Comput. Math. Appl.最新文献

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A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation 亥姆霍兹方程的无污染超弱FOSLS离散化
Comput. Math. Appl. Pub Date : 2023-03-29 DOI: 10.48550/arXiv.2303.16508
Harald Monsuur, R. Stevenson
{"title":"A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation","authors":"Harald Monsuur, R. Stevenson","doi":"10.48550/arXiv.2303.16508","DOIUrl":"https://doi.org/10.48550/arXiv.2303.16508","url":null,"abstract":"We consider an ultra-weak first order system discretization of the Helmholtz equation. When employing the optimal test norm, the `ideal' method yields the best approximation to the pair of the Helmholtz solution and its scaled gradient w.r.t.~the norm on $L_2(Omega)times L_2(Omega)^d$ from the selected finite element trial space. On convex polygons, the `practical', implementable method is shown to be pollution-free essentially whenever the order $tilde{p}$ of the finite element test space grows proportionally with $max(log kappa,p^2)$, with $p$ being the order at trial side. Numerical results also on other domains show a much better accuracy than for the Galerkin method.","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87059560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Infinity norm bounds for the inverse for $$textrm{GSDD}_1$$ matrices using scaling matrices 使用缩放矩阵的$$textrm{GSDD}_1$$矩阵逆的无穷范数界
Comput. Math. Appl. Pub Date : 2023-03-22 DOI: 10.1007/s40314-022-02165-x
Pingfan Dai, Jinping Li, Shaoyu Zhao
{"title":"Infinity norm bounds for the inverse for $$textrm{GSDD}_1$$ matrices using scaling matrices","authors":"Pingfan Dai, Jinping Li, Shaoyu Zhao","doi":"10.1007/s40314-022-02165-x","DOIUrl":"https://doi.org/10.1007/s40314-022-02165-x","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82197056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility 具有密度抑制运动的趋化系统无网格数值方法的收敛性
Comput. Math. Appl. Pub Date : 2023-03-22 DOI: 10.48550/arXiv.2303.12459
Federico Herrero-Herv'as, M. Negreanu, A. M. Vargas
{"title":"Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility","authors":"Federico Herrero-Herv'as, M. Negreanu, A. M. Vargas","doi":"10.48550/arXiv.2303.12459","DOIUrl":"https://doi.org/10.48550/arXiv.2303.12459","url":null,"abstract":"This article studies a parabolic-elliptic system modelling the pattern formation in E. coli bacteria in response to a chemoattractant known as acylhomoserine lactone concentration (AHL). The system takes into account certain bacterial strains with motility regulation, and the parameters of the equations represent the bacterial logistic growth, AHL diffusion and the rates of production and degradation of AHL. We consider the numerical solution to the system using the Generalized Finite Difference (GFD) Method, a meshless method known to effectively compute numerical solutions to nonlinear problems. The paper is organized to first explain the derivation of the explicit formulae of the method, followed by the study of the convergence of the explicit scheme. Then, several examples over regular and irregular meshes are given.","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89335136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An $$H^{1}-$$Galerkin mixed finite element method for rosenau equation 罗诺方程的$$H^{1}-$$ Galerkin混合有限元法
Comput. Math. Appl. Pub Date : 2023-03-14 DOI: 10.1007/s40314-023-02255-4
L. Doss, L. Aishwarya
{"title":"An $$H^{1}-$$Galerkin mixed finite element method for rosenau equation","authors":"L. Doss, L. Aishwarya","doi":"10.1007/s40314-023-02255-4","DOIUrl":"https://doi.org/10.1007/s40314-023-02255-4","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76512633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fast $$theta $$-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysis 快速$$theta $$ -卷积型随机Volterra积分方程的maruyama格式:均方稳定性和强收敛分析
Comput. Math. Appl. Pub Date : 2023-03-08 DOI: 10.1007/s40314-023-02248-3
Mengjie Wang, Xinjie Dai, Yanyan Yu, A. Xiao
{"title":"Fast $$theta $$-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysis","authors":"Mengjie Wang, Xinjie Dai, Yanyan Yu, A. Xiao","doi":"10.1007/s40314-023-02248-3","DOIUrl":"https://doi.org/10.1007/s40314-023-02248-3","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78715391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Semi-monolithic formulation based on a projection method for simulating fluid-structure interaction problems 基于投影法模拟流固耦合问题的半整体公式
Comput. Math. Appl. Pub Date : 2023-03-01 DOI: 10.2139/ssrn.4093620
S. Ha, H. Choi
{"title":"Semi-monolithic formulation based on a projection method for simulating fluid-structure interaction problems","authors":"S. Ha, H. Choi","doi":"10.2139/ssrn.4093620","DOIUrl":"https://doi.org/10.2139/ssrn.4093620","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75182375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Fast and stable schemes for non-linear osmosis filtering 快速稳定的非线性渗透过滤方案
Comput. Math. Appl. Pub Date : 2023-03-01 DOI: 10.48550/arXiv.2203.15570
L. Calatroni, S. Morigi, S. Parisotto, G. Recupero
{"title":"Fast and stable schemes for non-linear osmosis filtering","authors":"L. Calatroni, S. Morigi, S. Parisotto, G. Recupero","doi":"10.48550/arXiv.2203.15570","DOIUrl":"https://doi.org/10.48550/arXiv.2203.15570","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74252271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Invariant subspaces and exact solutions: $$(1+1)$$ and $$(2+1)$$-dimensional generalized time-fractional thin-film equations 不变子空间和精确解:$$(1+1)$$和$$(2+1)$$维广义时间分数薄膜方程
Comput. Math. Appl. Pub Date : 2023-02-24 DOI: 10.1007/s40314-023-02229-6
P. Prakash, Reethamma Thomas, T. Bakkyaraj
{"title":"Invariant subspaces and exact solutions: $$(1+1)$$ and $$(2+1)$$-dimensional generalized time-fractional thin-film equations","authors":"P. Prakash, Reethamma Thomas, T. Bakkyaraj","doi":"10.1007/s40314-023-02229-6","DOIUrl":"https://doi.org/10.1007/s40314-023-02229-6","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80416040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Study on the integro-differential equations on $${C^1}({mathbb {R}}_{+})$$ 关于积分-微分方程的研究 $${C^1}({mathbb {R}}_{+})$$
Comput. Math. Appl. Pub Date : 2023-02-23 DOI: 10.1007/s40314-023-02239-4
H. Tamimi, S. Saiedinezhad, M. Ghaemi
{"title":"Study on the integro-differential equations on $${C^1}({mathbb {R}}_{+})$$","authors":"H. Tamimi, S. Saiedinezhad, M. Ghaemi","doi":"10.1007/s40314-023-02239-4","DOIUrl":"https://doi.org/10.1007/s40314-023-02239-4","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77849460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simulation of the Deformation for Cycling Chemo-Mechanically Coupled Battery Active Particles with Mechanical Constraints 具有机械约束的化学-机械耦合电池活性颗粒循环变形模拟
Comput. Math. Appl. Pub Date : 2023-02-15 DOI: 10.48550/arXiv.2302.07786
R. Schoof, G. Castelli, W. Dörfler
{"title":"Simulation of the Deformation for Cycling Chemo-Mechanically Coupled Battery Active Particles with Mechanical Constraints","authors":"R. Schoof, G. Castelli, W. Dörfler","doi":"10.48550/arXiv.2302.07786","DOIUrl":"https://doi.org/10.48550/arXiv.2302.07786","url":null,"abstract":"Next-generation lithium-ion batteries with silicon anodes have positive characteristics due to higher energy densities compared to state-of-the-art graphite anodes. However, the large volume expansion of silicon anodes can cause high mechanical stresses, especially if the battery active particle cannot expand freely. In this article, a thermodynamically consistent continuum model for coupling chemical and mechanical effects of electrode particles is extended by a change in the boundary condition for the displacement via a variational inequality. This switch represents a limited enlargement of the particle swelling or shrinking due to lithium intercalation or deintercalation in the host material, respectively. For inequality constraints as boundary condition a smaller time step size is need as well as a locally finer mesh. The combination of a primal-dual active set algorithm, interpreted as semismooth Newton method, and a spatial and temporal adaptive algorithm allows the efficient numerical investigation based on a finite element method. Using the example of silicon, the chemical and mechanical behavior of one- and two-dimensional representative geometries for a charge-discharge cycle is investigated. Furthermore, the efficiency of the adaptive algorithm is demonstrated. It turns out that the size of the gap has a significant influence on the maximal stress value and the slope of the increase. Especially in two dimension, the obstacle can cause an additional region with a lithium-poor phase.","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87423492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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