A Multiscale Asymptotic Expansion and its Convergence Analysis for the Wave Propagation Problem in Small Periodic Composite Materials
Shicang Song · Gongcheng shuxue xuebao · 2009
We use the asymptotic expansion and homogenization theories to deal with the wave propagation problem in small periodic composite materials,and obtain the asymptotic expansion of the hyperbolic wave equation with oscillating coeffcients.For the smooth convex domain Ω in R2,we prove that the asymptotic solution is of better convergence in L∞(0,T;H01(Ω)),and its convergence order is O(e).