A binary-tree element subdivision method for evaluation of singular domain integrals with continuous or discontinuous kernel

Zhang, Jianming; Chi, Baotao; Singh, Krishna M.; Zhong, Yi; Ju, Chuanming

doi:10.1016/j.enganabound.2020.03.023

Cited by 7 publications

(2 citation statements)

References 24 publications

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“…Genetic algorithm does not directly act on the solution space of the problem, but uses some coding representation of the solution space. The choice of encoding representation can sometimes have a positive impact on the performance and functionality of the algorithm [15] (2) Determining Bodily Function. Exercise is a measure of drug quality and depends largely on the relationship between the behavior of the solution and the environment (e.g., population).…”

Section: Geneticmentioning

confidence: 99%

Fractal Art Pattern Information System Based on Genetic Algorithm

Chen

2022

Journal of Sensors

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In order to solve the problem of fractal art pattern innovative design in specific fields, this paper proposes a new method of fractal technology and visualization technology based on genetic algorithm to support art pattern innovative design. In these models, the function of the fractal structure is represented by the binary structure, while the main function represented by the wooden structure is the function of creating new offspring. Provide high-quality services to meet customer needs faster and better. The experimental results show that after 14 generations, the force curve appears to be more stable, the weight scale is studied, and a new model is developed. At the same time, the pattern elements of interest to users are retained for genetic algorithm. Conclusion. This method can help designers quickly design fractal art patterns appreciated by users.

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Section: Geneticmentioning

confidence: 99%

Fractal Art Pattern Information System Based on Genetic Algorithm

Chen

2022

Journal of Sensors

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“…The subdivision scheme can be considered as the generalization of discrete modeling by spline representation, such as the Catmull-Clark subdivision [17], Doo-Sabin subdivision [18], Loop subdivision [19], and other classes of interpolatory subdivision schemes. The adaptive subdivision algorithm [20][21][22][23] is less cumbersome by defining the refinement rules to add new points as linear combinations of old ones. The process continues until the given terminating criteria for all discrete segments or patches are not met.…”

Section: Introductionmentioning

confidence: 99%

A New Definition of the Dual Interpolation Curve for CAD Modeling and Geometry Defeaturing

et al. 2023

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The present paper provides a new definition of the dual interpolation curve in a geometric-intuitive way based on adaptive curve refinement techniques. The dual interpolation curve is an implementation of the interpolatory subdivision scheme for curve modeling, which comprises polynomial segments of different degrees. Dual interpolation curves maintain various desirable properties of conventional curve modeling methods, such as local adaptive subdivision, high interpolation accuracy and convergence, and continuous and discontinuous boundary representation. In addition, the dual interpolation curve is mainly applied to solve the difficult geometry defeaturing problems for curve modeling in existing computer-aided technology. By adding fictitious and intrinsic nodes inside or at the vertices of interpolation elements, the dual interpolation curve is flexible and convenient for characterizing a set of ordered points or discrete segments. Combined with the Lagrange interpolation polynomial and meshless method, the proposed approach is capable of characterizing the non-smooth boundary for geometry defeaturing. Experimental results are given to verify the validity, robustness, and accuracy of the proposed method.

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An adaptive element subdivision method based on the affine transformations and partitioning techniques for evaluating the weakly singular integrals

Chi

Jia

et al. 2024

Journal of Computational and Applied Mathematics

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A binary-tree element subdivision method for evaluation of singular domain integrals with continuous or discontinuous kernel

Cited by 7 publications

References 24 publications

Fractal Art Pattern Information System Based on Genetic Algorithm

Fractal Art Pattern Information System Based on Genetic Algorithm

A New Definition of the Dual Interpolation Curve for CAD Modeling and Geometry Defeaturing

An adaptive element subdivision method based on the affine transformations and partitioning techniques for evaluating the weakly singular integrals

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