The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations

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A survey of applications of the MFS to inverse problems (2011, methodology): “Helmholtz/modified Helmholtz’s equation Marin and Lesnic applied the MFS for the solution of the Cauchy problem associated with the two-dimensional Helmholtz and modified Helmholtz equations in [56].”
BOUNDARY PARTICLE METHOD FOR INVERSE CAUCHY PROBLEMS OF INHOMOGENEOUS HELMHOLTZ EQUATIONS (2009, methodology): “To overcome mesh generation problem, facing the traditional mesh-based BEM, a variety of boundary-type meshless methods, in recent years, have been developed and attract a lot of attention, for example, method of fundamental solution (MFS) [4, 11, 22], boundary knot method (BKM) [10], plane wave met”
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 meshless method for some inverse problems associated with the Helmholtz equation (2006, unknown): “It should be mentioned that similar ideas have been developed by Marin and Lesnic [9,10].”