Investigation of regularized techniques for boundary knot method

This study investigates regularization techniques for the boundary knot method (BKM). We consider three regularization methods and two approaches for the determination of the regularization parameter. Our numerical experiments show that Tikhonov regularization in conjunction with generalized cross‐v...

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Veröffentlicht in:	International journal for numerical methods in biomedical engineering 2010-12, Vol.26 (12), p.1868-1877
Hauptverfasser:	Wang, Fuzhang, Chen, Wen, Jiang, Xinrong
Format:	Artikel
Sprache:	eng
Schlagworte:	Acoustics Boundaries boundary knot method Exact sciences and technology Fundamental areas of phenomenology (including applications) Helmholtz problem Knots Linear acoustics Mathematical models Numerical analysis Physics Regularization regularization method singular value decomposition
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Zusammenfassung:	This study investigates regularization techniques for the boundary knot method (BKM). We consider three regularization methods and two approaches for the determination of the regularization parameter. Our numerical experiments show that Tikhonov regularization in conjunction with generalized cross‐validation approach outperforms the other regularization techniques in the BKM solution of Helmholtz and modified Helmholtz problems. Copyright © 2009 John Wiley & Sons, Ltd.
ISSN:	2040-7939 2040-7947 2040-7947
DOI:	10.1002/cnm.1275