10.1007/s11464-020-0040-y","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73456029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-22DOI: 10.1007/s11464-020-0006-2
Chuang Lü, L. You, Yufei Huang
{"title":"Sharp Bounds for the Spectral Radii of Nonnegative Tensors","authors":"Chuang Lü, L. You, Yufei Huang","doi":"10.1007/s11464-020-0006-2","DOIUrl":"https://doi.org/10.1007/s11464-020-0006-2","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89393922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：