SOME ESTIMATES OF A MULTI-SCALE FINITE ELEMENT ALGORITHM FOR ELLIPTIC PROBLEMS WITH RAPIDLY OSCILLATING COEFFICIENTS
Wen‐ming He, Feng Yongping, Xiaofei Guan · International Journal of Modern Physics B · 2011
For second order elliptic equations with rapidly oscillating coefficients, we make some theoretical analysis for a multi-scale finite element algorithm on condition that rapidly oscillating coefficients aij belong to Sobolev spaces W1, p(Q)(1≤p<2). Finally, we employ some numerical experiments to demonstrate those theoretical results.