Dear All,

I have a fourth order parabolic equation, which is split into two second 
order equations. Hence I solve using components by 
declaring FESystem<dim>  fe(FE_Q<dim>(degree,2). I have in total three such 
sub-problems, which are coupled to each other in a semi-implicit manner. 
Therefore I have a std::vector of solution for the entire system.

std::vector<Vector<double>> solution.

In addition, I am employing mesh adaptivity. After estimating the error 
using Kelly, I would like to perform a solution transfer from old to new 
mesh. Do I need to create a std::vector of SolutionTransfer objects; one 
for each solution?

The below code copied from step-26 seems to work. Is this the correct 
approach?

std::vector<SolutionTransfer<dim>> solution_trans(3,dof_handler);

std::vector<Vector<double>> previous_solution(num_index);

for(unsigned int i=0; i < num_index; i++){previous_solution[i] = 
solution[i];}

triangulation.prepare_coarsening_and_refinement();

for(unsigned int i=0; i < num_index; 
i++){solution_trans[i].prepare_for_coarsening_and_refinement(previous_solution[i]);}

triangulation.execute_coarsening_and_refinement();

setup_system();

for(unsigned int i=0; i < num_index; i++){

solution_trans[i].interpolate(previous_solution[i], solution[i]);

constraints.distribute(solution[i]);}

I look forward to your response. 

Best regards,

Karthi.

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