Publications
| Title : | Finite Element Heterogeneous Multiscale Method for the Classical Helmholtz Equation |
| Year : | 2014 |
| Type : | paper in peer-reviewed journal |
| Authors : | P. Ciarlet, C. Stohrer |
| Abstract : | We show that standard Finite Element Heterogeneous Multiscale Method (FE-HMM) can be used to approximate the effective behavior of solutions of 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. |
| Themes : |
Asymptotic models Harmonic waves |
| Reference : |
C. R. Acad. Sci. Paris, Ser. I - vol. 352 (pp 755-760 )   |
