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Numerical Algorithms
Published in: Numerical Algorithms 4/2021

11-06-2020 | Original Paper

A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations

Authors: Tran Nhat Luan, Tran Thi Khieu, Tra Quoc Khanh

Published in: Numerical Algorithms | Issue 4/2021

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Abstract

In the present paper, we devote our effort to Cauchy boundary value problems for biharmonic equations. In general, the investigated problem is ill-posed. Therefore, we develop a filter method to defeat the ill-posedness of the problem. Explicit convergence rate is established under both a priori and a posteriori parameter choice rules. Finally, a numerical example is presented to illustrate the ill-posedness of the problem as well as the effectiveness of the proposed method.
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Metadata
Title
A filter method with a priori and a posteriori parameter choice for the regularization of Cauchy problems for biharmonic equations
Authors
Tran Nhat Luan
Tran Thi Khieu
Tra Quoc Khanh
Publication date
11-06-2020
Publisher
Springer US
Published in
Numerical Algorithms / Issue 4/2021
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-00951-4

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