Multiply connected regions
An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries
... on multiply connected regions with smooth ...simply connected region to exterior Riemann- Hilbert problem by using Cauchy-Riemann ...a multiply connected region to the exterior ...
107
Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions
... unbounded multiply connected regions G in the extended complex plane C :¼ C [ f1g with either the Dirichlet boundary condition or the Neumann boundary condition on the boundary C :¼ ...
18
An integral equation for conformal mapping of multiply connected regions onto a circular region
... case. More work has been followed by Murid and Hu [11] and Sangawi [14, 25] who extended the work to conformal mapping of multiply connected regions onto the five canonical slit regions. Based ...
10
Integral and differential equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits
... f c , where f is a conformal mapping of bounded multiply connected regions onto a disk with circular slit domain. Section 4 give a numerical implementation for computing f c f . In Section 5, we give ...
7
Fast numerical conformal mapping of bounded multiply connected regions via integral equations
... bounded multiply connected regions with smooth boundaries onto first category of Koebe’s canonical slits regions based on new integral equations developed by Ali Wahab Kareem Sangawi in ...
30
Integral equation for the Ahlfors map on multiply connected regions
... In this paper, we extend the approach of Sangawi [12, 14, 15] to construct an integral equation for the Ahlfors map of multiply connected region onto a unit disk. The plan of this paper is as follows: ...
9
Finding the zeros of ahlfors map using integral equation method on bounded multiply connected regions
... or multiply connected regions has limitations that exact conformal mapping functions are known only for some particular regions and for other general regions have to be computed ...of ...
32
A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
... In this paper we propose a new method for solving the mixed boundary value problem for the Laplace equation in unbounded multiply connected regions. All simple closed curves making up the boundary ...
17
Solving Robin problems in multiply connected regions via an integral equation with the generalized Neumann kernel
... usually connected with the physical condition for certain values of the independent ...unbounded multiply connected regions with a linear combination of Dirichlet and Neumann boundary ...
23
Boundary integral equation with the generalized Neumann kernel for computing green’s function for multiply connected regions
... simply connected regions with smooth and piecewise boundaries have been investigated by Wegmann et ...unbounded multiply connected regions have been investigated by Wegmann and Nasser ...
28
Boundary integral equations approach for numerical conformal mapping of multiply connected regions
... of multiply connected regions as well as the conformal mapping of multiply connected ...doubly connected regions for certain special regions like annulus, frame of ...
28
A boundary integral equation with the generalized neumann kernel for a mixed boundary value problem in unbounded multiply connected regions
... A new uniquely solvable boundary integral equation with the generalized Neumann kernel has been presented in this paper for solving a certain class of mixed boundary value problem on multiply connected ...
18
Circular slits map of bounded multiply connected regions
... slit regions as Riemann-Hilbert problems are discussed in Nasser [12, 13, ...doubly connected regions onto a disk with circular slit but the kernel of the integral equation involved the unknown ...
27
An integral equation method for conformal mapping of doubly and multiply connected regions via the kerzaman-stein and neumann kernels
... doubly connected region by Murid and Razali (1999) was extended to construction of the bounded multiply connected ...of multiply connected regions were ...of multiply ...
160
Numerical conformal mapping of unbounded multiply connected regions onto circular slit regions
... This paper presents a boundary integral equation method for conformal mapping of unbounded multiply connected regions onto circular slit regions. Three linear boundary integral equations are ...
6
Boundary integral equation method for conformal mapping of multiply connected regions
... unbounded multiply connected regions onto first category of Koebe’s canonical slits ...for regions with piecewise smooth boundaries is also ...
30
Solving dirichlet and neumann problems with discontinuous coefficients on bounded simply and multiply connected regions
... Chapter 5.3 includes a brief summary of the main results of thesis and some suggestions for future works. Briefly, based on the contents of Chapters 3 and 4, a method will be presented to compute mixed boundary value ...
24
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 exterior ...
14
Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method
... of multiply connected regions onto rings with radial slits, Paper of Technical Meeting on Electromagnetic Theory, IEE and IEIC of Japan, 1997, EMT- ...
9
The Classical Hall Effect in Multiply Connected Plane Regions Part II: Spiral Current Streamlines
... plane multiply-connected Hall plates ...in multiply-connected Hall plates where all boundaries were contacts [2] ...., multiply-connected Hall plates with insulating boundaries ...
34