BOUNDARY PARTICLE METHOD FOR INVERSE CAUCHY PROBLEMS OF INHOMOGENEOUS HELMHOLTZ EQUATIONS

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Potential Problems by Singular Boundary Method Satisfying Moment Condition (2009, methodology): “…Georgiou (1998); Reutskiy (2005); Smyrlis and Karageorghis (2001)], boundary knot method (BKM) by Chen and Tanaka (2002), boundary particle method [Chen and Fu (2009): Fu, Chen 1 Center for Numerical Simulation Software in Engineering and Sciences, Department of Engineering Mechanics, College of…”
Singular boundary method for solving plane strain elastostatic problems (2011, methodology): “These methods include, but are not limited to, the boundary knot method (BKM) (Chen and Hon, 2003; Chen and Tanaka, 2002); the boundary particle method (BPM) (Chen and Fu, 2009; Fu et al., 2009); the boundary collocation method (BCM) (Chen et al.”
Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method (2013, methodology): “The inverse Cauchy problems have been solved by using different numerical methods [21–30], such as, the boundary element method [21,22], the modified collocation Trefftz method [5–7], the method of fundamental solutions (MFS) [23,28,29], the finite element method [26], the boundary particle method [”