Unique continuation for the Helmholtz equation using stabilized finite element methods

11 Oct 2017Erik BurmanMihai NechitaLauri Oksanen

We solve a unique continuation problem for the Helmholtz equation using a stabilized finite element method. We first derive conditional stability estimates with constants independent of the wave number $k$, which we then use to obtain error estimates for the finite element method that are robust and explicit with respect to $k$... (read more)

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