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The complex variable boundary element method: Applications
International Journal for Numerical Methods in Engineering, 1985AbstractThe complex variable boundary element method (CVBEM) is used to approximate several potential problems where analytical solutions are known: A modelling result produced from the CVBEM is a measure of relative error in matching the known boundary condition values of the problem.
Hromadka, T. V. II +2 more
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Photoelastic calculations by a complex variable method
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1961Die komplexe Darstellung der allgemeinen Losung fur den ebenen elastischen Spannungszustand fuhrt zu einer einfachen Formel fur den Mittelwert der Normalspannung im Prufstuck, die sich spannungsoptischer Messungen auf zwei Kreisen bedient. Diese Formel vermeidet die Messfehler betonende numerische Differentiation und benotigt die Kenntnis der ...
Lewis, John A., Pollak, Henry O.
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2002
There are certain properties of complex-valued functions of a complex variable, discussed below, that prove to be very useful in the study of two-dimensional potential theory with applications to heat flow, inviscid fluids, and linearized elasticity, among others.
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There are certain properties of complex-valued functions of a complex variable, discussed below, that prove to be very useful in the study of two-dimensional potential theory with applications to heat flow, inviscid fluids, and linearized elasticity, among others.
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Complex Variable Method for Thermal Stress Problem
Journal of Thermal Stresses, 2005ABSTRACT The two-dimensional thermal stress problem is one of the important problems in the field of solid mechanics. In this paper, the complex variable method for solving this kind of problem is stated. The basic equations of complex variable functions in conjunction with a rational mapping function are considered.
Norio Hasebe, Xianfeng Wang
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Numerical Methods and Complex Variables
Numerical Methods and Complex Variables is a comprehensive textbook that offers a unified exploration of two fundamental areas of applied mathematics—numerical methods and complex analysis. Designed for students, educators, and professionals in mathematics, engineering, and the physical sciences, this book presents both theoretical foundations and ...Dr. Anjani Kumar Shukla +3 more
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A COMPLEX VARIABLE MESHLESS MANIFOLD METHOD FOR FRACTURE PROBLEMS
International Journal of Computational Methods, 2010Based on the complex variable moving least-squares (CVMLS) approximation and the finite cover theory, the complex variable meshless manifold method (CVMMM) for fracture problems is presented in this paper. The CVMMM employs two cover systems which are the mathematical cover system and the physical cover system.
Gao, Hongfen, Cheng, Yumin
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Adjoint Variable Method Combined with Complex Variable for Structural Design Sensitivity
Transactions of the Korean Society of Mechanical Engineers A, 2009Abstract The adjoint variable method can reduce computation time and save computer resources because it can selectively provide the sensitivity information for the positions that designers wish to measure. However, the adjoint variable method commonly employs exact analytical differentiation with respect to the design variables. It can be cumbersome to
Hyun-Gi Kim, Maeng-Hyo Cho
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A complex variable meshless method for fracture problems
Science in China Series G, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Yumin, Li, Jiuhong
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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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Three-dimensional complex variable element-free Galerkin method
Applied Mathematical Modelling, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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