A Cayley-transform representation of the preconditioned Lippmann-Schwinger iteration yields basis-independent convergence bounds for the convergent Born series on general bounded domains and complex wavenumbers, extending to other wave equations without closed-form Green's functions.
Bérenger, A perfectly matched layer for the absor ption of electromagnetic waves, Journal of Computational Physics 114 (2) (1994) 185–200
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Cayley-transform analysis and numerical validation of the convergent Born series for the Helmholtz equation
A Cayley-transform representation of the preconditioned Lippmann-Schwinger iteration yields basis-independent convergence bounds for the convergent Born series on general bounded domains and complex wavenumbers, extending to other wave equations without closed-form Green's functions.