scholarly journals ON AN INVERSE PROBLEMS FOR LAPLACE EQUATIONS WITH POTENTIAL TERMS ON ELECTRICAL NETWORKS

2012 ◽  
Vol 27 (2) ◽  
pp. 243-255 ◽  
Author(s):  
Ji-Chan Chung ◽  
Du-Hyeong Kim ◽  
Tae-Hoon Kwon
Keyword(s):  
Inverse Problems ◽  
Electrical Networks ◽  
Laplace Equations

Solving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation Method

2017 ◽  
Vol 09 (05) ◽  
pp. 1750065 ◽  
Author(s):  
Judy P. Yang ◽  
Pai-Chen Guan ◽  
Chia-Ming Fan
Keyword(s):  
Inverse Problems ◽  
Collocation Method ◽  
Reproducing Kernel ◽  
Cauchy Problems ◽  
Overdetermined System ◽  
Numerical Examples ◽  
Kernel Approximation ◽  
Laplace Equations ◽  
Laplace Type ◽  
Least Squares Minimization

This work introduces the weighted collocation method with reproducing kernel approximation to solve the inverse Laplace equations. As the inverse problems in consideration are equipped with over-specified boundary conditions, the resulting equations yield an overdetermined system. Following our previous work, the weighted collocation method using a least-squares minimization has shown to solve the inverse Cauchy problems efficiently without using techniques such as iteration and regularization. In this work, we further consider solving the inverse problems of Laplace type and introduce the Shepard functions to deal with singularity. Numerical examples are provided to demonstrate the validity of the method.

scholarly journals Inverse Problems for Electrical Networks

10.1142/4306 ◽  
2000 ◽  
Author(s):  
Edward B Curtis ◽  
James A Morrow
Keyword(s):  
Inverse Problems ◽  
Electrical Networks

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

2017 ◽  
Vol 5 (2) ◽  
pp. 14-35
Author(s):  
S.I. Kabanikhin ◽  
◽  
O.I. Krivorotko ◽  
D.V. Ermolenko ◽  
V.N. Kashtanova ◽  
...  
Keyword(s):  
Inverse Problems

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

2017 ◽  
Vol 5 (2) ◽  
pp. 14-35 ◽  
Author(s):  
S.I. Kabanikhin ◽  
O.I. Krivorotko ◽  
D.V. Ermolenko ◽  
V.N. Kashtanova ◽  
V.A. Latyshenko
Keyword(s):  
Inverse Problems
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