I try to scale a distributed vector (LinearAlgebraTrilinos::MPI::Vector) by 
another vector which contents are set based on masks. I tried to use the 
following code:
    const FEValuesExtractors::Vector surface_N(Free_Carrier_Density);
    const FEValuesExtractors::Vector surface_TE(Electron_Temperature);
    const FEValuesExtractors::Vector surface_TL(Lattice_Temperature);

    const ComponentMask surface_N_mask = fe.component_mask(surface_N);
    const ComponentMask surface_TE_mask = fe.component_mask(surface_TE);
    const ComponentMask surface_TL_mask = fe.component_mask(surface_TL);

    std::vector<bool> TE_value_mask(dof_handler.n_locally_owned_dofs()),
            TL_value_mask(dof_handler.n_locally_owned_dofs()),
            N_value_mask(dof_handler.n_locally_owned_dofs());

    DoFTools::extract_dofs(dof_handler, surface_N_mask, N_value_mask);
    DoFTools::extract_dofs(dof_handler, surface_TE_mask, TE_value_mask);
    DoFTools::extract_dofs(dof_handler, surface_TL_mask, TL_value_mask);

    LinearAlgebraTrilinos::MPI::Vector unified_add_vector(dof_handler.
locally_owned_dofs(), mpi_communicator);
    LinearAlgebraTrilinos::MPI::Vector unified_mult_vector(dof_handler.
locally_owned_dofs(), mpi_communicator);

    for(size_t i = 0; i < N_value_mask.size(); ++i)
    {
        if(N_value_mask[i])
        {
            unified_mult_vector(i) = (unified_max_N_value - 
unified_min_N_value) * unified_N_value;
            unified_add_vector(i) = unified_N_value;
        }
    }
    for(size_t i = 0; i < TE_value_mask.size(); ++i)
    {
        if(TE_value_mask[i])
        {
            unified_mult_vector(i) = (unified_max_TE_value - 
unified_min_TE_value) * unified_TE_value;
            unified_add_vector(i) = unified_TE_value;
        }
    }
    for(size_t i = 0; i < TL_value_mask.size(); ++i)
    {
        if(TL_value_mask[i])
        {
            unified_mult_vector(i) = (unified_max_TL_value - 
unified_min_TL_value) * unified_TL_value;
            unified_add_vector(i) = unified_TL_value;
        }
    }
    //scaled_solution.scale(unified_mult_vector);
    unified_add_vector.add(scaled_solution, true);
    scaled_solution = unified_add_vector;
Nevertheless, unlike with .add() there is no such option for 
.mult-functions, allowing me to multiply a distributed vector to another 
distributed vector, elementwise. What can I use instead?
Or is the whole approach wrong?

Thanks!

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