Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation
By Liviu Marin, Lionel Elliott, Peter J. Heggs, Derek B. Ingham, Daniel Lesnic, X. Wen. 2004
59 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mathematical Physics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/42f1353991811727f0cd4aea65be82eefe3dc169
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In Computational Theory and Mathematics
In Mathematical Physics
In Mechanics of Materials
Citations in the corpus
- BOUNDARY PARTICLE METHOD FOR INVERSE CAUCHY PROBLEMS OF INHOMOGENEOUS HELMHOLTZ EQUATIONS (2009, methodology): “And the boundary element method (BEM) with iterative or regularization techniques has been applied for the Cauchy problems in the literature [24, 25].”
- 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 ”