However, there is no way the first term on LHS can be made this way, in this case the solution space H_0 ^ 1 and test function space L ^ 2 are different and hence the usually employed Bubnov Galerkin method cannot be used.
However, there is no way the first term on LHS can be made this way. In this case the solution space H_0 ^ 1 and test function space L ^ 2 are different and hence the usually employed Bubnov Galerkin method cannot be used.