Communications in Mathematical Sciences
Volume 9 (2011)
Residual-free bubble methods for numerical homogenization of elliptic problems
Pages: 1163 – 1176
The residual-free bubble (RFB) method was first proposed for convection-diffusion problems. Then it was used to treat elliptic homogenization problems. We revisit it in this paper and try to reveal its relations to some other multiscale methods. Some new bubble schemes are also proposed.
residual-free bubble, numerical homogenization, multiscale finite element method, heterogeneous multiscale method, adaptive sampling
2010 Mathematics Subject Classification