A SOURCE TERM ESTIMATION IN AN INVERSE PROBLEM BY CONJUGATE GRADIENT METHOD

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Alinejadmofrad M.; Dadi Z.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2016 | Issue:47

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Title

A SOURCE TERM ESTIMATION IN AN INVERSE PROBLEM BY CONJUGATE GRADIENT METHOD

Author(s)

Alinejadmofrad M. | Dadi Z. | Issue Writer Certificate

Keywords

NON-LINEAR INVERSE SOURCE PROBLEM

NOISY ADDITIONAL DATA

SENSITIVITY ANALYSIS

CONJUGATE GRADIENT METHOD

Abstract

IN THIS PAPER, A NON-LINEAR SOURCE TERM IS ESTIMATED FOR AN INVERSE PARABOLIC PROBLEM USINGNOISY FINAL OBSERVATIONS AS ADDITIONAL DATA. THE INVERSE PROBLEM IS SOLVED AS AN OPTIMIZATION PROBLEM WHERE OBJECTIVE FUNCTION IS MINIMIZED BY THE ITERATIVE CONJUGATE GRADIENT METHOD (CGM). SENSITIVITY ANALYSIS IS USED TO FIND A SUITABLE BASIS FUNCTIONS GROUP OF POLYNOMIAL BASIS FUNCTION FOR THE SOURCE TERM ESTIMATION. TO EXAMINE THE ACCURACY OF ESTIMATIONS, A TEST EXAMPLE IS CARRIED OUT. THE ALGORITHM CAN RETURN GOOD NUMERICAL ESTIMATIONS FOR THE UNKNOWNS VERY FAST.

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APA: Copy

Alinejadmofrad, M., & Dadi, Z.. (2016). A SOURCE TERM ESTIMATION IN AN INVERSE PROBLEM BY CONJUGATE GRADIENT METHOD. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/939667/en

Vancouver: Copy

Alinejadmofrad M., Dadi Z.. A SOURCE TERM ESTIMATION IN AN INVERSE PROBLEM BY CONJUGATE GRADIENT METHOD. 2016. Available from: https://sid.ir/paper/939667/en

IEEE: Copy

M. Alinejadmofrad, and Z. Dadi, “A SOURCE TERM ESTIMATION IN AN INVERSE PROBLEM BY CONJUGATE GRADIENT METHOD,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/939667/en

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