A fast multipole boundary element method for half-space acoustic problems in a subsonic uniform flow

Liu, Xueliang; Wu, Haijun; Sun, Ruihua; Jiang, Weikang

doi:10.1016/j.enganabound.2022.01.008

Cited by 7 publications

(3 citation statements)

References 46 publications

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“…On the contrary, if the length of online testing is shorter, it signifies higher cognitive level. Under this circumstance, the function F ( T ) can be adopted to manifest the relationship between user's cognitive level and the length of online testing [ 25 , 26 ].

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Section: Methods Of Constructing User Characteristic Model For Person...mentioning

confidence: 99%

Analysis and Construction of the User Characteristic Model in the Adaptive Learning System for Personalized Learning

Zhao

Long

2022

Computational Intelligence and Neuroscience

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Adaptive Learning System (ALS) is a supportive environment, which dynamically provides learners with services that can satisfy their demand for personalized learning in accordance with the differentiation of their individual traits. At present, study on ALS is still in the exploratory stage, and there are still many fields that deserve to be studied thoroughly. User characteristic model is the foundation and core of ALS and the key to the implementation of intelligent and personalized recommendation service. Based on this, this paper intends to analyze learners’ characteristics in ALS through several dimensions, such as basic information, interest, preference, cognitive level and learning style, through which learners’ user characteristic model is established. In the end, ALS, which supports the function of personalized recommendation, is implemented based on this model. It is suggested by the result of the simulation experiment that ALS, which is developed through this model, demonstrates a satisfying effect in recommendation, and it can dynamically recommend appropriate learning resources in accordance with learners’ personalized demands through which learners’ quality and efficiency of learning can be effectively enhanced to a certain extent.

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Section: Methods Of Constructing User Characteristic Model For Person...mentioning

confidence: 99%

Analysis and Construction of the User Characteristic Model in the Adaptive Learning System for Personalized Learning

Zhao

Long

2022

Computational Intelligence and Neuroscience

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“…In the field of acoustic analysis, there are many numerical solution methods such as the Method of Moments (MoM) [1] , the boundary element method (BEM) [2,3] , the plane wave time-domain (PWTD) [4] , and the singular boundary method(SBM) [5] , the finite element method (FEM) [6,7] and the finite integral technique (FIT) [8] . Among the above methods, the BEM is the most widely applied method for acoustic problems.…”

Section: Introductionmentioning

confidence: 99%

A Time-domain Runge-Kutta Dual Reciprocity Boundary Element Method for Scalar Wave Propagation

Zhou,

Zhao,

et al. 2023

Preprint

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In this paper, the dual reciprocity boundary element method combined with the Runge- Kutta method is applied to solve the acoustic radiation problem. In the dual reciprocity scheme, the radial basis function is introduced to transform the equivalent integral equation into an equivalent integral equation of a pure boundary form. After the boundary elements discretization, the second-ordered ordinary differential equations (ODEs) are obtained. Furthermore, these ODEs are transformed into first-order ODEs (Euler equations) by introducing a median variable. The Runge-Kutta method of the fourth order is applied to solve these Euler equations. Two numerical examples of acoustic problems on different structures are presented to illustrate the validity and the accuracy of the proposed method.

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“…Different from the basic idea of the finite element method (FEM), BEM only divides the elements on the boundary of the domain and approximate the boundary conditions with the functions satisfying the governing equation [4][5][6][7]. Therefore, compared with the FEM [8,9], BEM has the advantages of dimensionality reduction, fewer elements and simpler data preparation, which is suitable for solving stress concentration, infinite domain and semi-infinite domain problems [10,11]. However, as the singularities of the kernel function in the boundary integral equation (BIE), the computational accuracy of weak singular integral directly affects the final results, so additional processing schemes must be given to remove these singularities to ensure the successful solution of BEM.…”

Section: Introductionmentioning

confidence: 99%

A Subdivision Transformation Method for Weakly Singular Boundary Integrals in Thin-structural Problem

Hou

Zeng

Zhong

et al. 2023

mech

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Accurate and effective calculation of weakly singular integral in the boundary integral equation of the thin-structural problem is the key to the numerical implementation of the boundary element method. In this paper, a subdivision transformation method evaluated for weakly singular integrals is proposed, and the method is implemented as follows: based on the position of the source points, the shape information of the elements and the nearest distance from the source point to the integral element, a subdivision technology is constructed at first. With this subdivision technology, the integral element can be divided into several integral blocks with good shapes. And then, a simpler coordinate transformation method is constructed to remove the weak singularities of the integral blocks obtained by the subdivision technology. Compared with the conventional polar coordinate transformation method, the present transformation method does not need to calculate their integral interval, which is more simple and effective to implement. Finally, the paper gives three numerical examples to verify the accuracy and validity of the present method.

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A fast multipole boundary element method for half-space acoustic problems in a subsonic uniform flow

Cited by 7 publications

References 46 publications

Analysis and Construction of the User Characteristic Model in the Adaptive Learning System for Personalized Learning

Analysis and Construction of the User Characteristic Model in the Adaptive Learning System for Personalized Learning

A Time-domain Runge-Kutta Dual Reciprocity Boundary Element Method for Scalar Wave Propagation

A Subdivision Transformation Method for Weakly Singular Boundary Integrals in Thin-structural Problem

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