Communications in Nonlinear Science and Numerical Simulation最新文献_第2页

Superconvergence and extrapolation of a second-order θ fully discrete scheme with nonconforming FEM for degenerate nonlocal thermistor problems 退化非局部热敏电阻问题二阶θ完全离散非协调有限元格式的超收敛和外推

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-22 DOI: 10.1016/j.cnsns.2025.108861

Conggang Liang , Xiangyu Shi , Dongyang Shi

{"title":"Superconvergence and extrapolation of a second-order θ fully discrete scheme with nonconforming FEM for degenerate nonlocal thermistor problems","authors":"Conggang Liang , Xiangyu Shi , Dongyang Shi","doi":"10.1016/j.cnsns.2025.108861","DOIUrl":"10.1016/j.cnsns.2025.108861","url":null,"abstract":"<div><div>The main purpose of this paper is to study the superconvergence and extrapolation of nonconforming finite element method (FEM) for the degenerate nonlocal thermistor problem. Firstly, a new second-order <span><math><mi>θ</mi></math></span> fully discrete scheme is proposed with the nonconforming quasi-Wilson element on quadrilateral meshes. Notably, the scheme is reduced to the 2-step backward differential formula (BDF2) scheme if <span><math><mrow><mi>θ</mi><mo>=</mo><mn>0</mn></mrow></math></span>, and is simplified as the Crank–Nicolson (CN) scheme when <span><math><mrow><mi>θ</mi><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></math></span>. Secondly, the superclose and global superconvergence estimates with <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span> are derived in the broken <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-norm. Subsequently, the extrapolation result with <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>h</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>+</mo><msup><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span> in the broken <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-norm is deduced on rectangular meshes by the higher order consistency error estimate of the quasi-Wilson element and the asymptotic expansion result of the bilinear element. Here <span><math><mi>h</mi></math></span> is the subdivision parameter and <span><math><mi>τ</mi></math></span> is the time step. Finally, some numerical experiments are performed to test the validity of the theoretical analysis.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108861"},"PeriodicalIF":3.4,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143868316","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

Different parameter analysis on nonlinear vibrations for thermo-hyperelastic cylindrical shells with flowing-fluid 流动流体热超弹性圆柱壳非线性振动的不同参数分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-21 DOI: 10.1016/j.cnsns.2025.108886

J. Zhang , Y.F. Zhang , W. Zhang , X.T. Guo , X.Y. Su

{"title":"Different parameter analysis on nonlinear vibrations for thermo-hyperelastic cylindrical shells with flowing-fluid","authors":"J. Zhang , Y.F. Zhang , W. Zhang , X.T. Guo , X.Y. Su","doi":"10.1016/j.cnsns.2025.108886","DOIUrl":"10.1016/j.cnsns.2025.108886","url":null,"abstract":"<div><div>The hyperelastic shell structures composed of rubber materials have the ability to work in a wide range of temperatures, resulting in abundant vibration behaviors. Therefore, considering both geometric and material nonlinearities, some different parameter analysis on the nonlinear vibration responses of the thermo-hyperelastic cylindrical shells containing flowing-fluid (THCSs-FF) are investigated for the first time. The shell theory, thermo-hyperelastic model, velocity potential and energy variational method are used to establish the dynamic model of the THCSs-FF. To obtain the frequency and vibration amplitude relations, the harmonic balance method (HBM) is applied to solve the obtained motion equations for the THCSs-FF. Some parameter analysis on the natural frequencies, vibration amplitudes and chaotic vibrations are conducted. The simulation results indicate that the increasing temperature difference and decreasing fluid velocity enhance the natural frequencies of the THCSs-FF. The THCSs-FF perform the hardening behaviors under different parameter values. However, the changes of temperature show slight effects on the vibration amplitudes of the THCS-FF. The increase of structural parameters causes the hardening behaviors of the first-and second-order to present different trends. A comparative investigation between the thermo-hyperelastic shells with the fluid and flowing-fluid is conducted, and the result further indicates that the flowing-fluid accelerates the process of chaotic responses for the thermo-hyperelastic cylindrical shells.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108886"},"PeriodicalIF":3.4,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143868315","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

On a microscopic equation of state for Lennard-Jones chains 关于Lennard-Jones链的微观状态方程

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-21 DOI: 10.1016/j.cnsns.2025.108843

Ruiqi Sun , Lamberto Rondoni , Federico Frascoli

{"title":"On a microscopic equation of state for Lennard-Jones chains","authors":"Ruiqi Sun , Lamberto Rondoni , Federico Frascoli","doi":"10.1016/j.cnsns.2025.108843","DOIUrl":"10.1016/j.cnsns.2025.108843","url":null,"abstract":"<div><div>The local thermodynamic equilibrium hypothesis is fundamental to the use of thermodynamic notions and the relations linking them, in equilibrium as well as nonequilibrium states. Its domain of applicability can vary widely across different systems. Monodimensional particle systems often violate the locality condition required by that hypothesis, because correlations can persist over long distances and times. Using a microscopic analogue of the van der Waals equation, which involves the microscopic mechanical equivalent of pressure, temperature and density, we investigate the validity of one of the nonequilibrium relations recently proposed as an equation of state concerning the microscopic mechanical equivalent of temperature and density, for monodimensional chains of particles. We do this without invoking the local equilibrium hypothesis: as we deal with mechanical, not thermodynamic, quantities, we do not need the local equilibrium hypothesis. The origin and validity of such a relation are described and indications are given as to why it works in various regimes of interest. Interestingly, that relation appears to be better satisfied, in our Lennard-Jones systems, when the microscopic “temperature” grows locally or the microscopic “density” decreases. These conditions are respectively favoured by high “temperature” differences at the boundaries, and by increasing the length of the chains. At those state points, that linear relation can be seen as a microscopic analogue of the van der Waals equation we propose. In some cases, a simpler approximation based on that link also exists. These types of relations work quite well for a surprisingly large and physically significant range of nonequilibrium states.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108843"},"PeriodicalIF":3.4,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873733","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

Hybrid vibration control study of a double-layer-plate system by employing the beam-type and coupling nonlinear vibration absorbers 采用梁式和耦合非线性吸振器的双层板系统混合振动控制研究

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-21 DOI: 10.1016/j.cnsns.2025.108885

Yuhao Zhao , Yilin Chen , Rongshen Guo

{"title":"Hybrid vibration control study of a double-layer-plate system by employing the beam-type and coupling nonlinear vibration absorbers","authors":"Yuhao Zhao , Yilin Chen , Rongshen Guo","doi":"10.1016/j.cnsns.2025.108885","DOIUrl":"10.1016/j.cnsns.2025.108885","url":null,"abstract":"<div><div>To gain a more attractive vibration control effectiveness of the double-layer-plate system, this work introduces the beam-type nonlinear vibration absorber (BNVA) and coupling nonlinear vibration absorbers (CNVAs) into a double-layer-plate system to study the hybrid vibration control. Analysis of the numerical results reveals that the operational states of the BNVA and CNVAs are classified into multi-band synchronous linear and nonlinear control modes. Independently using the BNVA and CNVAs can concurrently mitigate vibrations in both the targeted and supporting plates. Under the nonlinear control mode, targeted energy transfer and quasi-periodic vibrations are observed within the double-layer plate system. Furthermore, the simultaneous application of the BNVA and CNVAs combines the vibration suppression benefits of both components across various resonance regions, forming a novel hybrid vibration control method. Vibration magnitudes are maintained within desirable levels for each resonance region of the double-layer plate system by using the above method. Importantly, within a specified range of nonlinear stiffness for the BNVA and CNVAs, optimal average vibration suppression ratio points can be identified for both the target and support plates. At these parameter points, significant vibration reduction ratios of the two-layer-plate system are obtained. Overall, the hybrid utilization of the BNVA and CNVAs offers a novel strategy for leveraging nonlinearities to control undesirable vibrations in the double-layer-plate system. The novel hybrid vibration control method contains potential applications in enhancing the vibration control effectiveness of coupled engineering structures.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108885"},"PeriodicalIF":3.4,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143868317","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

Two-step controllability of linear fractional differential equation systems in the Riemann–Liouville sense Riemann-Liouville意义下线性分数阶微分方程系统的两步可控性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-20 DOI: 10.1016/j.cnsns.2025.108849

José Villa-Morales

引用次数: 0

New predefined-time stability theorem and synchronization of fractional-order memristive delayed BAM neural networks 分数阶记忆延迟BAM神经网络新的预定义时间稳定性定理及同步

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-19 DOI: 10.1016/j.cnsns.2025.108850

Jiale Chen , Weigang Sun , Song Zheng

引用次数: 0

Power law behavior of center-like decaying oscillation: Exponent through Perturbation Theory and Optimization 类中心衰减振荡的幂律行为：基于微扰理论和优化的指数

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-18 DOI: 10.1016/j.cnsns.2025.108844

Sandip Saha

{"title":"Power law behavior of center-like decaying oscillation: Exponent through Perturbation Theory and Optimization","authors":"Sandip Saha","doi":"10.1016/j.cnsns.2025.108844","DOIUrl":"10.1016/j.cnsns.2025.108844","url":null,"abstract":"<div><div>In dynamical systems theory, there is a lack of a straightforward rule to distinguish exact center solutions from decaying center-like solutions, as both require the damping force function to be zero (Sarkar et al., 2011; Saha and Gangopadhyay, 2018). By adopting a multi-scale perturbative method, we have demonstrated a general rule for the decaying center-like power law behavior, characterized by an exponent of <span><math><mfrac><mrow><mn>1</mn></mrow><mrow><mn>3</mn></mrow></mfrac></math></span>. The investigation began with a physical question about the higher-order nonlinearity in a damping force function, which exhibits birhythmic and trirhythmic behavior under a transition to a decaying center-type solution. Using numerical optimization algorithms, we identified the power law exponent for decaying center-type behavior across various rhythmic conditions. For all scenarios, we consistently observed a decaying power law with an exponent of <span><math><mfrac><mrow><mn>1</mn></mrow><mrow><mn>3</mn></mrow></mfrac></math></span>. Our study aims to elucidate their dynamical differences, contributing to theoretical insights and practical applications where distinguishing between different types of center-like behavior is crucial. This key result would be beneficial for studying the multi-rhythmic nature of biological and engineering systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108844"},"PeriodicalIF":3.4,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143868314","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

Convergence analysis of subgradient extragradient method with inertial technique for solving variational inequalities and fixed point problems 用惯性技术求解变分不等式和不动点问题的次梯度法的收敛性分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-17 DOI: 10.1016/j.cnsns.2025.108851

Danni Guo , Gang Cai , Bing Tan

引用次数: 0

Topology optimization of the two smallest p-Laplacian eigenvalues by a level set method 基于水平集方法的两个最小p-拉普拉斯特征值拓扑优化

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-17 DOI: 10.1016/j.cnsns.2025.108854

Jing Li , Meizhi Qian , Shengfeng Zhu

引用次数: 0

One-way coupled Eulerian–Lagrangian strategy for wave propagation and impact on coastal areas 波浪传播及其对沿海地区影响的单向耦合欧拉-拉格朗日策略

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-16 DOI: 10.1016/j.cnsns.2025.108845

Andrea Montanino , Miguel Masó Sotomayor , Alessandro Franci

{"title":"One-way coupled Eulerian–Lagrangian strategy for wave propagation and impact on coastal areas","authors":"Andrea Montanino , Miguel Masó Sotomayor , Alessandro Franci","doi":"10.1016/j.cnsns.2025.108845","DOIUrl":"10.1016/j.cnsns.2025.108845","url":null,"abstract":"<div><div>Coastal hazards have gained importance in recent years due to the increasing number of extreme phenomena induced by climate change. The numerical simulation of such events represents a considerable challenge, due to the high non-linearity of the problem, the broadness of the domain, and the diversity of the involved scales. Holistic three-dimensional simulations of the whole domain are typically too computationally demanding and may not be necessary for the wave propagation analysis, where reduced models based on shallow-water hypotheses can be employed. However, these simplified approaches fail when modeling the intricate impact phenomena that occur in coastal zones. To reduce the computational cost without losing accuracy, we propose a one-way coupled approach using a Shallow-Water Eulerian solver to model wave propagation in the far field, and a complete three-dimensional Navier–Stokes Lagrangian strategy to simulate the wave impacting the coastal areas. A computational interface is used to store the kinematic information during the far-field analysis and to transfer it as an inlet condition to the near-field solver. The accuracy, efficiency and robustness of the proposed approach are shown in both 2D and 3D by studying two experimental tests.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108845"},"PeriodicalIF":3.4,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843697","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