multiply-connected-region problem
Integral equation for the Ahlfors map on multiply connected regions
... of multiply connected region onto a unit disk, provided that the zeros of Ahlfors map are ...annulus region is presented in [21] and [2] but the problem of finding zeros for general ...
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An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries
... Dirichlet problem and the Neumann problem. Given a boundary value problem for an elliptic partial differential equation over region D, the problem can often be reformulated as an ...
107
Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel
... Robin problem in an 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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The Classical Hall Effect in Multiply Connected Plane Regions Part II: Spiral Current Streamlines
... tion problem are placed in such a manner that the current return path via the battery cuts through the conductive region ...conductive region or inside a ...conductive region or inside a hole ...
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An integral equation for conformal mapping of multiply connected regions onto a circular region
... given 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 ...
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Integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits
... of multiply connected regions have been proposed in [2, 3, 4, 5, 6, 7, 8, ...bounded multiply connected region onto a previous five canonical slit domains as a Riemann-Hilbert ...
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Solving a mixed boundary value problem via an integral equation with the generalized neumann kernel on unbounded multiply connected region
... mixed problem, the Riemann-Hilbert problems as well as integral equation for Riemann-Hilbert ...value problem into the Riemann-Hilbert problem and construct the boundary integral equation for solving ...
5
Fast numerical conformal mapping of bounded multiply connected regions via integral equations
... Conformal mapping is important in solving several problems that arises from science, engineering and medical fields. Many real problems involve smooth and non- smooth regions. Conformal mapping play the role in ...
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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 ...
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Boundary integral equation with the generalized Neumann kernel for computing green’s function for multiply connected regions
... Dirichlet problem on bounded and unbounded simply connected regions with smooth ...simply connected region by getting a unique solution of interior Dirichlet problem using integral ...
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Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions
... Dirichlet problem by writing its solution as a double layer ...simply connected regions, the integral equation is uniquely solvable and its kernel is known as the Neumann kernel (see ...bounded ...
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Boundary integral equation method for conformal mapping of multiply connected regions
... value problem for analytic functions involving smooth or non smooth ...of multiply connected region may play important role in the study of dynamics of point vortices where it has wide ...
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Circular slits map of bounded multiply connected regions
... RH problem as developed in ...doubly connected regions onto a disk with circular slit but the kernel of the integral equation involved the unknown circular ...nonlinear problem, Sangawi et ...bounded ...
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A boundary integral equation for the exterior neumann problem on multiply connected region
... Neumann problem is often solved by conformal mapping for arbitrary simply connected ...value problem in the xy plane into a simpler one in the uv plane where they can be solved ...
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Solving dirichlet and neumann problems with discontinuous coefficients on bounded simply and multiply connected regions
... Dirichlet problem with discontinuous coefficients in bounded simply connected ...Dirichlet problem with discontinuous coefficients will be ...Neumann problem with discontinuous coefficients ...
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A Boundary integral equation for the Neumann problem in bounded multiply connected region
... Neumann problem. This method depends on reducing the boundary value problem in question to an integral equation on the boundary of the domain of the problem, and then solves this integral ...original ...
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An inverse eigenvalue problem for an arbitrary multiply connected bounded region in R2
... The basic problem is to determine the geometry of an arbitrary multiply connected bounded region inR together with the mixed boundary conditions, from the complete knowledge of the eigen[r] ...
9
An inverse eigenvalue problem for an arbitrary multiply connected bounded region: an extension to higher dimensions
... The object of this paper is to discuss the following more general inverse problem: Let fl be an arbitrary multiply connected bounded region in R 3 which is surrounded internally by simpl[r] ...
8
Boundary integral equations approach for numerical conformal mapping of multiply connected regions
... I am high respect to Prof. Rudolf Wegmann of Max-Planck-Institute, Garching, Germany for helpful discussions on the exact mapping function of annulus in Section 2.5.1 and for bringing reference von Koppenfels and ...
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Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains
... After giving some notations and definitions in Section 2, we prove some preliminary results in Section 3. They concern the study of the first derivatives of a double layer potential. This leads to the construction of a ...
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