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Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems 离散状态和控制约束的最优控制对流扩散问题的预处理
2区 数学
Calcolo Pub Date : 2023-10-08 DOI: 10.1007/s10092-023-00542-4
Ivo Dravins, Maya Neytcheva
{"title":"Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems","authors":"Ivo Dravins, Maya Neytcheva","doi":"10.1007/s10092-023-00542-4","DOIUrl":"https://doi.org/10.1007/s10092-023-00542-4","url":null,"abstract":"Abstract We consider the iterative solution of algebraic systems, arising in optimal control problems constrained by a partial differential equation with additional box constraints on the state and the control variables, and sparsity imposed on the control. A nonsymmetric two-by-two block preconditioner is analysed and tested for a wide range of problem, regularization and discretization parameters. The constraint equation characterizes convection-diffusion processes.","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":"2016 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135198276","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}
引用次数: 0
A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes 多角形网格上变系数扩散粘性波动方程的数值分析与模拟
2区 数学
Calcolo Pub Date : 2023-10-06 DOI: 10.1007/s10092-023-00541-5
Naresh Kumar, Bhupen Deka
{"title":"A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes","authors":"Naresh Kumar, Bhupen Deka","doi":"10.1007/s10092-023-00541-5","DOIUrl":"https://doi.org/10.1007/s10092-023-00541-5","url":null,"abstract":"","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":"11 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":"135346594","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}
引用次数: 0
A streamline-derivative-based local projection stabilization virtual element method for nonlinear convection–diffusion–reaction equation 基于流线导数的非线性对流-扩散-反应方程局部投影稳定虚元法
2区 数学
Calcolo Pub Date : 2023-09-23 DOI: 10.1007/s10092-023-00539-z
Sudheer Mishra, E. Natarajan
{"title":"A streamline-derivative-based local projection stabilization virtual element method for nonlinear convection–diffusion–reaction equation","authors":"Sudheer Mishra, E. Natarajan","doi":"10.1007/s10092-023-00539-z","DOIUrl":"https://doi.org/10.1007/s10092-023-00539-z","url":null,"abstract":"","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":"2014 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135966340","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}
引用次数: 1
Local projection stabilized finite element methods for advection–reaction problems 平流反应问题的局部投影稳定有限元方法
2区 数学
Calcolo Pub Date : 2023-09-12 DOI: 10.1007/s10092-023-00540-6
Deepika Garg, Sashikumaar Ganesan
{"title":"Local projection stabilized finite element methods for advection–reaction problems","authors":"Deepika Garg, Sashikumaar Ganesan","doi":"10.1007/s10092-023-00540-6","DOIUrl":"https://doi.org/10.1007/s10092-023-00540-6","url":null,"abstract":"Abstract An a priori analysis for generalized local projection stabilized finite element approximations for the solution of an advection–reaction equation is presented in this article. The stability and a priori error estimates are derived for the conforming, and nonconforming (Crouzeix–Raviart) approximations in the local projection streamline derivative norm. Finally, the validation of the proposed stabilization scheme and verification of the derived estimates are presented with appropriate numerical experiments.","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135826814","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}
引用次数: 0
A macro-bubble enriched P1–P0 finite element for the Stokes equations on triangular and tetrahedral meshes 三角形和四面体网格上Stokes方程的富含宏观气泡的P1–P0有限元
IF 1.7 2区 数学
Calcolo Pub Date : 2023-08-24 DOI: 10.1007/s10092-023-00538-0
Shangyou Zhang
{"title":"A macro-bubble enriched P1–P0 finite element for the Stokes equations on triangular and tetrahedral meshes","authors":"Shangyou Zhang","doi":"10.1007/s10092-023-00538-0","DOIUrl":"https://doi.org/10.1007/s10092-023-00538-0","url":null,"abstract":"","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46996442","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}
引用次数: 0
Conditioning of Fourier sums on a quadratic curve 二次曲线上傅里叶和的条件
IF 1.7 2区 数学
Calcolo Pub Date : 2023-08-05 DOI: 10.1007/s10092-023-00537-1
Phung Van Manh
{"title":"Conditioning of Fourier sums on a quadratic curve","authors":"Phung Van Manh","doi":"10.1007/s10092-023-00537-1","DOIUrl":"https://doi.org/10.1007/s10092-023-00537-1","url":null,"abstract":"","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47421542","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}
引用次数: 0
ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations 二维调和分数阶积分微分方程的ADI有限元Galerkin方法
IF 1.7 2区 数学
Calcolo Pub Date : 2023-08-03 DOI: 10.1007/s10092-023-00533-5
W. Qiu, G. Fairweather, Xuehua Yang, Haixiang Zhang
{"title":"ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations","authors":"W. Qiu, G. Fairweather, Xuehua Yang, Haixiang Zhang","doi":"10.1007/s10092-023-00533-5","DOIUrl":"https://doi.org/10.1007/s10092-023-00533-5","url":null,"abstract":"","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42608151","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}
引用次数: 1
Polynomial time ρdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$rho $$end{document}-locally maximum volume search Polynomial time ρdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$rho $$end{document}-locally maximum volume search
IF 1.7 2区 数学
Calcolo Pub Date : 2023-08-03 DOI: 10.1007/s10092-023-00536-2
Alexander Osinsky
{"title":"Polynomial time ρdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$rho $$end{document}-locally maximum volume search","authors":"Alexander Osinsky","doi":"10.1007/s10092-023-00536-2","DOIUrl":"https://doi.org/10.1007/s10092-023-00536-2","url":null,"abstract":"","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49193434","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}
引用次数: 0
Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems 奇异摄动反应扩散问题有限体积法的能量范数和平衡范数超接近误差分析
IF 1.7 2区 数学
Calcolo Pub Date : 2023-07-28 DOI: 10.1007/s10092-023-00535-3
Xiangyun Meng, M. Stynes
{"title":"Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems","authors":"Xiangyun Meng, M. Stynes","doi":"10.1007/s10092-023-00535-3","DOIUrl":"https://doi.org/10.1007/s10092-023-00535-3","url":null,"abstract":"","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48764802","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}
引用次数: 0
Accurate computation of eigenvalues of generalized sign regular quasi-Said–Ball–Vandermonde matrices 广义符号正则拟Said–Ball–Vandermonde矩阵特征值的精确计算
IF 1.7 2区 数学
Calcolo Pub Date : 2023-07-21 DOI: 10.1007/s10092-023-00534-4
Yebo Xiong
{"title":"Accurate computation of eigenvalues of generalized sign regular quasi-Said–Ball–Vandermonde matrices","authors":"Yebo Xiong","doi":"10.1007/s10092-023-00534-4","DOIUrl":"https://doi.org/10.1007/s10092-023-00534-4","url":null,"abstract":"","PeriodicalId":9522,"journal":{"name":"Calcolo","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43319747","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}
引用次数: 0
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