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Error Analysis of Geomagnetic Field Reconstruction Model Using Negative Learning for Seismic Anomaly Detection 认领 引用
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作者 Nur Syaiful Afrizal Khairul Adib Yusof +5 位作者 Lokman Hakim Muhamad Nurul Shazana Abdul Hamid Mardina Abdullah Mohd Amiruddin Abd Rahman Syamsiah Mashohor Masashi Hayakawa 《Computers, Materials & Continua》 SCIE EI 2026年第2期1338-1353,共16页
Detecting geomagnetic anomalies preceding earthquakes is a challenging yet promising area of research that has gained increasing attention in recent years.This study introduces a novel reconstruction-based modeling ap... Detecting geomagnetic anomalies preceding earthquakes is a challenging yet promising area of research that has gained increasing attention in recent years.This study introduces a novel reconstruction-based modeling approach enhanced by negative learning,employing a Bidirectional Long Short-Term Memory(BiLSTM)network explicitly trained to accurately reconstruct non-seismic geomagnetic signals while intentionally amplifying reconstruction errors for seismic signals.By penalizing the model for accurately reconstructing seismic anomalies,the negative learning approach effectively magnifies the differences between normal and anomalous data.This strategic differentiation enhances the sensitivity of the BiLSTM network,enabling improved detection of subtle geomagnetic anomalies that may serve as earthquake precursors.Experimental validation clearly demonstrated statistically significant higher reconstruction errors for seismic signals compared to non-seismic signals,confirmed through the Mann-Whitney U test with a p-value of 0.0035 for Root Mean Square Error(RMSE).These results provide compelling evidence of the enhanced anomaly detection capability achieved through negative learning.Unlike traditional classification-based methods,negative learning explicitly encourages sensitivity to subtle precursor signals embedded within complex geomagnetic data,establishing a robust basis for further development of reliable earthquake prediction methods. 展开更多
关键词 Error analysis geomagnetic field BiLSTM model negative learning earthquake precursor
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Error Analysis of MSAV Scheme for Two Phase Magnetohydrodynamic Diffuse Interface Model 认领 引用
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作者 HU Kun WANG Danxia +1 位作者 ZHANG Jianwen JIA Hongen 《应用数学》 北大核心 2025年第2期348-371,共24页
In this paper,we develop a multi-scalar auxiliary variables(MSAV)scheme for the Cahn-Hilliard Magnetohydrodynamics system by introducing two scalar auxiliary variables(SAV).This scheme is linear,fully decoupled and un... In this paper,we develop a multi-scalar auxiliary variables(MSAV)scheme for the Cahn-Hilliard Magnetohydrodynamics system by introducing two scalar auxiliary variables(SAV).This scheme is linear,fully decoupled and unconditionally stable in energy.Subsequently,we provide a detailed implementation procedure for full decoupling.Thus,at each time step,only a series of linear differential equations with constant coefficients need to be solved.To validate the effectiveness of our approach,we conduct an error analysis for this first-order scheme.Finally,some numerical experiments are provided to verify the energy dissipation of the system and the convergence of the proposed approach. 展开更多
关键词 Cahn-Hilliard Magnetohydrodynamics system Fully decoupled Stability in energy Error analysis
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Error Analysis of Adsorption Isotherm Models for Acid Dyes onto Bamboo Derived Activated Carbon 认领 引用 被引量：7
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作者 L.S.Chan W.H.Cheung +1 位作者 S.J.Allen G.McKay 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第3期535-542,共8页
High surface area activated carbons were produced by thermal activation of waste bamboo scaffolding with phosphoric acid.Single component equilibrium dye adsorption was conducted on the carbons produced and compared w... High surface area activated carbons were produced by thermal activation of waste bamboo scaffolding with phosphoric acid.Single component equilibrium dye adsorption was conducted on the carbons produced and compared with a commercially available carbon.Two acid dyes with different molecular sizes,namely Acid Yellow 117(AY117) and Acid Blue 25(AB25),were used to evaluate the adsorption capacity of the produced carbons.It was found that the dye with smaller molecular size,AB 25,was readily adsorbed onto the produced carbon,nearly three times higher than a commercially available carbon,while the larger size dye,AY117,showed little adsorption.The experimental data were analyzed using isotherm equations including Langmuir,Freundlich,Tempkin,Toth,Redlich-Peterson and Sips equations.The equilibrium data were then analyzed using five different non-linear error analysis methods. 展开更多
关键词 adsorption activated carbon acid dye equilibrium isotherm error analysis bamboo
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3-D fracture network dynamic simulation based on error analysis in rock mass of dam foundation 认领 引用 被引量：5
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作者 ZHONG Deng-hua WU Han +2 位作者 WU Bin-ping ZHANG Yi-chi YUE Pan 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第4期919-935,共17页
Accurate 3-D fracture network model for rock mass in dam foundation is of vital importance for stability,grouting and seepage analysis of dam foundation.With the aim of reducing deviation between fracture network mode... Accurate 3-D fracture network model for rock mass in dam foundation is of vital importance for stability,grouting and seepage analysis of dam foundation.With the aim of reducing deviation between fracture network model and measured data,a 3-D fracture network dynamic modeling method based on error analysis was proposed.Firstly,errors of four fracture volume density estimation methods(proposed by ODA,KULATILAKE,MAULDON,and SONG)and that of four fracture size estimation methods(proposed by EINSTEIN,SONG and TONON)were respectively compared,and the optimal methods were determined.Additionally,error index representing the deviation between fracture network model and measured data was established with integrated use of fractal dimension and relative absolute error(RAE).On this basis,the downhill simplex method was used to build the dynamic modeling method,which takes the minimum of error index as objective function and dynamically adjusts the fracture density and size parameters to correct the error index.Finally,the 3-D fracture network model could be obtained which meets the requirements.The proposed method was applied for 3-D fractures simulation in Miao Wei hydropower project in China for feasibility verification and the error index reduced from 2.618 to 0.337. 展开更多
关键词 rock mass of dam foundation 3-D fracture network dynamic simulation fractal dimension error analysis relative absolute error(RAE) downhill simplex method
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Error Analysis of FLC Experimental Data at Warm/Hot Stamping Conditions 认领 引用 被引量：1
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作者 ZHUANG Weimin ZHANG Mengxi CHEN Yanhong 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2014年第4期730-737,共8页
Forming limit curves（FLCs） are commonly used for evaluating the formability of sheet metals. However, it is difficult to obtain the FLCs with desirable accuracy by experiments due to that the friction effects are no... Forming limit curves（FLCs） are commonly used for evaluating the formability of sheet metals. However, it is difficult to obtain the FLCs with desirable accuracy by experiments due to that the friction effects are non-negligible under warm/hot stamping conditions. To investigate the experimental errors, experiments for obtaining the FLCs of the AA5754 are conducted at 250℃. Then, FE models are created and validated on the basis of experimental results. A number of FE simulations are carried out for FLC test-pieces and punches with different geometry configurations and varying friction coefficients between the test-piece and the punch. The errors for all the test conditions are predicted and analyzed. Particular attention of error analysis is paid to two special cases, namely, the biaxial FLC test and the uniaxial FLC test. The failure location and the variation of the error with respect to the friction coefficient are studied as well. The results obtained from the FLC tests and the above analyses show that, for the biaxial tension state, the friction coefficient should be controlled within 0.15 to avoid significant shifting of the necking location away from the center of the punch; for the uniaxial tension state, the friction coefficient should be controlled within 0.1 to guarantee the validity of the data collected from FLC tests. The conclusions summarized are beneficial for obtaining accurate FLCs under warm/hot stamping conditions. 展开更多
关键词 forming limit curve（FLC） error analysis warm/hot stamping finite element analysis
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NOVEL METHOD FOR ERROR ANALYSIS AND SELF-CALIBRATION OF LASER TRACKING MIRROR MECHANISM 认领 引用 被引量：2
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作者 OUYANG Jianfei LIU Wanli +2 位作者 QU Xinghua YAN Yonggang WANG Zhankui 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS 2008年第4期1-6,共6页
Laser tracking system （LTS） is an advanced device for large size 3D coordinates measuring with the advantages of broad range, high speed and high accuracy. However, its measuring accuracy is highly dominated by the ... Laser tracking system （LTS） is an advanced device for large size 3D coordinates measuring with the advantages of broad range, high speed and high accuracy. However, its measuring accuracy is highly dominated by the geometric errors of the tracking mirror mechanism. Proper calibration of LTS is essential prior to the use of it for metrology. A kinematics model that describes not only the motion but also the geometric variations of LTS is developed. Through error analysis of the proposed model, it is claimed that gimbals axis misalignments and tracking mirror center off-set are the key contributors to measuring errors of LTS. A self-calibration method is presented of calibrating LTS with planar constraints. Various calibration strategies utilizing single-plane and multiple-plane constraints are proposed for different situations. For each calibration strategy, issues about the error parameter estimation of LTS are exploded to find out in which conditions these parameters can be uniquely estimated. Moreover, these conditions reveal the applicability of the planar constraints to LTS self-calibration. Intensive studies have been made to check validity of the theoretical results. The results show that the measuring accuracy of LTS has increased by 5 times since this technique for calibration is used. 展开更多
关键词 Laser tracking Error analysis Self-calibration Planar constraints Tracking mirror
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Convergence ball and error analysis of Ostrowski-Traub’s method 认领 引用 被引量：1
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作者 BI Wei-hong WU Qing-biao REN Hong-min 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2010年第3期374-378,共5页
Under the hypotheses that the second-order and third-order derivatives of a function are bounded, an estimate of the radius of the convergence ball of Ostrowski-Traub＇s method is obtained. An error analysis is given ... Under the hypotheses that the second-order and third-order derivatives of a function are bounded, an estimate of the radius of the convergence ball of Ostrowski-Traub＇s method is obtained. An error analysis is given which matches the convergence order of the method. Finally, two examples are provided to show applications of our theorem. 展开更多
关键词 Ostrowski-Traub＇s method nonlinear equation convergence ball estimate of radius error analysis
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Instantaneous rotation speed measurement and error analysis for variable speed hydraulic system 认领 引用 被引量：1
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作者 杨彬 谷立臣 +1 位作者 刘永 王平 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2015年第4期315-321,共7页
In order to monitor the working state of piston motor and measure its instantaneous rotation speed accurately, the measuring principle and method of instantaneous rotation speed based on industrial personal computer a... In order to monitor the working state of piston motor and measure its instantaneous rotation speed accurately, the measuring principle and method of instantaneous rotation speed based on industrial personal computer and data acquisition card are introduced, and the major error source, influence mechanism and processing method of data quantization error are dis- cussed. By means of hybrid programming approach of LabVIEW and MATLAB, the instantaneous rotation speed measurement system for the piston motor in variable speed hydraulic system is designed. The simulation and experimental results show that the designed instantaneous speed measurement system is feasible. Furthermore, the sampling frequency has an important influ- ence on the instantaneous rotation speed measurement of piston motor and higher sampling frequency can lower quantization er- ror and improve measurement accuracy. 展开更多
关键词 variable speed hydraulic system instantaneous rotation speed measurement error analysis hybrid programming
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Measurement of vegetation parameters and error analysis based on Monte Carlo method 认领 引用 被引量：1
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作者 LIANG Boyi LIU Suhong 《Journal of Geographical Sciences》 SCIE CSCD 2018年第6期819-832,共14页
In this paper we bring up a Monte Carlo theory based method to measure the ground vegetation parameters,and make quantitative description of the error.The leaf area index is used as the example in the study.Its mean a... In this paper we bring up a Monte Carlo theory based method to measure the ground vegetation parameters,and make quantitative description of the error.The leaf area index is used as the example in the study.Its mean and variance stability at different scales or in different time is verified using both the computer simulation and the statistics of remotely sensed images.And the error of Monte Carlo sampling method is analyzed based on the normal distribution theory and the central-limit theorem.The results show that the variance of leaf area index in the same area is stable at certain scales or in the same time of different years.The difference between experimental results and theoretical ones is small.The sig-nificance of this study is to establish a measurement procedure of ground vegetation pa-rameters with an error control system. 展开更多
关键词 remote sensing vegetation parameter error analysis GLASS LAIoduction
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Error Analysis of Three Degree-of-Freedom Changeable Parallel Measuring Mechanism 认领 引用 被引量：7
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作者 CHENG Gang GE Shi-rong WANG Yong 《Journal of China University of Mining and Technology》 2007年第1期101-104,共4页
A three degree-of-freedom (DOF) planar changeable parallel mechanism is designed by means of control of different drive parameters. This mechanism possesses the characteristics of two kinds of parallel mechanism. Base... A three degree-of-freedom (DOF) planar changeable parallel mechanism is designed by means of control of different drive parameters. This mechanism possesses the characteristics of two kinds of parallel mechanism. Based on its topologic structure, a coordinate system for position analysis is set-up and the forward kinematic solutions are analyzed. It was found that the parallel mechanism is partially decoupled. The relationship between original errors and position-stance error of moving platform is built according to the complete differential-coefficient theory. Then we present a special example with theory values and errors to evaluate the error model, and numerical error solutions are gained. The investigations concentrating on mechanism errors and actuator errors show that the mechanism errors have more influences on the position-stance of the moving platform. It is demonstrated that improving manufacturing and assembly techniques can greatly reduce the moving platform error. The small change in position-stance error in different kinematic positions proves that the error-compensation of software can improve considerably the precision of parallel mechanism. 展开更多
关键词 parallel mechanism changeable measuring mechanism kinematics forward analysis error model error analysis
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Data processing and error analysis for the CE-1 Lunar microwave radiometer 认领 引用 被引量：1
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作者 Jian-Qing Feng Yan Su +2 位作者 Jian-Jun Liu Yong-Liao Zou Chun-Lai Li 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2013年第3期359-372,共14页
The microwave radiometer （MRM） onboard the Chang＇ E-1 （CE-I） lu- nar orbiter is a 4-frequency microwave radiometer, and it is mainly used to obtain the brightness temperature （TB） of the lunar surface, from whi... The microwave radiometer （MRM） onboard the Chang＇ E-1 （CE-I） lu- nar orbiter is a 4-frequency microwave radiometer, and it is mainly used to obtain the brightness temperature （TB） of the lunar surface, from which the thickness, temperature, dielectric constant and other related properties of the lunar regolith can be derived. The working mode of the CE-1 MRM, the ground calibration （including the official calibration coefficients）, as well as the acquisition and processing of the raw data are introduced. Our data analysis shows that TB increases with increasing frequency, decreases towards the lunar poles and is significantly affected by solar illumination. Our analysis also reveals that the main uncertainty in TB comes from ground calibration. 展开更多
关键词 space vehicles -- instruments： microwave radiometer -- Moon： bright-ness temperature -- method： data processing -- error analysis
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A Survey of Error Analysis and Calibration Methods for MEMS Triaxial Accelerometers 认领 引用
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作者 Bo Xiao Yinghang Jiang +2 位作者 Qi Liu Xiaodong Liu Mingxu Sun 《Computers, Materials & Continua》 SCIE EI 2020年第7期389-399,共11页
MEMS accelerometers are widely used in various fields due to their small size and low cost,and have good application prospects.However,the low accuracy limits its range of applications.To ensure data accuracy and safe... MEMS accelerometers are widely used in various fields due to their small size and low cost,and have good application prospects.However,the low accuracy limits its range of applications.To ensure data accuracy and safety we need to calibrate MEMS accelerometers.Many authors have improved accelerometer accuracy by calculating calibration parameters,and a large number of published calibration methods have been confusing.In this context,this paper introduces these techniques and methods,analyzes and summarizes the main error models and calibration procedures,and provides useful suggestions.Finally,the content of the accelerometer calibration method needs to be overcome. 展开更多
关键词 MEMS accelerometer calibration error analysis accelerometer calibration
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A numerical error analysis method and its application on a 4RRR parallel kinematic machine 认领 引用
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作者 刘大炜 Wang Liping +2 位作者 Li Tiemin Tang Limin Guo Zhiping 《High Technology Letters》 EI CAS 2010年第4期345-351,共7页
To guarantee the accuracy of error analysis and evaluate the manufacturing tolerance s influence,anumerical error analysis method for parallel kinematic machines (PKMs) is presented in this paper.Quasi-Newton method a... To guarantee the accuracy of error analysis and evaluate the manufacturing tolerance s influence,anumerical error analysis method for parallel kinematic machines (PKMs) is presented in this paper.Quasi-Newton method and genetic algorithm are introduced for the forward kinematic solution.Based onthe inverse and forward kinematic solutions,the end-effector s error calculation procedure is developed.To solve the accuracy problem caused by the length and angular parameters' different units,a normalizationmethod is proposed based on the manufacturing tolerance.Comparison between the error analysis resultscalculated by the traditional method and the numerical method for a 4RRR PKM shows that,this numericalerror analysis method is more accurate,simpler,and can evaluate the machine s real error basedon the manufacturing tolerance. 展开更多
关键词 parallel kinematic machine （PKMs） error analysis error normalization quasi-Newton method genetic algorithm
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Ebulliometric Method Based on Error Analysis Equation 认领 引用
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作者 李浩然 陈志荣 韩世钧 《Chinese Journal of Chemical Engineering》 SCIE EI CAS 2001年第4期354-358,共5页
Ebulliometric method based on the error analysis equation is presented for systems with the large phase equilibrium constant. Application is given for the determination and calculation of binary vapor-liquid equilibri... Ebulliometric method based on the error analysis equation is presented for systems with the large phase equilibrium constant. Application is given for the determination and calculation of binary vapor-liquid equilibrium data for the ethanol+n-hexane system. It is also given the comparison results between the ebulliometric method based on the error analysis equation and the quasi-static method. 展开更多
关键词 vapor-liquid equilibrium ebulliometer error analysis
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Error Analysis of Robotic Assembly System Based on Screw Theory 认领 引用
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作者 韩卫军 费燕琼 赵锡芳 《Journal of Donghua University(English Edition)》 EI CAS 2003年第3期72-77,共6页
Assembly errors have great influence on assembly quality in robotic assembly systems. Error analysis is directed to the propagations and accumula-tions of various errors and their effect on assembly success.Using the ... Assembly errors have great influence on assembly quality in robotic assembly systems. Error analysis is directed to the propagations and accumula-tions of various errors and their effect on assembly success.Using the screw coordinates, assembly errors are represented as 'error twist', the extremely compact expression. According to the law of screw composition, relative position and orientation errors of mating parts are computed and the necessary condition of assembly success is concluded. A new simple method for measuring assembly errors is also proposed based on the transformation law of a screw.Because of the compact representation of error, the model presented for error analysis can be applied to various part- mating types and especially useful for error analysis of complexity assembly. 展开更多
关键词 robotic assembly system screw theory error twist error analysis
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Error Analysis and Compensation of Strapdown Inertial Navigation System 认领 引用 被引量：26
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作者 刘勤 刘莉 祁载康 《Journal of Beijing Institute of Technology》 EI CAS 2002年第2期117-120,共4页
Based on error analysis, the influence of error sources on strapdown inertial navigation systems is discussed. And the maximum permissible component tolerances are established. In order to achieve the desired accuracy... Based on error analysis, the influence of error sources on strapdown inertial navigation systems is discussed. And the maximum permissible component tolerances are established. In order to achieve the desired accuracy (defined by circular error probability), the types of appropriate sensors are chosen. The inertial measurement unit (IMU) is composed of those sensors. It is necessary to calibrate the sensors to obtain their error model coefficients of IMU. After calibration tests, the accuracy is calculated by uniform design method and it is proved that the accuracy of IMU is satisfied for the desired goal. 展开更多
关键词 error analysis strapdown inertial navigation system uniform design method calibration test
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In-situ strain measurement and error analysis of arc welding with 2D digital image correlation 认领 引用 被引量：4
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作者 Huang Honghao Hu Minghua +2 位作者 Xu Aijie Song Yulin Chen Huabin 《China Welding》 CAS 2022年第3期17-23,共7页
The deformation and residual stress generated by the welding process can seriously affect the use of components.As a result,it is very important to understand the evolution of stress and strain during the welding proc... The deformation and residual stress generated by the welding process can seriously affect the use of components.As a result,it is very important to understand the evolution of stress and strain during the welding process.The strain measurement method based on digital image correlation(DIC)is an excellent method to detect welding strain and residual stress.The out-of-plane translation and out-of-plane rotation introduce errors to the two-dimensional DIC.In this paper,the causes of errors are analyzed theoretically,and the formulas of errors caused by the out-of-plane displacement and the out-of-plane rotation are derived.The out-of-plane translation experiment and the out-of-plane rotation experiment were carried out to verify the theory,and the experimental results are consistent with the theoretical analysis results.The error caused by the out-of-plane translation can be reduced by increasing the object distance;the error caused by the out-of-plane rotation is greatly affected by the rotation angle. 展开更多
关键词 arc welding digital image correlation strain measurement error analysis
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Attractive Multistep Reproducing Kernel Approach for Solving Stiffness Differential Systems of Ordinary Differential Equations and Some Error Analysis 认领 引用 被引量：1
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作者 Radwan Abu-Gdairi Shatha Hasan +2 位作者 Shrideh Al-Omari Mohammad Al-Smadi Shaher Momani 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第1期299-313,共15页
In this paper,an efficient multi-step scheme is presented based on reproducing kernel Hilbert space(RKHS)theory for solving ordinary stiff differential systems.The solution methodology depends on reproducing kernel fu... In this paper,an efficient multi-step scheme is presented based on reproducing kernel Hilbert space(RKHS)theory for solving ordinary stiff differential systems.The solution methodology depends on reproducing kernel functions to obtain analytic solutions in a uniform formfor a rapidly convergent series in the posed Sobolev space.Using the Gram-Schmidt orthogonality process,complete orthogonal essential functions are obtained in a compact field to encompass Fourier series expansion with the help of kernel properties reproduction.Consequently,by applying the standard RKHS method to each subinterval,approximate solutions that converge uniformly to the exact solutions are obtained.For this purpose,several numerical examples are tested to show proposed algorithm’s superiority,simplicity,and efficiency.The gained results indicate that themulti-step RKHSmethod is suitable for solving linear and nonlinear stiffness systems over an extensive duration and giving highly accurate outcomes. 展开更多
关键词 Multi-step approach reproducing kernel Hilbert space method stiffness system error analysis numerical solution
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Dynamics modeling and error analysis for antenna pointing mechanisms with frictional spatial revolute joints on SE(3) 认领 引用 被引量：1
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作者 Long LI Shengnan LYU Xilun DING 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2022年第8期265-279,共15页
This paper presents a non-smooth multibody dynamic formulation and error analysis of an antenna pointing mechanism including frictional spatial revolute joints(FSRJs)with small clearance in the framework of the specia... This paper presents a non-smooth multibody dynamic formulation and error analysis of an antenna pointing mechanism including frictional spatial revolute joints(FSRJs)with small clearance in the framework of the special Euclidian group SE(3).The formulation leads to an inertial frame-invariant,a compact and unified description for rigid bodies and spatial revolute joints(SRJs).The geometric constraint of the bearing is covered by four open semi-cylinders,which can be treated as bilateral constraints assuming that the impact effects are negligible.The frictional contact problem is formulated as a horizontal linear complementary problem(HLCP),which is embedded in the Lie-group integration scheme.Error of the antenna pointing mechanism is modeled by means of the adjoint transformation and POE-based formula.The evolution of errors is obtained through the solution of non-smooth dynamics.The obtained numerical results illustrate the influences of FSRJs in dynamics modeling and error analysis of the antenna pointing mechanism. 展开更多
关键词 LCP Lie-group integration Mechanism error analysis Non-smooth dynamics Spatial revolute joints
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Error Analysis of A New Higher Order Boundary Element Method for A Uniform Flow Passing Cylinders 认领 引用
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作者 SUN Shi-yan CUI Jie BAO Chao-ming 《China Ocean Engineering》 SCIE EI CSCD 2023年第3期369-377,共9页
A higher order boundary element method(HOBEM)is presented for inviscid flow passing cylinders in bounded or unbounded domain.The traditional boundary integral equation is established with respect to the velocity poten... A higher order boundary element method(HOBEM)is presented for inviscid flow passing cylinders in bounded or unbounded domain.The traditional boundary integral equation is established with respect to the velocity potential and its normal derivative.In present work,a new integral equation is derived for the tangential velocity.The boundary is discretized into higher order elements to ensure the continuity of slope at the element nodes.The velocity potential is also expanded with higher order shape functions,in which the unknown coefficients involve the tangential velocity.The expansion then ensures the continuities of the velocity and the slope of the boundary at element nodes.Through extensive comparison of the results for the analytical solution of cylinders,it is shown that the present HOBEM is much more accurate than the conventional BEM. 展开更多
关键词 higher order boundary element method(HOBEM) error analysis integral equations for potential and velocity cylinders
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