In this article was proved, that any linear equation $Lu=f$ in the case of any linear versions of the Galerkin method, has at least as many unsolved right-hand sides in the form of linear combinations $f=L\psi_1 +...+L\psi_N +L\psi_{ N+1} +...+L\psi_{ 5N} +...+L\psi_{ T}$, as there are finite-dimensional linear subspaces with dimensionality as much than five times as the number of basis functions $\psi_1,..., \psi_N$ .
Categories: math.NA