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Projection method for Fractional Lavrentiev Regularisation method in Hilbert scales
- Mekoth, Chitra;
- George, Santhosh;
- Jidesh, P.;
- Cho, Yeol Je
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0초록
We study finite dimensional Fractional Lavrentiev Regularization (FLR) method for linear ill-posed operator equations in the Hilbert scales. We obtain an optimal order error estimate under Holder type source condition and under a parameter choice strategy. Numerical experiments confirming the theoretical results are also given.
키워드
Lavrentiev Regularization; Ill-posed problem; Hilbert scales; Discrepancy principle; Finite dimension; ILL-POSED PROBLEMS; POSTERIORI PARAMETER CHOICE; TIKHONOV REGULARIZATION; OPERATOR-EQUATIONS; NUMERICAL-SOLUTION; ERROR-BOUNDS
- 제목
- Projection method for Fractional Lavrentiev Regularisation method in Hilbert scales
- 저자
- Mekoth, Chitra; George, Santhosh; Jidesh, P.; Cho, Yeol Je
- 발행일
- 2023-06
- 유형
- Article
- 저널명
- JOURNAL OF ANALYSIS
- 권
- 31
- 호
- 2
- 페이지
- 1303 ~ 1333