Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
نویسندگان
چکیده
which describes stationary reaction-diffusion phenomena but is often also called Helmholtz equation in certain communities. For example in meteorology, the early seminal papers [48, 56] led an entire community to call equations of the form (2) Helmholtz equations, see for example [14]. Even standard texts in applied mathematics now sometimes use the term Helmholtz equation for both (1) and (2), see for example [66]. The subject of this paper is exclusively the indefinite Helmholtz equation (1), which is much harder to solve with classical iterative methods than equation (2).
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