Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least ...
Al-Jawary, Majeed
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The use of spline and singular functions in an integral equation method for conformal mapping [PDF]
We consider the integral equation method of Symm for the conformal mapping of simply-connected domains. For the numerical solution, we examine the use of spline functions of various degrees for the approximation of the source density o. In particular, we
Papamicheal, N, Hough, DM
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Analysis of some localized boundary-domain integral equations [PDF]
Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar "Laplace" PDE with variable coefficient are formulated and analysed. The parametrix is
Mikhailov, SE +2 more
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Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with variable coefficient [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 Taylor & Francis.In this paper, a numerical implementation of a direct united boundary-domain integral equation (BDIE ...
Mikhailov, SE, Mohamed, NA
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Further numerical techniques for planar elastostatic analysis by the boundary integral equation method [PDF]
Includes bibliography.Prior experience of the Finite Element Method stimulated interest and led to research into the Boundary Integral Equation Method, specifically for the solution of planar elastostatic problems.
Howell, Graham Conrad
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Spectral solutions for QS with distribution laws in the form of probabilistic mixtures
Background. QS are the main mathematical tool for modeling data transmission systems, which are not without reason called queuing networks. The need to regulate such characteristics of mass service systems as waiting time in a queue or queue length is ...
Veniamin N. Tarasov +1 more
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Approximate solution of second kind integral equations on infinite cylindrical surfaces [PDF]
The paper considers second kind integral equations of the form (abbreviated)φφK+=g, in which S is an infinite cylindrical surface of arbitrary smooth cross-section.
Peplow, AT, Chandler-Wilde, SN
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Explicit Solution of the Time Domain Volume Integral Equation Using a Stable Predictor-Corrector Scheme [PDF]
An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the ...
Bağcı, H +11 more
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