fish_poisson_simple_adapt.cc File Reference

#include "generic.h"
#include "poisson.h"
#include "meshes/fish_mesh.h"

Classes
class	SimpleRefineableFishMesh< ELEMENT >
	Fish shaped mesh with simple adaptivity (no macro elements). More...
class	SimpleRefineableFishPoissonProblem< ELEMENT >

Namespaces
	ConstSourceForPoisson
	Namespace for const source term in Poisson equation.

Functions
void	ConstSourceForPoisson::get_source (const Vector< double > &x, double &source)
	Const source function. More...
int	main ()

Function Documentation

main()

int main

(

)

Demonstrate how to solve 2D Poisson problem in fish-shaped domain with mesh adaptation. First we solve on the original coarse mesh. Next we do a few uniform refinement steps and resolve. Finally, we enter into an automatic adapation loop.

{
 
 //Set up the problem with 4 node Poisson elements
 SimpleRefineableFishPoissonProblem<RefineableQPoissonElement<2,2> > problem;
 
 // Setup labels for output
 //------------------------
 DocInfo doc_info;
 
 // Set output directory
 doc_info.set_directory("RESLT"); 
 
 // Step number
 doc_info.number()=0;
  
 
 // Doc adaptivity targets
 //-----------------------
 problem.mesh_pt()->doc_adaptivity_targets(cout);
 
 
 // Solve/doc the problem
 //----------------------
 
 // Solve the problem
 problem.newton_solve();
 
 //Output solution
 problem.doc_solution(doc_info);
 
 //Increment counter for solutions 
 doc_info.number()++;
 
 
 // Do two rounds of uniform mesh refinement and re-solve
 //-------------------------------------------------------
 problem.refine_uniformly();
 problem.refine_uniformly();
 
 // Solve the problem 
 problem.newton_solve();
 
 //Output solution
 problem.doc_solution(doc_info);
 
 //Increment counter for solutions 
 doc_info.number()++;
 
 
 // Now do (up to) four rounds of fully automatic adapation in response to 
 //-----------------------------------------------------------------------
 // error estimate
 //---------------
 unsigned max_solve=4;
 for (unsigned isolve=0;isolve<max_solve;isolve++)
  {
   // Adapt problem/mesh
   problem.adapt(); 
         
   // Re-solve the problem if the adaptation has changed anything
   if ((problem.mesh_pt()->nrefined()  !=0)||
       (problem.mesh_pt()->nunrefined()!=0))
    {
     problem.newton_solve();
    }
   else
    {
     cout << "Mesh wasn't adapted --> we'll stop here" << std::endl;
     break;
    }
   
   //Output solution
   problem.doc_solution(doc_info);
   
   //Increment counter for solutions 
   doc_info.number()++;
  }
 
 
} // end of main

References oomph::DocInfo::number(), problem, and oomph::DocInfo::set_directory().