Complex terrain causes great MT noise.This paper puts forward a FEM model method using adaptive topography and quadratic elements based on studies by previous researchers.This method can model all kinds of complicated...Complex terrain causes great MT noise.This paper puts forward a FEM model method using adaptive topography and quadratic elements based on studies by previous researchers.This method can model all kinds of complicated terrain and geoelectric bodies preferably.The numeric modeling,calculation of the auxiliary field and definition of resistivity are deduced by electromagnetic equations.Lastly,several examples are presented,which show the method is rapid,effective and has highly accurate.展开更多
The element energy projection （EEP） method for computation of super- convergent resulting in a one-dimensional finite element method （FEM） is successfully used to self-adaptive FEM analysis of various linear probl...The element energy projection （EEP） method for computation of super- convergent resulting in a one-dimensional finite element method （FEM） is successfully used to self-adaptive FEM analysis of various linear problems, based on which this paper presents a substantial extension of the whole set of technology to nonlinear problems. The main idea behind the technology transfer from linear analysis to nonlinear analysis is to use Newton＇s method to linearize nonlinear problems into a series of linear problems so that the EEP formulation and the corresponding adaptive strategy can be directly used without the need for specific super-convergence formulation for nonlinear FEM. As a re- sult, a unified and general self-adaptive algorithm for nonlinear FEM analysis is formed. The proposed algorithm is found to be able to produce satisfactory finite element results with accuracy satisfying the user-preset error tolerances by maximum norm anywhere on the mesh. Taking the nonlinear ordinary differential equation （ODE） of second-order as the model problem, this paper describes the related fundamental idea, the imple- mentation strategy, and the computational algorithm. Representative numerical exam- ples are given to show the efficiency, stability, versatility, and reliability of the proposed approach.展开更多
Based on the newly-developed element energy projection （EEP） method with optimal super-convergence order for computation of super-convergent results, an improved self-adaptive strategy for one-dimensional finite ele...Based on the newly-developed element energy projection （EEP） method with optimal super-convergence order for computation of super-convergent results, an improved self-adaptive strategy for one-dimensional finite element method （FEM） is proposed. In the strategy, a posteriori errors are estimated by comparing FEM solutions to EEP super-convergent solutions with optimal order of super-convergence, meshes are refined by using the error-averaging method. Quasi-FEM solutions are used to replace the true FEM solutions in the adaptive process. This strategy has been found to be simple, clear, efficient and reliable. For most problems, only one adaptive step is needed to produce the required FEM solutions which pointwise satisfy the user specified error tolerances in the max-norm. Taking the elliptical ordinary differential equation of the second order as the model problem, this paper describes the fundamental idea, implementation strategy and computational algorithm and representative numerical examples are given to show the effectiveness and reliability of the proposed approach.展开更多
Based on the newly-developed element energy projection （EEP） method for computation of super-convergent results in one-dimensional finite element method （FEM）, the task of self-adaptive FEM analysis was converted ...Based on the newly-developed element energy projection （EEP） method for computation of super-convergent results in one-dimensional finite element method （FEM）, the task of self-adaptive FEM analysis was converted into the task of adaptive piecewise polynomial interpolation. As a result, a satisfactory FEM mesh can be obtained, and further FEM analysis on this mesh would immediately produce an FEM solution which usually satisfies the user specified error tolerance. Even though the error tolerance was not completely satisfied, one or two steps of further local refinements would be sufficient. This strategy was found to be very simple, rapid, cheap and efficient. Taking the elliptical ordinary differential equation of second order as the model problem, the fundamental idea, implementation strategy and detailed algorithm are described. Representative numerical examples are given to show the effectiveness and reliability of the proposed approach.展开更多
A new adaptive technique of r-and h-version for vibration problemsutilizing the matrix per- turbation theory and element energy ratiois proposed. In structural vibration analysis, through the r-conver-gence adaptvie f...A new adaptive technique of r-and h-version for vibration problemsutilizing the matrix per- turbation theory and element energy ratiois proposed. In structural vibration analysis, through the r-conver-gence adaptvie finite element process, mesh optimization can berealized. In the light of the judgement on the changes in themagnitude of the element energy ratio, local refinement can beachieved in the process of h- convergence adaptive finite element sothat more accurate finite element solutions can be obtained with asfew meshes as possible. Many numerical examples are given and theproposed approach is shown to be feasible and effective.展开更多
A mixed displacement-pressure updated Lagrange FEM was used to simulate the severe plastic deformation, which can overcome shear locking and volume locking. Together with adaptive remeshing technique based on strain g...A mixed displacement-pressure updated Lagrange FEM was used to simulate the severe plastic deformation, which can overcome shear locking and volume locking. Together with adaptive remeshing technique based on strain gradient and surface curvature, the strain localization in severe plastic deformation can be captured. Schiffmann damage density was used to predict the developments of damage and fracture in sheet metal. The intensive dislocation and slip appear under the action of severe shear deformation, and metallic grains are flattened and elongated in shear band. Because of the existence of large radius of die edge, the flow direction of grains changes, and the grains are elongated and simultaneous. As a result, it is not easy to cut the grains off, and outer surfaces with clean cut are formed.展开更多
对于自由振动问题,基于单元能量投影(element energy projection, EEP)技术,对频率和模态同时进行误差控制的自适应有限元分析已建立,并被证明可靠且高效。在实际应用中,也存在另一类需求,即只需保证频率的精度,而并不关心模态误差大小...对于自由振动问题,基于单元能量投影(element energy projection, EEP)技术,对频率和模态同时进行误差控制的自适应有限元分析已建立,并被证明可靠且高效。在实际应用中,也存在另一类需求,即只需保证频率的精度,而并不关心模态误差大小。该研究提出了频率超收敛计算方案,继而建立了整体频率误差和局部模态误差的转换关系,从而在整体上以频率误差估计控制算法停机,在局部上以模态误差估计驱动网格更新,最终建立了以频率误差控制为目标的自由振动问题自适应有限元分析策略。该方法的有效性在二阶Sturm-Liouville问题及弹性薄膜自由振动问题上得到了应用验证。展开更多
目的针对传统有限元法(finite element method,FEM)分析全髋关节置换(total hip arthroplasty,THA)后压电股骨重建时精度低的问题,采用边光滑有限元法(edge-based smoothed finite element method,ES-FEM)对植入假体后压电股骨近端的骨...目的针对传统有限元法(finite element method,FEM)分析全髋关节置换(total hip arthroplasty,THA)后压电股骨重建时精度低的问题,采用边光滑有限元法(edge-based smoothed finite element method,ES-FEM)对植入假体后压电股骨近端的骨重建进行仿真分析。方法根据自适应骨重建理论,建立假体-压电股骨模型。基于模型的背景网格构建光滑域,引入梯度光滑技术,求解出光滑的重建刺激,进而得到术后压电股骨近端的密度分布。结果植入假体后,受力点由股骨头转移到假体,出现应力屏蔽现象,股骨内部表观密度的分布发生明显变化。相比于FEM,ES-FEM在一定程度上能软化数值模型,提高仿真精度。在相同的网格下,电势和密度的求解精度分别提高27%和30%左右。结论采用ES-FEM能够更精确地模拟出THA术后压电股骨近端的骨重建进程,为THA临床研究提供有效的理论依据。展开更多
To improve the accuracy of modulated signal recognition in variable environments and reduce the impact of factors such as lack of prior knowledge on recognition results,researchers have gradually adopted deep learning...To improve the accuracy of modulated signal recognition in variable environments and reduce the impact of factors such as lack of prior knowledge on recognition results,researchers have gradually adopted deep learning techniques to replace traditional modulated signal processing techniques.To address the problem of low recognition accuracy of the modulated signal at low signal-to-noise ratios,we have designed a novel modulation recognition network of multi-scale analysis with deep threshold noise elimination to recognize the actually collected modulated signals under a symmetric cross-entropy function of label smoothing.The network consists of a denoising encoder with deep adaptive threshold learning and a decoder with multi-scale feature fusion.The two modules are skip-connected to work together to improve the robustness of the overall network.Experimental results show that this method has better recognition accuracy at low signal-to-noise ratios than previous methods.The network demonstrates a flexible self-learning capability for different noise thresholds and the effectiveness of the designed feature fusion module in multi-scale feature acquisition for various modulation types.展开更多
We are concerned with a model of ionic polymer-metal composite(IPMC)materials that consists of a coupled system of the Poisson and Nernst-Planck equations,discretized by means of the finite element method(FEM).We show...We are concerned with a model of ionic polymer-metal composite(IPMC)materials that consists of a coupled system of the Poisson and Nernst-Planck equations,discretized by means of the finite element method(FEM).We show that due to the transient character of the problem it is efficient to use adaptive algorithms that are capable of changing the mesh dynamically in time.We also show that due to large qualitative and quantitative differences between the two solution components,it is efficient to approximate them on different meshes using a novel adaptive multimesh hp-FEM.The study is accompanied with numerous computations and comparisons of the adaptive multimesh hp-FEMwith several other adaptive FEM algorithms.展开更多
基金sponsored by the National High Technology Research and Development Program of China (Grant No. 2009AA06Z108)
文摘Complex terrain causes great MT noise.This paper puts forward a FEM model method using adaptive topography and quadratic elements based on studies by previous researchers.This method can model all kinds of complicated terrain and geoelectric bodies preferably.The numeric modeling,calculation of the auxiliary field and definition of resistivity are deduced by electromagnetic equations.Lastly,several examples are presented,which show the method is rapid,effective and has highly accurate.
基金supported by the National Natural Science Foundation of China(Nos.51378293,51078199,50678093,and 50278046)the Program for Changjiang Scholars and the Innovative Research Team in University of China(No.IRT00736)
文摘The element energy projection （EEP） method for computation of super- convergent resulting in a one-dimensional finite element method （FEM） is successfully used to self-adaptive FEM analysis of various linear problems, based on which this paper presents a substantial extension of the whole set of technology to nonlinear problems. The main idea behind the technology transfer from linear analysis to nonlinear analysis is to use Newton＇s method to linearize nonlinear problems into a series of linear problems so that the EEP formulation and the corresponding adaptive strategy can be directly used without the need for specific super-convergence formulation for nonlinear FEM. As a re- sult, a unified and general self-adaptive algorithm for nonlinear FEM analysis is formed. The proposed algorithm is found to be able to produce satisfactory finite element results with accuracy satisfying the user-preset error tolerances by maximum norm anywhere on the mesh. Taking the nonlinear ordinary differential equation （ODE） of second-order as the model problem, this paper describes the related fundamental idea, the imple- mentation strategy, and the computational algorithm. Representative numerical exam- ples are given to show the efficiency, stability, versatility, and reliability of the proposed approach.
基金the National Natural Science Foundation of China(No.50678093)Program for Changjiang Scholars and Innovative Research Team in University(No.IRT00736)
文摘Based on the newly-developed element energy projection （EEP） method with optimal super-convergence order for computation of super-convergent results, an improved self-adaptive strategy for one-dimensional finite element method （FEM） is proposed. In the strategy, a posteriori errors are estimated by comparing FEM solutions to EEP super-convergent solutions with optimal order of super-convergence, meshes are refined by using the error-averaging method. Quasi-FEM solutions are used to replace the true FEM solutions in the adaptive process. This strategy has been found to be simple, clear, efficient and reliable. For most problems, only one adaptive step is needed to produce the required FEM solutions which pointwise satisfy the user specified error tolerances in the max-norm. Taking the elliptical ordinary differential equation of the second order as the model problem, this paper describes the fundamental idea, implementation strategy and computational algorithm and representative numerical examples are given to show the effectiveness and reliability of the proposed approach.
基金Project supported by the National Natural Science Foundation of China (No.50278046)
文摘Based on the newly-developed element energy projection （EEP） method for computation of super-convergent results in one-dimensional finite element method （FEM）, the task of self-adaptive FEM analysis was converted into the task of adaptive piecewise polynomial interpolation. As a result, a satisfactory FEM mesh can be obtained, and further FEM analysis on this mesh would immediately produce an FEM solution which usually satisfies the user specified error tolerance. Even though the error tolerance was not completely satisfied, one or two steps of further local refinements would be sufficient. This strategy was found to be very simple, rapid, cheap and efficient. Taking the elliptical ordinary differential equation of second order as the model problem, the fundamental idea, implementation strategy and detailed algorithm are described. Representative numerical examples are given to show the effectiveness and reliability of the proposed approach.
基金the National Natural Science Foundation of China (No.19872029)
文摘A new adaptive technique of r-and h-version for vibration problemsutilizing the matrix per- turbation theory and element energy ratiois proposed. In structural vibration analysis, through the r-conver-gence adaptvie finite element process, mesh optimization can berealized. In the light of the judgement on the changes in themagnitude of the element energy ratio, local refinement can beachieved in the process of h- convergence adaptive finite element sothat more accurate finite element solutions can be obtained with asfew meshes as possible. Many numerical examples are given and theproposed approach is shown to be feasible and effective.
基金Project(50505027) supported by the National Natural Science Foundation of China
文摘A mixed displacement-pressure updated Lagrange FEM was used to simulate the severe plastic deformation, which can overcome shear locking and volume locking. Together with adaptive remeshing technique based on strain gradient and surface curvature, the strain localization in severe plastic deformation can be captured. Schiffmann damage density was used to predict the developments of damage and fracture in sheet metal. The intensive dislocation and slip appear under the action of severe shear deformation, and metallic grains are flattened and elongated in shear band. Because of the existence of large radius of die edge, the flow direction of grains changes, and the grains are elongated and simultaneous. As a result, it is not easy to cut the grains off, and outer surfaces with clean cut are formed.
文摘对于自由振动问题,基于单元能量投影(element energy projection, EEP)技术,对频率和模态同时进行误差控制的自适应有限元分析已建立,并被证明可靠且高效。在实际应用中,也存在另一类需求,即只需保证频率的精度,而并不关心模态误差大小。该研究提出了频率超收敛计算方案,继而建立了整体频率误差和局部模态误差的转换关系,从而在整体上以频率误差估计控制算法停机,在局部上以模态误差估计驱动网格更新,最终建立了以频率误差控制为目标的自由振动问题自适应有限元分析策略。该方法的有效性在二阶Sturm-Liouville问题及弹性薄膜自由振动问题上得到了应用验证。
文摘目的针对传统有限元法(finite element method,FEM)分析全髋关节置换(total hip arthroplasty,THA)后压电股骨重建时精度低的问题,采用边光滑有限元法(edge-based smoothed finite element method,ES-FEM)对植入假体后压电股骨近端的骨重建进行仿真分析。方法根据自适应骨重建理论,建立假体-压电股骨模型。基于模型的背景网格构建光滑域,引入梯度光滑技术,求解出光滑的重建刺激,进而得到术后压电股骨近端的密度分布。结果植入假体后,受力点由股骨头转移到假体,出现应力屏蔽现象,股骨内部表观密度的分布发生明显变化。相比于FEM,ES-FEM在一定程度上能软化数值模型,提高仿真精度。在相同的网格下,电势和密度的求解精度分别提高27%和30%左右。结论采用ES-FEM能够更精确地模拟出THA术后压电股骨近端的骨重建进程,为THA临床研究提供有效的理论依据。
基金Project supported by the National Key R&D Program of China(No.2020YFF01015000ZL)the Fundamental Research Funds for the Central Universities,China(No.3072022CF0806)。
文摘To improve the accuracy of modulated signal recognition in variable environments and reduce the impact of factors such as lack of prior knowledge on recognition results,researchers have gradually adopted deep learning techniques to replace traditional modulated signal processing techniques.To address the problem of low recognition accuracy of the modulated signal at low signal-to-noise ratios,we have designed a novel modulation recognition network of multi-scale analysis with deep threshold noise elimination to recognize the actually collected modulated signals under a symmetric cross-entropy function of label smoothing.The network consists of a denoising encoder with deep adaptive threshold learning and a decoder with multi-scale feature fusion.The two modules are skip-connected to work together to improve the robustness of the overall network.Experimental results show that this method has better recognition accuracy at low signal-to-noise ratios than previous methods.The network demonstrates a flexible self-learning capability for different noise thresholds and the effectiveness of the designed feature fusion module in multi-scale feature acquisition for various modulation types.
基金supported by the Grant Agency of the Academy of Sciences of the Czech Republic under Grant No.IAA100760702and by the U.S.Department of Energy Research Subcontract No.00089911+1 种基金The third author acknowledges the financial support of the U.S.Office of Naval Research under Award N000140910218The fourth author acknowledges the financial support of the Estonian Ministry of Education,grant#SF0180008s08.
文摘We are concerned with a model of ionic polymer-metal composite(IPMC)materials that consists of a coupled system of the Poisson and Nernst-Planck equations,discretized by means of the finite element method(FEM).We show that due to the transient character of the problem it is efficient to use adaptive algorithms that are capable of changing the mesh dynamically in time.We also show that due to large qualitative and quantitative differences between the two solution components,it is efficient to approximate them on different meshes using a novel adaptive multimesh hp-FEM.The study is accompanied with numerous computations and comparisons of the adaptive multimesh hp-FEMwith several other adaptive FEM algorithms.
