Finite-element heterogeneous multiscale method for the Helmholtz equation
Patrick Ciarlet, Christian Stohrer · Comptes Rendus Mathématique · 2014
We show that the standard Finite Element Heterogeneous Multiscale Method (FE-HMM) can be used to approximate the effective behavior of solutions to the classical Helmholtz equation in highly oscillatory media. Using a novel combination of well-known results about FE-HMM and the notion of T -coercivity, we derive an a priori error bound. Numerical experiments corroborate the analytical findings.