a general new algorithm for regulaization of singular integrals in three-dimensional boundary elemnts
Authors
abstract
in this paper an algorithm is presented for the regularization of singular integrals with any degrees of singularity, which may be employed in all three-dimensional problems analyzed by boundary elements. the integrals in boundary integrals equations are inherently singular. for example, one can mention the integrals confronted in potential problems to evaluate the flow or the gradient of the flow or the integrals employed to determine the stress or the deformation in elastic problems. having only the numerator functions and their derivatives derived either explicitly or implicitly, this algorithm may be employed to evaluate the strongly, hyper or supersingular integrals with a satisfactory of accuracy. to regularize the integrals, some functions are either added or subtracted successively so as to differentiate the singular and nonsingular terms. three examples with their numerical solutions are included which show the efficiency and the accuracy of the proposed algorithm.
similar resources
A General New Algorithm for Regulaization of Singular Integrals in Three-Dimensional Boundary Elemnts
In this paper an algorithm is presented for the regularization of singular integrals with any degrees of singularity, which may be employed in all three-dimensional problems analyzed by Boundary Elements. The integrals in Boundary Integrals Equations are inherently singular. For example, one can mention the integrals confronted in potential problems to evaluate the flow or the gradient of the f...
full textA General New Algorithm for Regulaization of Singular Integrals in Three-Dimensional Boundary Elemnts
In this paper an algorithm is presented for the regularization of singular integrals with any degrees of singularity, which may be employed in all three-dimensional problems analyzed by Boundary Elements. The integrals in Boundary Integrals Equations are inherently singular. For example, one can mention the integrals confronted in potential problems to evaluate the flow or the gradient of the f...
full textA General Boundary-Integral Formulation for Zoned Three-Dimensional Media
A new boundary-integral formulation is proposed to analyze the heat transfer in zoned three-dimensional geometries. The proposed formulation couples the boundary formula, the gradient of the boundary formula, and the exterior formula. An advantage of this formulation over the traditional methods is that any linear condition at the interface between subdomains may be incorporated into the formul...
full textA topology control algorithm for autonomous underwater robots in three-dimensional space using PSO
Recently, data collection from seabed by means of underwater wireless sensor networks (UWSN) has attracted considerable attention. Autonomous underwater vehicles (AUVs) are increasingly used as UWSNs in underwater missions. Events and environmental parameters in underwater regions have a stochastic nature. The target area must be covered by sensors to observe and report events. A ‘topology cont...
full textMy Resources
Save resource for easier access later
Journal title:
روش های عددی در مهندسی (استقلال)جلد ۱۷، شماره ۱، صفحات ۱۲۱-۱۳۲
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023