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LINKING THE COMPLEX VARIABLE BOUNDARY-ELEMENT METHOD TO THE ANALYTIC FUNCTION METHOD
Numerical Heat Transfer, 1984This paper is concerned with two methods of attack on boundary value problems such as the Dirichlet and Neumann problems for Laplace's equation. One such method is the analytic function method (AFM); the other is the complex variable boundary-element method (CVBEM).
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Complex variable function method fob hole shape optimization in an elastic plane
Applied Mathematics and Mechanics, 1987In this paper, a complex variable function method for solving the hole shape optimization problem in an elastic plane is presented. In this method, the stresses in hole problems are analysed by taking advantage of the efficiency of the complex variable function method.
Sun Huan-chun +3 more
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Analysis of Stress Concentration for Curvilinear Holes by Complex Variable Function Method
Advanced Materials Research, 2011A solving method with complex variable function which is fit for numerical calculation for stress concentration phenomena on an infinite plate where there are curvilinear holes is described in this paper. According to the method, the computer programs are made to study the stress concentration problems with curvilinear holes (hexagonal form and oblate ...
Hong Li, Guang Lei Li, Da Lu Qiu
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Maximization Methods for Functions of a Complex Variable
Proceedings of the IRE, 1927The maxima and minima of a function of a real variable are found by equating to zero the derivative of the function. In the case of a function of a complex variable however the derivative is a vector quantity, so that conditions may be imposed upon its direction as well as upon its magnitude.
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Applied Mathematics and Computation, 2017
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Dai, Baodong +3 more
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Dai, Baodong +3 more
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Applied Mathematics and Computation, 2015
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Wei, Dandan +3 more
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Wei, Dandan +3 more
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Journal of Mathematical Physics, 2010
The strict theory of the complex variable function method for the sextuple harmonic equation is given in detail, which is a development of the work on the quadruple harmonic equation of the authors. Both of the above mentioned works develop the well-known Muskhelishvili complex variable function method for solving the biharmonic equation used in the ...
Fan, Tian You +3 more
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The strict theory of the complex variable function method for the sextuple harmonic equation is given in detail, which is a development of the work on the quadruple harmonic equation of the authors. Both of the above mentioned works develop the well-known Muskhelishvili complex variable function method for solving the biharmonic equation used in the ...
Fan, Tian You +3 more
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Variability and Complexity of Non-stationary Functions: Methods for Post-exercise HRV.
Nonlinear dynamics, psychology, and life sciences, 2020Heart rate variability (HRV) is a noninvasive marker of cardiac autonomic function that has been extensively studied in a variety of populations. However, HRV analyses require stationarity-thus, limiting the conditions in which these data can be analyzed in physiologic and health research (e.g. post-exercise). To provide evidence and clarity on how non-
Nathaniel T, Berry +2 more
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Complex variable function method for elasticity of quasicrystals
2011In Chapters 7∼9 we frequently used the complex variable function method to solve problems of elasticity of quasicrystals, and many exact analytic solutions were obtained by the method. In those chapters we only provided the results, and the underlying principle and details of the method could not be discussed.
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Archive of Applied Mechanics, 2018
Based on the generalized England’s method, the three-dimensional elastic response in a transversely isotropic functionally graded elliptical plate with clamped edge subject to uniform load is investigated. The material properties can arbitrarily vary along the thickness direction of the plate. The expressions of the mid-plane displacements of the plate
Y. W. Yang +4 more
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Based on the generalized England’s method, the three-dimensional elastic response in a transversely isotropic functionally graded elliptical plate with clamped edge subject to uniform load is investigated. The material properties can arbitrarily vary along the thickness direction of the plate. The expressions of the mid-plane displacements of the plate
Y. W. Yang +4 more
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