> However, I can't clearly understand why > the hanging node is not permitted in finite element method. The answer in > most of the papers about adaptive mesh refinement is to keep the conformity > of the mesh. However, are there good examples to show this effect if the > hanging node is not processed. Thanks a lot.
If you don't do anything special about hanging nodes (either by making the mesh conforming again, or by imposing constraints as we usually do in deal.II), the equations that the solution has to satisfy are equivalent to equations that you would assemble if the domain had a crack so that the cells on both sides of the hanging node are not connected there. Consequently, you would compute a solution that corresponds to a problem posed in a domain with a crack on which you have natural boundary conditions. That's not the problem you want to solve. W. -- ------------------------------------------------------------------------- Wolfgang Bangerth email: [email protected] www: http://www.math.tamu.edu/~bangerth/ _______________________________________________ dealii mailing list http://poisson.dealii.org/mailman/listinfo/dealii
