Before revision:  This theory shows that, if the solution operator is bounded polynomially in the wavenumber k, then the Galerkin method is quasioptimal provided that hk/p \leq C_1 and p\geq C_2 \log k, where C_1 is sufficiently small, and C_2 is sufficiently large  .
After revision:  This theory shows that, if the solution operator is bounded polynomially in the wavenumber k, then the Galerkin method is quasioptimal provided that hk/p \leq C_1 and p\geq C_2 \log k, where C_1 is sufficiently small, and C_2 is sufficiently large , and both are independent of k,h, and p .