multiply connected region
Solving a mixed boundary value problem via an integral equation with the generalized neumann kernel on unbounded multiply connected region
... In this paper, we solve the mixed boundary value problem on unbounded multiply connected region by using the method of boundary integral equation. Our approach in this paper is to reformulate the ...
5
A Boundary integral equation for the Neumann problem in bounded multiply connected region
... Our approach in this research is to reduce the Neumann problem to the Riemann-Hilbert problem in multiply connected region, and then derive an integral equation with the Neumann kernel related to the ...
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A boundary integral equation for the exterior neumann problem on multiply connected region
... in multiply connected regions with smooth ...simply connected region to exterior Riemann-Hilbert problem by using Cauchy-Riemann ...a multiply connected region to the ...
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Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel
... unbounded multiply connected region we obtain a (mn) by (mn + m) linear system, including the m condition in () giving a (mn + m) by (mn + m) linear ...
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Fast numerical conformal mapping of bounded multiply connected regions via integral equations
... bounded multiply connected regions onto second, third and fourth Koebe’s canonical slits ...bounded multiply connected region with smooth and non-smooth boundaries onto second, third ...
30
Solving dirichlet and neumann problems with discontinuous coefficients on bounded simply and multiply connected regions
... Chapter 4 is motivated by extending the contents of Chapter 3 to solve the Dirichlet problem with discontinuous coefficients in bounded multiply connected region. First, some notations and auxiliary ...
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Integral equation for the Ahlfors map on multiply connected regions
... a multiply connected region onto the unit disk is known as the Ahlfors ...the region is simply connected then the Ahlfors map reduces to the Riemann ...simply connected ...
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Numerical conformal mapping of unbounded multiply connected regions onto circular slit regions
... bounded multiply connected region onto a unit disk with ...of multiply connected regions by expressing the mapping function in terms of the solution of a uniquely solvable ...
6
Boundary integral equation with the generalized Neumann kernel for computing green’s function for multiply connected regions
... The report is organized into six chapters. This research begins by studying the various concepts and properties of the Green’s function on simply and multiply connected region. At the same time, the ...
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Integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits
... Let : be a bounded multiply connected region of connectivity M 1 . The boundary * consists of M 1 smooth Jordan curves * 0 , * 1 , ... , * M such that * 1 , ... , * M lies in the interior of * 0 , ...
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Finding the zeros of ahlfors map using integral equation method on bounded multiply connected regions
... This research wish to obtain new integral equations for Ahlfors map of multiply connected regions on the unit disk. To achieve these, the theorems on the integral equations based on the boundary ...
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Circular slits map of bounded multiply connected regions
... doubly connected regions onto a disk with circular slit but the kernel of the integral equation involved the unknown circular ...bounded multiply connected regions onto a disk with circular ...
27
Boundary integral equation method for conformal mapping of multiply connected regions
... of multiply connected region may play important role in the study of dynamics of point vortices where it has wide applications in environmental flows, bio-fluids, ...of multiply ...
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Boundary integral equations approach for numerical conformal mapping of multiply connected regions
... In Chapter 4, we apply the result of Chapter 3 to derive a new boundary integral equation related to conformal mapping f (z) of multiply connected region onto an annulus with circular slits. We ...
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An integral equation for conformal mapping of multiply connected regions onto a circular region
... problem region with complicated boundaries onto an equivalent one which has simpler and more manageable ...slit region for which a multiply connected region can be mapped onto [2, ...
10
Radial-basis-function calculations of heat and viscous flows in multiply-connected domains
... This PhD research project is concerned with the development of accurate and ef- ficient numerical methods, which are based on one-dimensional integrated radial basis function networks (1D-IRBFNs), point collocation and ...
233
Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains
... each connected component of the boundary. While in a simply connected domain the solution of the traction problem can be always represented by means of a double layer potential (provided that, of course, ...
25
Many-path interference and topologically suppressed tunneling
... the space is neither a line nor a plane. Quantum mechanics on graphs [15] or quantum waveguide theory [16], however, can be defined consistently using appropriate boundary conditions for the wave function at the meet ...
7
Investigations in the dynamics of three different classes of meromorphic functions
... In C hapter 2 for a transcendental entire function / we investigate the connectedness properties of the Julia set J { f ) in the plane and in the Riemann sphere. We give examples where J ( / ) contains buried components, ...
120
Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions
... Since the integral equations (26), (59) and (60) are uniquely solvable, then for sufficiently large number of collocation points on each boundary component, the linear system (78) is also uniquely solvable [3]. The linear ...
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