scholarly journals A constrained conjugate gradient method for solving the magnetic field boundary integral equation

2003 ◽  
Vol 51 (6) ◽  
pp. 1168-1176 ◽  
Author(s):  
P.M. van den Berg ◽  
E. Korkmaz ◽  
A. Abubakar
Keyword(s):  
Magnetic Field ◽  
Integral Equation ◽  
Boundary Integral Equation ◽  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Boundary Integral ◽  
Field Boundary ◽  
The Magnetic Field

Conjugate Gradient Method for Estimation of Robin Coefficients

2014 ◽  
Vol 4 (2) ◽  
pp. 189-204 ◽  
Author(s):  
Yan-Bo Ma ◽  
Fu-Rong Lin
Keyword(s):  
Inverse Problem ◽  
Integral Equation ◽  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Nonlinear Least Squares ◽  
Boundary Integral ◽  
Numerical Examples ◽  
Nonlinear Least Squares Problem ◽  
Ill Posed

AbstractWe consider a Robin inverse problem associated with the Laplace equation, which is a severely ill-posed and nonlinear. We formulate the problem as a boundary integral equation, and introduce a functional of the Robin coefficient as a regularisation term. A conjugate gradient method is proposed for solving the consequent regularised nonlinear least squares problem. Numerical examples are presented to illustrate the effectiveness of the proposed method.

Magnetic Field Evaluation at Vertex by Boundary Integral Equation Derived From Scalar Potential of Double Layer Charge

2012 ◽  
Vol 48 (2) ◽  
pp. 459-462 ◽  
Author(s):  
K. Ishibashi ◽  
Z. Andjelic ◽  
Y. Takahashi ◽  
T. Takamatsu ◽  
T. Fukuzumi ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Integral Equation ◽  
Boundary Integral Equation ◽  
Double Layer ◽  
Scalar Potential ◽  
Field Evaluation ◽  
Boundary Integral ◽  
Layer Charge
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