Inverse Boundary Problems in Two Dimensions

2003 ◽  
pp. 183-203 ◽  
Author(s):  
Gunther Uhlmann
Keyword(s):  
Two Dimensions ◽  
Boundary Problems ◽  
Inverse Boundary

scholarly journals Inverse Boundary Problems for Systems in Two Dimensions

2013 ◽  
Vol 14 (6) ◽  
pp. 1551-1571 ◽  
Author(s):  
Pierre Albin ◽  
Colin Guillarmou ◽  
Leo Tzou ◽  
Gunther Uhlmann
Keyword(s):  
Two Dimensions ◽  
Boundary Problems ◽  
Inverse Boundary

On free boundary problems in two dimensions

1985 ◽  
Vol 34 (3) ◽  
pp. 325-336
Author(s):  
Hans Lewy ◽  
Tang Zhiyuan
Keyword(s):  
Free Boundary ◽  
Free Boundary Problems ◽  
Two Dimensions ◽  
Boundary Problems

Use of splines in the solution of inverse boundary problems of heat conduction

1978 ◽  
Vol 34 (2) ◽  
pp. 231-235
Author(s):  
A. A. Shmukin ◽  
N. M. Lazuchenkov
Keyword(s):  
Heat Conduction ◽  
Boundary Problems ◽  
Inverse Boundary

scholarly journals A hybrid algorithm for solving inverse boundary problems with respect to intermediate masses on a beam

2021 ◽  
Vol 104 (4) ◽  
pp. 4-13
Author(s):  
A.A. Aniyarov ◽  
◽  
S.A. Jumabayev ◽  
D.B. Nurakhmetov ◽  
R.K. Kussainov ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Numerical Analysis ◽  
Hybrid Algorithm ◽  
Natural Frequencies ◽  
Boundary Problems ◽  
Inverse Boundary ◽  
The Third ◽  
Uniform Beam ◽  
Analytical Relations ◽  
The Masses

The inverse problem of determining the weight of three intermediate masses on a uniform beam from the known three natural frequencies has been solved. The performed numerical analysis allows restoring the value of only the second mass in a unique way. The inverse problem of determining the weight of three intermediate masses is solved uniquely except in the case when the first and the third masses are located geometrically symmetric relative to the middle of the beam. The hybrid algorithm for the unique solving inverse problem of determining the weight of three intermediate masses has been developed. The first three natural frequencies of the beam are calculated numerically by using the Maple computer package. Analytical relations between the masses are found.

scholarly journals Inverse boundary problems for polyharmonic operators with unbounded potentials

2016 ◽  
Vol 6 (1) ◽  
pp. 145-183 ◽  
Author(s):  
Katsiaryna Krupchyk ◽  
Gunther Uhlmann
Keyword(s):  
Boundary Problems ◽  
Inverse Boundary
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