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A modified preconditioner for three-by-three block saddle point problems 3 × 3块鞍点问题的改进预条件
IF 0.9 4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-11-17 DOI: 10.1007/s13160-023-00625-3
Jun Li, Zhenping Li
{"title":"A modified preconditioner for three-by-three block saddle point problems","authors":"Jun Li, Zhenping Li","doi":"10.1007/s13160-023-00625-3","DOIUrl":"https://doi.org/10.1007/s13160-023-00625-3","url":null,"abstract":"<p>In this paper, inspired by the simplified relaxed alternating positive semi-definite splitting preconditioner (Xiong and Li in J Appl Math Comput, 2023), a modified preconditioner is established to solve the three-by-three block saddle point problems. The advantage of the modified preconditioner is that its parameters can be easy to select, which can avoid the work of the calculation of the parameters. Next, the spectral property of the preconditioned matrix with modified preconditioner is also discussed. In the end, three examples are provided to show the effectiveness of the modified preconditioner.</p>","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"17 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138518771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A performance evaluation of a new flexible preconditioning method on a parallel finite element structure analysis program, FrontISTR 一种新的柔性预处理方法在并行有限元结构分析程序FrontISTR上的性能评价
IF 0.9 4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-11-16 DOI: 10.1007/s13160-023-00627-1
Noriyuki Kushida, Hiroshi Okuda
{"title":"A performance evaluation of a new flexible preconditioning method on a parallel finite element structure analysis program, FrontISTR","authors":"Noriyuki Kushida, Hiroshi Okuda","doi":"10.1007/s13160-023-00627-1","DOIUrl":"https://doi.org/10.1007/s13160-023-00627-1","url":null,"abstract":"<p>Variable preconditioning methods for Krylov-type linear equation solvers have become popular thanks to their faster convergence speed compared to conventional methods, such as, the Incomplete Lower-Upper factorization and point Jacobi methods. Recently, Kushida and Okuda have introduced a variable preconditioning method, which updates the preconditioning matrix using the Broyden–Fletcher–Goldfarb–Shanno scheme, and applied it to the generalized minimum residual recursive scheme (GMRESR), which is a variant of the well-known GMRES method. Although their method indicated a superior performance to the conventional methods, the problems employed in their study were academic, and its performance on practical problems is of interest. In this study, we evaluate the feasibility of their variable preconditioning for practical problems. FrontISTR, which is a well established open-source parallel finite element analysis program and well used in the industrial field, is employed as the framework to implement the above-mentioned Kushida and Okuda’s preconditioning method in GMRESR (Self-Updating Preconditioning GMRESR; SUP-GMRESR). As results, (1) SUP-GMRESR indicated approximately a three-fold faster convergence than GMRES, which is one of the default linear equation solvers implemented on FrontISTR, using a 600 million degrees of freedom problem, and (2) SUP-GMRESR converged even when GMRES suffered from a stagnation.</p>","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"13 5","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138518772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model 质量守恒反应扩散模型的尖形固定解的存在性
4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-11-14 DOI: 10.1007/s13160-023-00626-2
Yoshihisa Morita, Yoshitaro Tanaka
{"title":"Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model","authors":"Yoshihisa Morita, Yoshitaro Tanaka","doi":"10.1007/s13160-023-00626-2","DOIUrl":"https://doi.org/10.1007/s13160-023-00626-2","url":null,"abstract":"","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"64 16","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134901179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fractional sight analysis of generalized perturbed Zakharov–Kuznetsov equation using Elzaki transform 用Elzaki变换分析广义扰动Zakharov-Kuznetsov方程的分数视线
4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-11-08 DOI: 10.1007/s13160-023-00621-7
T. Pasayat, A. Patra, M. Sahoo
{"title":"Fractional sight analysis of generalized perturbed Zakharov–Kuznetsov equation using Elzaki transform","authors":"T. Pasayat, A. Patra, M. Sahoo","doi":"10.1007/s13160-023-00621-7","DOIUrl":"https://doi.org/10.1007/s13160-023-00621-7","url":null,"abstract":"","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"117 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135341597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A three-term projection method based on spectral secant equation for nonlinear monotone equations 基于谱割线方程的非线性单调方程的三项投影方法
4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-11-03 DOI: 10.1007/s13160-023-00624-4
N. Zhang, J. K. Liu, B. Tang
{"title":"A three-term projection method based on spectral secant equation for nonlinear monotone equations","authors":"N. Zhang, J. K. Liu, B. Tang","doi":"10.1007/s13160-023-00624-4","DOIUrl":"https://doi.org/10.1007/s13160-023-00624-4","url":null,"abstract":"","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"10 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135821144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On pseudoinverse-free block maximum residual nonlinear Kaczmarz method for solving large-scale nonlinear system of equations 求解大范围非线性方程组的伪无逆块最大残差非线性Kaczmarz方法
4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-10-27 DOI: 10.1007/s13160-023-00620-8
Jianhua Zhang, Yuqing Wang, Jing Zhao
{"title":"On pseudoinverse-free block maximum residual nonlinear Kaczmarz method for solving large-scale nonlinear system of equations","authors":"Jianhua Zhang, Yuqing Wang, Jing Zhao","doi":"10.1007/s13160-023-00620-8","DOIUrl":"https://doi.org/10.1007/s13160-023-00620-8","url":null,"abstract":"","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"28 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136262149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Pricing European options under stochastic looping contagion risk model 随机循环传染风险模型下的欧式期权定价
4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-10-19 DOI: 10.1007/s13160-023-00622-6
Taoshun He, Yong Chen
{"title":"Pricing European options under stochastic looping contagion risk model","authors":"Taoshun He, Yong Chen","doi":"10.1007/s13160-023-00622-6","DOIUrl":"https://doi.org/10.1007/s13160-023-00622-6","url":null,"abstract":"","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135731475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Scheduling system for automated storage and retrieval system with multiple machines using a time-expanded network 多机自动存取系统的调度系统，采用时间扩展网络
4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-10-12 DOI: 10.1007/s13160-023-00619-1
Hiroki Ishikura, Nariaki Tateiwa, Shingo Egi, Issa Oe, Nozomi Hata, Toru Mitsutake, Keiichiro Yamamura, Miyu Fujii, Katsuki Fujisawa
{"title":"Scheduling system for automated storage and retrieval system with multiple machines using a time-expanded network","authors":"Hiroki Ishikura, Nariaki Tateiwa, Shingo Egi, Issa Oe, Nozomi Hata, Toru Mitsutake, Keiichiro Yamamura, Miyu Fujii, Katsuki Fujisawa","doi":"10.1007/s13160-023-00619-1","DOIUrl":"https://doi.org/10.1007/s13160-023-00619-1","url":null,"abstract":"","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136014659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a certain martingale representation and the related infinite dimensional moment problem 关于一种鞅表示及其相关的无限维矩问题
4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-10-06 DOI: 10.1007/s13160-023-00618-2
Yuma Tamura
{"title":"On a certain martingale representation and the related infinite dimensional moment problem","authors":"Yuma Tamura","doi":"10.1007/s13160-023-00618-2","DOIUrl":"https://doi.org/10.1007/s13160-023-00618-2","url":null,"abstract":"","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135351194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the spectral bias of coupled frequency predictor–corrector triangular DNN: The convergence analysis 耦合频率预测-校正三角深度神经网络的频谱偏置:收敛性分析
4区 数学
Japan Journal of Industrial and Applied Mathematics Pub Date : 2023-09-22 DOI: 10.1007/s13160-023-00617-3
Rui Zhang
{"title":"On the spectral bias of coupled frequency predictor–corrector triangular DNN: The convergence analysis","authors":"Rui Zhang","doi":"10.1007/s13160-023-00617-3","DOIUrl":"https://doi.org/10.1007/s13160-023-00617-3","url":null,"abstract":"","PeriodicalId":50264,"journal":{"name":"Japan Journal of Industrial and Applied Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136061213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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