An Efficient Algorithm for Solving the Gravity Problem of Finding a Density in a Horizontal Layer / Akimova Elena N.,Martyshko Peter S.,Misilov Vladimir E.,Kosivets Rostislav A. // . - 2016. - V. 1738, l. .

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

An efficient algorithm for solving the inverse gravity problem of finding a variable density in a horizontal layer using gravitational data is constructed. After the discretization and approximation, the problem reduces to solving a system of linear algebraic equations. The idea of this algorithm is based on exploiting the block-Toeplitz structure of coefficients matrix. Utilizing this algorithm drastically reduces the memory usage, as well as the computation time. The algorithm was parallelized and implemented using the Uran supercomputer. A model problem with synthetic gravitational data was solved.

Author keywords:

Inverse gravity problem; gradient method; parallel algorithm; multicore processor

DOI:

10.1063/1.4951875

Web of Science ID:

ISI:000380803300122

Соавторы в МНС:

Другие поля

Поле	Значение
Editor	Simos, T and Tsitouras, C
Booktitle	PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015)
Series	AIP Conference Proceedings
Note	International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, GREECE, SEP 23-29, 2015
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
Article-Number	110006
ISBN	978-0-7354-1392-4
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Applied
ResearcherID-Numbers	Martyshko, Peter/R-5902-2016
ORCID-Numbers	Akimova, Elena/0000-0002-4462-5817
Number-of-Cited-References	4
Usage-Count-Since-2013	7
Doc-Delivery-Number	BF4FA