Unique continuation for the Helmholtz equation using stabilized finite element methods
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 $k$. Some numerical illustrations are given.
PDF AbstractCategories
Numerical Analysis
Analysis of PDEs
35J15, 65N20, 65N12
