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Fast Sweeping Method Based on Equivalent Slowness for Solving the Eikonal Equation 认领 引用
1
作者 Hong-Yi Jiang Jian-Xun Yang +3 位作者 Yong-ming Lu Jun-xin Guo Hao Zhang Li-chan Wang 《Applied Geophysics》 SCIE CSCD 2026年第1期162-171,430,共10页
The Fast Sweeping Method based on equivalent slowness is an improved algorithm for solving seismic wave traveltime,aiming to address the significant errors caused by the large wavefront curvature near the source point... The Fast Sweeping Method based on equivalent slowness is an improved algorithm for solving seismic wave traveltime,aiming to address the significant errors caused by the large wavefront curvature near the source point in traditional methods.The core of this method lies in transferring part of the complex curvature information of the traveltime eld to the distance term of the analytical solution,thereby simplifying the calculation process of the traveltime eld.Specically,by dening the equivalent slowness as the ratio of traveltime to the straight-line distance from a point to the source point,using a nite dierence scheme to discretely solve the equivalent slowness,and then converting it into traveltime values,this approach can signicantly enhance computational accuracy and efciency.In this study,numerical examples are employed to verify the effectiveness and superiority of the Fast Sweeping Method based on equivalent slowness in handling complex seismic wave traveltime calculations. 展开更多
关键词 Fast Sweeping Method equivalent slowness Eikonal equation Seismic Source Processing
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Coordinate-transformation-based fast sweeping method for the factored eikonal equation on triangular meshes 认领 引用
2
作者 Xin Chen Dan-Ping Cao +1 位作者 Zhao-Lin Zhu Xin Fu 《Petroleum Science》 SCIE EI CAS CSCD 2026年第5期2545-2559,共15页
Accurate traveltime computation in complex geometries is crucial for seismological applications such as traveltime tomography and migration.However,eikonal solvers relying on finite-differences encounter the source si... Accurate traveltime computation in complex geometries is crucial for seismological applications such as traveltime tomography and migration.However,eikonal solvers relying on finite-differences encounter the source singularity,leading to numerical errors that propagate throughout the computational domain and compromise traveltime accuracy.Solving the factored eikonal equation has proven effective in addressing this singularity,but it has not yet been applied to triangular meshes,which are significant for modeling complex geological structures and irregular topographies.To address this challenge,we propose a new coordinate-transformation-based fast sweeping method(FsMcT)designed for triangular meshes.FSMCT maps each triangular element in the physical domain into a canonical reference triangle through coordinate transformation,and constructs an upwind finite-difference scheme on the reference triangle to solve the eikonal equation.The framework enables a straight forward extension to the multiplicatively/additively factored eikonal equations,overcoming the long-standing limitation that the conventional fast sweeping method(FsM)cannot solve the factored eikonal equation on triangular meshes,thereby effectively mitigating source singularity.Furthermore,FSMcT solves the eikonal equation on the reference triangle,while existing FSM typically require further subdivision of obtuse triangles.Numerical simulations demonstrate that FsMcT accurately solves the factored eikonal equation on triangular meshes,substantially reducing the errors caused by source singularity and achieving significantly higher accuracy than the conventional FSM. 展开更多
关键词 Traveltime Fast sweeping method Unstructured triangular mesh Factored eikonal equation
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Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna 认领 引用
3
作者 LIAN Peiyuan WANG Congsi +2 位作者 XIANG Binbin SHI Yu XUE Song 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2019年第1期22-29,共8页
A gradient-based optimization method for producing a contoured beam by using a single-fed reflector antenna is presented. First, a quick and accurate pattern approximation formula based on physical optics(PO) is adopt... A gradient-based optimization method for producing a contoured beam by using a single-fed reflector antenna is presented. First, a quick and accurate pattern approximation formula based on physical optics(PO) is adopted to calculate the gradients of the directivity with respect to reflector's nodal displacements. Because the approximation formula is a linear function of nodal displacements, the gradient can be easily derived. Then, the method of the steepest descent is adopted, and an optimization iteration procedure is proposed. The iteration procedure includes two loops: an inner loop and an outer loop. In the inner loop, the gradient and pattern are calculated by matrix operation, which is very fast by using the pre-calculated data in the outer loop. In the outer loop, the ideal terms used in the inner loop to calculate the gradient and pattern are updated, and the real pattern is calculated by the PO method. Due to the high approximation accuracy, when the outer loop is performed once, the inner loop can be performed many times, which will save much time because the integration is replaced by matrix operation. In the end, a contoured beam covering the continental United States(CONUS) is designed, and simulation results show the effectiveness of the proposed algorithm. 展开更多
关键词 reflector antennas single feed contoured beam gradient-based optimization method.
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Modeling and Analysis on Flow Instability of Helical Coiled Tube Steam Generator of Liquid Metal Fast Reactor under Coupled Heat Transfer Conditions 认领 引用
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作者 Jialun Liu Yuchang Lu +3 位作者 Jianjun Lin Shebing Li Ruixia Gao Zhao Li 《Frontiers in Heat and Mass Transfer》 EI CAS 2026年第2期178-195,共18页
A steady thermo-hydraulic model of the helical tube steam generator was first constructed to study the coupled heat transfer process between the primary and secondary sides based on a discrete modeling method,and obta... A steady thermo-hydraulic model of the helical tube steam generator was first constructed to study the coupled heat transfer process between the primary and secondary sides based on a discrete modeling method,and obtain the heat flux density distribution along the steam generator.Then,taking the obtained coupled heat flux density distribution as the thermal boundary condition input,considering the dynamic variation of physical properties on the secondary side,a dynamic model based on the time-domain method suitable for two-phase flow instability among parallel multiple channels of the steam generator was constructed.Finally,taking the lead-bismuth fast reactor as an example,flow instability of the steam generator was analyzed under an inlet lead-bismuth temperature of 320℃~480℃ and an inlet water temperature of 160℃~240℃.It was found that flow instability is less likely to occur under coupled heat conditions,compared with that under uniform or linear distribution.Flow excursion is prone to occur under low inlet temperature of the primary or secondary side.As the inlet lead bismuth temperature increases from 320℃ to 480℃,average heat flux significantly increases by 2.5 times,and the non-uniformity of heat flux distribution increases of 49%.Meanwhile,the density wave oscillation amplitude gradually increases,and system stability weakens. 展开更多
关键词 Liquid metal fast reactor helical coiled tube steam generator two-phase flow instability discrete method coupled heat transfer between primary side and second side
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基于KANO-FAST模型的造纸设备管理APP设计研究 认领 引用
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作者 王飞 吕明琪 陈鸿龙 《中国造纸》 CAS 北大核心 2026年第1期181-186,共6页
本研究将KANO模型与FAST方法相融合,通过问卷与访谈的方式收集行业需求,利用KANO模型对需求进行分类,并量化优先级(基本型、期望型、兴奋型)。在此基础上,结合FAST方法构建功能层级树,实现需求向模块化功能的精准转化。此外,设计出集成... 本研究将KANO模型与FAST方法相融合,通过问卷与访谈的方式收集行业需求,利用KANO模型对需求进行分类,并量化优先级(基本型、期望型、兴奋型)。在此基础上,结合FAST方法构建功能层级树,实现需求向模块化功能的精准转化。此外,设计出集成设备基本管理(基本需求)、异常上报(期望需求)及生产报工(兴奋需求)功能的APP。结果表明,用户对该APP的满意度达92%,设备维修效率提升了26个百分点。本研究设计的KANO-FAST模型,能够有效提升造纸设备管理APP的可用性设计效率,为工业设备管理提供兼具高可靠性、强创新性的解决方案,助力智能化转型。 展开更多
关键词 KANO模型 FAST方法 设备管理APP 智能化转型
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基于KJ-KANO-FAST模式的儿童婴儿床设计研究 认领 引用
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作者 杨铭晖 《设计》 2026年第11期62-67,共6页
本研究旨在通过KJ法、Kano模型和FAST法的组合应用,为儿童婴儿床设计提供系统化方法。通过KJ法收集并分析家长和儿童的需求,运用Kano模型分类评估功能需求,确定设计关键点。再利用FAST法进行功能求解,创新设计出符合用户期望的家具。通... 本研究旨在通过KJ法、Kano模型和FAST法的组合应用,为儿童婴儿床设计提供系统化方法。通过KJ法收集并分析家长和儿童的需求,运用Kano模型分类评估功能需求,确定设计关键点。再利用FAST法进行功能求解,创新设计出符合用户期望的家具。通过模拟带有婴儿床的家居场景,用KJ-KanoFAST模式分析儿童房婴儿床使用场景下的功能需求,并提出设计方案。本研究不仅提高了设计的准确性和创新性,还充分考虑了儿童特点与中国家庭构成模式,有助于为儿童打造多功能且舒适的婴儿床设计。通过对此模型的应用,厘清了儿童婴儿床的需求层次,并将其运用在婴儿床产品设计中,为类似儿童婴儿床设计项目提供了解决思路及方案参考。 展开更多
关键词 KJ法 Kano模型 FAST法 儿童婴儿床 用户需求分析
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A Fast Algorithm for Solving the Poisson Equations Based on the Discrete Cosine/Sine Transforms in the Finite Difference Method 认领 引用
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作者 LI Congcong WANG Danxia +1 位作者 JIA Hongen ZHANG Chenhui 《应用数学》 北大核心 2025年第3期651-669,共19页
To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical c... To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical computation of such models.This efficient solver employs algorithms based on discrete cosine transformations(DCT)or discrete sine transformations(DST)and is not restricted by any spatio-temporal schemes.Our proposed methodology is appropriate for a variety of phase-field models and is especially efficient when combined with flow field systems.Meanwhile,this study has conducted an extensive numerical comparison and found that employing DCT and DST techniques not only yields results comparable to those obtained via the Multigrid(MG)method,a conventional approach used in the resolution of the Poisson equations,but also enhances computational efficiency by over 90%. 展开更多
关键词 Phase-field model Finite difference method Fast Poisson solver(DC-T/DST) Explicit invariant energy quadratization Unconditional energy stability
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Fast beam migration capable of dealing with intersecting events 认领 引用
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作者 Zhi-Miao Chang Fu-Xing Han +4 位作者 Zheng-Hui Gao Zhang-Qing Sun Shou-Dong Huo Gang Li Ming Zhang 《Petroleum Science》 SCIE EI CAS CSCD 2026年第1期190-204,共15页
Fast beam migration(FBM),characterized by its super-high efficiency in velocity model building,consists of three main steps:beam forming,beam propagation,and image forming.The super-high efficiency is achieved by beam... Fast beam migration(FBM),characterized by its super-high efficiency in velocity model building,consists of three main steps:beam forming,beam propagation,and image forming.The super-high efficiency is achieved by beam forming,as it needs only to be performed once for one dataset and is independent of velocity,and the other two steps take relatively little time.However,compared to the beam-propagation and image-forming steps,the beam-forming step is still quite time-consuming owing to the high-dimensional computing problem of estimating the source and receiver slope orientation of a beam.Furthermore,previous methods for estimating the source and receiver slope orientation of a beam struggled to deal with intersecting events,leading to poor imaging results for complex subsurface structures,such as unconformities or faults,where events often intersect.We propose the use of a three-step multimodal optimization method based on the neighborhood crowding differential evolution(NCDE)algorithm to estimate the source and receiver slope orientation of a beam during the beam-forming step,which can quickly and accurately obtain slope orientations when events intersect.We first test the three-step multimodal optimization algorithm on a 3D super-gather and provide the parameter criteria.We then apply the FBM based on the three-step multimodal optimization algorithm to the Marmousi 2 and 3D SEG/EAGE salt models.Both results demonstrate that the proposed method can image intersecting events well and that the imaging quality of complex zones is improved.We also apply the proposed method to a 2D offshore seismic dataset containing abundant intersecting events,which validates the practicality of the proposed method. 展开更多
关键词 Fast beam migration(FBM) Intersecting events Multimodal optimization method Neighborhood crowding differential evolution(NCDE)algorithm High-dimensional computing problem
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A fast algorithm for solving the scattering problem from an open rectangular cavity 认领 引用
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作者 HAN Shangqi LI Yuan 《黑龙江大学自然科学学报》 CAS 2026年第1期31-41,共11页
This paper presents a fast algorithm for solving the scattering problem from an open rectangular cavity embedded in the ground plane.The computational region is chosen as the union of two rectangular regions:one is a ... This paper presents a fast algorithm for solving the scattering problem from an open rectangular cavity embedded in the ground plane.The computational region is chosen as the union of two rectangular regions:one is a region above the ground,the other one is a region containing the cavity.The finite difference scheme is constructed in each region.An intermediate layer of the mesh is shared by both regions,which is the key of the algorithm.A cyclic reduction method is employed to solve the difference equation in the region above the ground.Then the numerical solution on the cavity aperture can be obtained.The numerical experiments are provided to verify the feasibility of the proposed algorithm. 展开更多
关键词 scattering problem cavity Helmholtz equation fast algorithm difference equation cyclic reduction method
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FAST法在明式圈椅家具结构中的构建研究 认领 引用
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作者 王文智 刘俊 代安娜 《鞋类工艺与设计》 2026年第1期165-167,共3页
深入探讨明式圈椅的结构功能,以推动传统明式圈椅的创新发展。本文分析了明式圈椅的独特特点和文化价值,系统阐述了其功能的定义、分类及分级方法。利用FAST法,对明式圈椅的结构功能进行全面分析,依据用户需求对功能需求进行分级和排序... 深入探讨明式圈椅的结构功能,以推动传统明式圈椅的创新发展。本文分析了明式圈椅的独特特点和文化价值,系统阐述了其功能的定义、分类及分级方法。利用FAST法,对明式圈椅的结构功能进行全面分析,依据用户需求对功能需求进行分级和排序,建立了明式圈椅家具的FAST功能分析系统模型。通过该模型,揭示了明式圈椅在结构上的创新潜力,并基于此开展创新设计实践。这种设计方法不仅为挖掘和传承明式家具文化提供了新的思路,也为其现代化应用和创新设计奠定了理论依据和实践支持,具有重要的文化与设计意义。 展开更多
关键词 FAST法 明式家具 圈椅 家具设计
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Fast Marching Method for Microseismic Source Location in Cavern-Containing Rockmass: Performance Analysis and Engineering Application 认领 引用 被引量：26
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作者 Ruochen Jiang Feng Dai +1 位作者 Yi Liu Ang Li 《Engineering》 SCIE EI CAS CSCD 2021年第7期1023-1034,共12页
Microseismic(MS)event locations are vital aspect of MS monitoring technology used to delineate the damage zone inside the surrounding rock mass.However,complex geological conditions can impose significantly adverse ef... Microseismic(MS)event locations are vital aspect of MS monitoring technology used to delineate the damage zone inside the surrounding rock mass.However,complex geological conditions can impose significantly adverse effects on the final location results.To achieve a high-accuracy location in a complex cavern-containing structure,this study develops an MS location method using the fast marching method(FMM)with a second-order difference approach(FMM2).Based on the established velocity model with three-dimensional(3D)discrete grids,the realization of the MS location can be achieved by searching the minimum residual between the theoretical and actual first arrival times.Moreover,based on the calculation results of FMM2,the propagation paths from the MS sources to MS sensors can be obtained using the linear interpolation approach and the Runge–Kutta method.These methods were validated through a series of numerical experiments.In addition,our proposed method was applied to locate the recorded blasting and MS events that occurred during the excavation period of the underground caverns at the Houziyan hydropower station.The location results of the blasting activities show that our method can effectively reduce the location error compared with the results based on the uniform velocity model.Furthermore,the obtained MS location was verified through the occurrence of shotcrete fractures and spalling,and the monitoring results of the in-situ multipoint extensometer.Our proposed method can offer a more accurate rock fracture location and facilitate the delineation of damage zones inside the surrounding rock mass. 展开更多
关键词 Fast marching method Microseismic event location Cavern-containing complex rock mass Runge-Kutta method
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Fast precise integration method for hyperbolic heat conduction problems 认领 引用 被引量：6
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作者 吴峰 高强 钟万勰 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第7期791-800,共10页
A fast precise integration method is developed for the time integral of the hyperbolic heat conduction problem. The wave nature of heat transfer is used to analyze the structure of the matrix exponential, leading to t... A fast precise integration method is developed for the time integral of the hyperbolic heat conduction problem. The wave nature of heat transfer is used to analyze the structure of the matrix exponential, leading to the fact that the matrix exponential is sparse. The presented method employs the sparsity of the matrix exponential to improve the original precise integration method. The merits are that the proposed method is suitable for large hyperbolic heat equations and inherits the accuracy of the original version and the good computational efficiency, which are verified by two numerical examples. 展开更多
关键词 hyperbolic heat conduction sparse matrix precise integration method matrix exponential fast algorithm
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Joint 3D traveltime calculation based on fast marching method and wavefront construction 认领 引用 被引量：6
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作者 孙辉 孙建国 +5 位作者 孙章庆 韩复兴 刘明忱 刘志强 高正辉 石秀林 《Applied Geophysics》 SCIE CSCD 2017年第1期56-63,189,共8页
3D traveltime calculation is widely used in seismic exploration technologies such as seismic migration and tomography. The fast marching method （FMM） is useful for calculating 3D traveltime and has proven to be effi... 3D traveltime calculation is widely used in seismic exploration technologies such as seismic migration and tomography. The fast marching method （FMM） is useful for calculating 3D traveltime and has proven to be efficient and stable. However, it has low calculation accuracy near the source, which thus gives it low overall accuracy. This paper proposes a joint traveltime calculation method to solve this problem. The method firstly employs the wavefront construction method （WFC）, which has a higher calculation accuracy than FMM in calculating traveltime in the small area near the source, and secondly adopts FMM to calculate traveltime for the remaining grid nodes. Due to the increase in calculation precision of grid nodes near the source, this new algorithm is shown to have good calculation precision while maintaining the high calculation efficiency of FMM, which is employed in most of the computational area. Results are verified using various numerical models. 展开更多
关键词 Seismic wave propagation 3D traveltime computation fast marching method wavefront construction method
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A fast explicit finite difference method for determination of wellhead injection pressure 认领 引用 被引量：6
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作者 白冰 李小春 +2 位作者 刘明泽 石露 李琦 《Journal of Central South University》 SCIE EI CAS 2012年第11期3266-3272,共7页
A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditiona... A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditional numerical method of the same equations corroborates well the reliability and rate of FEFDM.Moreover,a flow rate estimate method was developed for the project whose injection rate has not been clearly determined.A wellhead pressure regime determined by this method was successfully applied to the trial injection operations in Shihezi formation of Shenhua CCS Project,which is a good practice verification of FEFDM.At last,this method was used to evaluate the effect of friction and acceleration terms on the flow equation on the wellhead pressure.The result shows that for deep wellbore,the friction term can be omitted when flow rate is low and in a wide range of velocity the acceleration term can always be deleted.It is also shown that with flow rate increasing,the friction term can no longer be neglected. 展开更多
关键词 wellhead pressure injection pressure bottom-hole pressure fast explicit finite difference method
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Calculation of all-time apparent resistivity of large loop transient electromagnetic method with very fast simulated annealing 认领 引用 被引量：7
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作者 李建慧 朱自强 +2 位作者 冯德山 肖建平 彭凌星 《Journal of Central South University》 SCIE EI CAS 2011年第4期1235-1239,共5页
In large loop transient electromagnetic method(TEM),the late time apparent resistivity formula cannot truly reflect the geoelectric model,thus it needs to define the all-time apparent resistivity with the position inf... In large loop transient electromagnetic method(TEM),the late time apparent resistivity formula cannot truly reflect the geoelectric model,thus it needs to define the all-time apparent resistivity with the position information of measuring point.Utilizing very fast simulated annealing(VFSA) to fit the theoretical electromagnetic force(EMF) and measured EMF could obtain the all-time apparent resistivity of the measuring points in rectangular transmitting loop.The selective cope of initial model of VFSA could be confirmed by taking the late time apparent resistivity of transient electromagnetic method as the prior information.For verifying the correctness,the all-time apparent resistivities of the geoelectric models were calculated by VFSA and dichotomy,respectively.The results indicate that the relative differences of apparent resistivities calculated by these two methods are within 3%.The change of measuring point position has little influence on the tracing pattern of all-time apparent resistivity.The first branch of the curve of all-time apparent resistivity is close to the resistivity of the first layer medium and the last branch is close to the resistivity of the last layer medium,which proves the correctness of the arithmetics proposed. 展开更多
关键词 very fast simulated annealing （VFSA） large loop transient electromagnetic method rectangular loop all-time apparent resistivity
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Analysis of Numerical Integration Error for Bessel Integral Identity in Fast Multipole Method for 2D Helmholtz Equation 认领 引用 被引量：6
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作者 吴海军 蒋伟康 刘轶军 《Journal of Shanghai Jiaotong university(Science)》 EI 2010年第6期690-693,共4页
In 2D fast multipole method for scattering problems,square quadrature rule is used to discretize the Bessel integral identity for diagonal expansion of 2D Helmholtz kernel,and numerical integration error is introduced... In 2D fast multipole method for scattering problems,square quadrature rule is used to discretize the Bessel integral identity for diagonal expansion of 2D Helmholtz kernel,and numerical integration error is introduced. Taking advantage of the relationship between Euler-Maclaurin formula and trapezoidal quadrature rule,and the relationship between trapezoidal and square quadrature rule,sharp computable bound with analytical form on the error of numerical integration of Bessel integral identity by square quadrature rule is derived in this paper. Numerical experiments are presented at the end to demonstrate the accuracy of the sharp computable bound on the numerical integration error. 展开更多
关键词 Bessel integralidentity fast multipole method boundary element method 2D Helmholtz equation
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Power System State Estimation Solution With Zero Injection Constraints Using Modified Newton Method and Fast Decoupled Method in Polar Coordinate 认领 引用 被引量：14
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作者 GUO Ye ZHANG Boming +1 位作者 WU Wenchuag SUN Hongbin 《中国电机工程学报》 EI CSCD 北大核心 2012年第22期I0015-I0015,11,共1页
In actual power systems,most of the high-voltage buses of the transformers are zero injection buses without load or generation.Power injections into these buses are strictly 0,so based on Kirchhoff's current law(K... In actual power systems,most of the high-voltage buses of the transformers are zero injection buses without load or generation.Power injections into these buses are strictly 0,so based on Kirchhoff's current law(KCL),equality constraints should be used to handle these buses in a state estimation model.It is a challenge to ensure that these zero injection constraints can be strictly satisfied without losing computational efficiency. 展开更多
关键词 state estimation zero injection equality constraints polar coordinate modified Newton method modified fast decoupled state estimation
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A Fixed-Point Fast Sweeping WENO Method with Inverse Lax-Wendroff Boundary Treatment for Steady State of Hyperbolic Conservation Laws 认领 引用 被引量：4
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作者 Liang Li Jun Zhu +1 位作者 Chi-Wang Shu Yong-Tao Zhang 《Communications on Applied Mathematics and Computation》 2023年第1期403-427,共25页
Fixed-point fast sweeping WENO methods are a class of efficient high-order numerical methods to solve steady-state solutions of hyperbolic partial differential equations(PDEs).The Gauss-Seidel iterations and alternati... Fixed-point fast sweeping WENO methods are a class of efficient high-order numerical methods to solve steady-state solutions of hyperbolic partial differential equations(PDEs).The Gauss-Seidel iterations and alternating sweeping strategy are used to cover characteristics of hyperbolic PDEs in each sweeping order to achieve fast convergence rate to steady-state solutions.A nice property of fixed-point fast sweeping WENO methods which distinguishes them from other fast sweeping methods is that they are explicit and do not require inverse operation of nonlinear local systems.Hence,they are easy to be applied to a general hyperbolic system.To deal with the difficulties associated with numerical boundary treatment when high-order finite difference methods on a Cartesian mesh are used to solve hyperbolic PDEs on complex domains,inverse Lax-Wendroff(ILW)procedures were developed as a very effective approach in the literature.In this paper,we combine a fifthorder fixed-point fast sweeping WENO method with an ILW procedure to solve steadystate solution of hyperbolic conservation laws on complex computing regions.Numerical experiments are performed to test the method in solving various problems including the cases with the physical boundary not aligned with the grids.Numerical results show highorder accuracy and good performance of the method.Furthermore,the method is compared with the popular third-order total variation diminishing Runge-Kutta(TVD-RK3)time-marching method for steady-state computations.Numerical examples show that for most of examples,the fixed-point fast sweeping method saves more than half CPU time costs than TVD-RK3 to converge to steady-state solutions. 展开更多
关键词 Fixed-point fast sweeping methods Multi-resolution WENO schemes Steady state ILW procedure Convergence
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Trajectory tracking and obstacle avoidance method for robots based on fast terminal sliding mode 认领 引用 被引量：2
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作者 CAO Zhi-bin YANG Wei +1 位作者 SHAO Xing-ling LIU Ning 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2020年第1期78-86,共9页
For accurate trajectory tracking and obstacle avoidance in finite time of a nonholonomic mobile robot,a trajectory tracking controller based on global fast terminal sliding mode method is proposed,which has the advant... For accurate trajectory tracking and obstacle avoidance in finite time of a nonholonomic mobile robot,a trajectory tracking controller based on global fast terminal sliding mode method is proposed,which has the advantages of chattering-free and adjustable convergence time.First of all,the kinematics model of the robot is established in mobile carrier coordinates.Secondly,the global structure including terminal attractor and exponential convergence of the fast terminal sliding mode trajectory tracking controller is proved by Lyapunov stability theory,ensuring that the trajectory and heading angle tracking error converges to a smaller zero range in finite time.Finally,the artificial potential field obstacle avoidance method is introduced to make the robot not only track the reference trajectory strictly,but also avoid the obstacles.The simulation results show that the proposed method can achieve a stable tracking control in finite time for a given reference trajectory. 展开更多
关键词 trajectory tracking global fast terminal sliding mode adjustable convergence time chattering free artificial potential field method
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Application of the extended Fourier amplitude sensitivity testing(FAST)method to inflated,axial stretched,and residually stressed cylinders 认领 引用 被引量：2
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作者 H.ASGHARI H.TOPOL +1 位作者 B.MARKERT J.MERODIO 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2023年第12期2139-2162,共24页
This paper is dedicated to applying the Fourier amplitude sensitivity test(FAST)method to the problem of mixed extension and inflation of a circular cylindrical tube in the presence of residual stresses.The metafuncti... This paper is dedicated to applying the Fourier amplitude sensitivity test(FAST)method to the problem of mixed extension and inflation of a circular cylindrical tube in the presence of residual stresses.The metafunctions and the Ishigami function are considered in the sensitivity analysis(SA).The effects of the input variables on the output variables are investigated,and the most important parameters of the system under the applied pressure and axial force such as the axial stretch and the azimuthal stretch are determined. 展开更多
关键词 sensitivity analysis(SA) Fourier amplitude sensitivity test(FAST)method cylindrical inflation nonlinear elasticity
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