A COMPARISON OF DIRECT AND INDIRECT REGULARIZATION METHODS FOR DOWNWARD CONTINUATION PROBLEM OF GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

SAFARI A.A.R.; ALAH TAVAKOLI Y.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of the Earth and Space Physics Year:2008 | Volume:34 | Issue:1 Page(s): 89-108

Download Full-Text

Persian Verion

View:

737

Download:

130

Cites:

Information Journal Paper

Title

A COMPARISON OF DIRECT AND INDIRECT REGULARIZATION METHODS FOR DOWNWARD CONTINUATION PROBLEM OF GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA

Author(s)

SAFARI A.A.R. | ALAH TAVAKOLI Y. | Issue Writer Certificate

Keywords

GEOID COMPUTATIONQ3

DOWNWARD CONTINUATION PROBLEMQ3

ABEL-POISSON INTEGRALQ3

REGULARIZATION METHODSQ3

Abstract

The problem of downward continuation of the gravity field from the Earth’s surface to the reference ellipsoid arises from the fact that the solution to the boundary value problem for geoid determination without applying Stokes formula is sought in terms of the disturbing potential L dW (X) on the ellipsoid but the disturbing gravity observations dG(X) are only available on the Earth’s surface. Downward continuation is achieved via ABEL-POISSON INTEGRAL and its derivatives. Using discrete observations, the ABEL-POISSON INTEGRAL has to be transformed into a summation form:b=Ax bÎRm xÎRnWhere the matrix A is the design matrix and b stands for the disturbing gravity observations vector. The DOWNWARD CONTINUATION PROBLEM is an inverse problem. Inverse problems are ill-posed, like any ill-posed problem it must be regularized. The objective of this paper is the comparison between direct and iterative methods for solving downward continuation of the gravity field from the Earth’s surface to the reference ellipsoid for geoid determination without applying Stokes formula.Direct REGULARIZATION METHODS are methods where the solution is directly derived. In this contribution truncated method, standard Tikhonov method and generalized Tikhonov method using discretized norms at Sobolov subspaces W12 (a,b), W22(a,b) and Sobolov semi norms ‖L1‖2 and ‖L1‖2 are implemented.

Cites

No record.

References

Cite

APA: Copy

SAFARI, A.A.R., & ALAH TAVAKOLI, Y.. (2008). A COMPARISON OF DIRECT AND INDIRECT REGULARIZATION METHODS FOR DOWNWARD CONTINUATION PROBLEM OF GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA. JOURNAL OF THE EARTH AND SPACE PHYSICS, 34(1), 89-108. SID. https://sid.ir/paper/80358/en

Vancouver: Copy

SAFARI A.A.R., ALAH TAVAKOLI Y.. A COMPARISON OF DIRECT AND INDIRECT REGULARIZATION METHODS FOR DOWNWARD CONTINUATION PROBLEM OF GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA. JOURNAL OF THE EARTH AND SPACE PHYSICS[Internet]. 2008;34(1):89-108. Available from: https://sid.ir/paper/80358/en

IEEE: Copy

A.A.R. SAFARI, and Y. ALAH TAVAKOLI, “A COMPARISON OF DIRECT AND INDIRECT REGULARIZATION METHODS FOR DOWNWARD CONTINUATION PROBLEM OF GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA,” JOURNAL OF THE EARTH AND SPACE PHYSICS, vol. 34, no. 1, pp. 89–108, 2008, [Online]. Available: https://sid.ir/paper/80358/en

Related Journal Papers