Institute of Computational Mathematics and Mathematical Geophysics

Abstracts

Mathematical problems in geophysical investigations of solid Earth

A coefficient inverse problem can be solved numerically with help of minimization of a residual functional. Sometimes it suffices to calculate the functional gradient with some errors, for example, using the differential-difference schemes. But some investigations of the inverse problems require the knowledge of the functional gradient with good accuracy, for example, it may be the investigation of the residual functional resolution.

The formulas fo calculation of the gradient of the residual functional for solving numerically the coefficients inverse problem for the system of elasticity for the horizontally stratified medium are obtained. The chosen statement of the coefficient inverse problem is interesting for the multi-waves geophysics. This formulas are obtained for the first time and easy for the program composition, calculations might be easily parallelized.

The work was suppoted by the Russian Foundation for Basic Research (grant N 02-01-00818), Ministry of Education of the Russian Federation (grant N 00-1.0-73).

Mail to Webmaster

|Home Page| |English Part|

Go to Home