Solving integral equations with generalized Neumann kernel using global simpler GMRES for numerical conformal mapping

2017 ◽  
Author(s):  
Khiy Wei Lee ◽  
Ali H. M. Murid ◽  
Ali W. K. Sangawi
Keyword(s):  
Conformal Mapping ◽  
Integral Equations ◽  
Numerical Conformal Mapping ◽  
Generalized Neumann Kernel ◽  
Neumann Kernel

scholarly journals Numerical Conformal Mapping of Unbounded Multiply Connected Regions onto Circular Slit Regions

2014 ◽  
Vol 8 (1) ◽  
Author(s):  
A.A.M. Yunus ◽  
A.H.M. Murid ◽  
M.M. S. Nasser
Keyword(s):  
Conformal Mapping ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Numerical Conformal Mapping ◽  
Multiply Connected ◽  
Circular Slit ◽  
Multiply Connected Regions ◽  
Multiply Connected Region

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 constructed from a boundary relationship satisfied by an analytic function on an unbounded multiply connected region. The integral equations are uniquely solvable. The kernels involved in these integral equations are the classical and the adjoint generalized Neumann kernels. Several numerical examples are presented.

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