Boundary knot method for the Cauchy problem associated with the inhomogeneous Helmholtz equation

By Bangti Jin, Yao Zheng. 2005

56 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/1d0c6d3195127d638930ef6a587c33ce7b0b134b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Wen Chen
2. Liviu Marin
3. Daniel Lesnic
4. Andreas Karageorghis
5. Zhuojia Fu
6. Ting Wei
7. Hai-Hua Qin
8. Chia-Ming Fan

In Mathematical Physics

1. Andreas Karageorghis
2. Wen Chen
3. Ting Wei
4. Hai-Hua Qin
5. Daniel Lesnic
6. Liviu Marin
7. Zhuojia Fu
8. C. Fu

In Mechanics of Materials

1. Wen Chen
2. Zhuojia Fu
3. Andreas Karageorghis
4. Daniel Lesnic
5. Hai-Hua Qin
6. Liviu Marin
7. Ting Wei
8. Yan Gu

Citations in the corpus

• Two regularization methods for the Cauchy problems of the Helmholtz equation (2010, methodology): “Several numerical methods have been proposed to solve this problem, such as the boundary element method (BEM) [14], the conjugate gradient method [4,16], the Landweber method [15], the singular value decomposition (SVD) method [16], the method of fundamental solutions (MFS) [13,17,18], the boundary ”
• A survey of applications of the MFS to inverse problems (2011, methodology): “Moreover, the same authors applied the BKM in conjunction with the MPS to the inhomogeneous Helmholtz equation Duþ qu1⁄4F in [67].”
• BOUNDARY PARTICLE METHOD FOR INVERSE CAUCHY PROBLEMS OF INHOMOGENEOUS HELMHOLTZ EQUATIONS (2009, methodology): “Table 2 compares the numerical accuracy of the BPM and the reference method [18].”