Boundary conditions with the NedelecSZ element

[Daniel Garcia-Sanchez]

Hi,

I'm starting to use the NedelecSZ element to simulate the maxwell equations in the frequency/harmonic domain. I started to simulate the resonant modes of a cube that has metallic boundaries. The boundary condition for a metal is n x E = 0. That means that the tangential components of the electrical field are zero.

If I try to use the following code:

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constraints.clear();                                                                                                                                                                                           

constraints.reinit(locally_relevant_dofs);                                                                                                                                                                     

DoFTools::make_hanging_node_constraints(dof_handler, constraints); 

VectorTools::interpolate_boundary_values(1, ZeroFunction<dim, number>(components), constraints, ComponentMask({false, true, true}));

-------------------------------------------------------- 

I obtain the following error:

--------------------------------------------------------                                                                                                                                                             

An error occurred in line <2967> of file </opt/src/dealii/include/deal.II/numerics/vector_tools.templates.h> in function                                                                                             

    void dealii::VectorTools::internal::do_interpolate_boundary_values(const M_or_MC<dim, spacedim> &, const DoFHandlerType<dim, spacedim> &, const std::map<types::boundary_id, const Function<spacedim, number> *> 

&, std::map<types::global_dof_index, number> &, const dealii::ComponentMask &) [dim = 3, spacedim = 3, number = std::complex<double>, DoFHandlerType = DoFHandler, M_or_MC = Mapping]                                

The violated condition was:                                                                                                                                                                                          

    cell->get_fe().is_primitive(i)                                                                                                                                                                                   

Additional information:                                                                                                                                                                                              

    This function can only deal with requested boundary values that correspond to primitive (scalar) base elements. You may want to look up in the deal.II glossary what the term 'primitive' means.                 

                                                                                                                                                                                                                     

There are alternative boundary value interpolation functions in namespace 'VectorTools' that you can use for non-primitive finite elements.

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How can I set the boundary condition n x E = 0 for the NedelecSZ element in 3D?

Thanks!

Daniel

[Dhananjay Phansalkar]

Hello Daniel,

       I think you are missing first argument for the function "VectorTools::interpolate_boundary_values" I guess it requires dofhandler object . Have a look at step 6  (https://www.dealii.org/current/doxygen/deal.II/step_6.html#Step6setup_system)

Cheers

Dhananjay

[Daniel Garcia-Sanchez]

Hi Dhananjay,

Thanks for your message. I removed the dof_handler by mistake when I did the copy/paste.

I still get the error when I run the following code:

-------------------------------------------------------- 

constraints.clear();                                                                                                                                                                                           

constraints.reinit(locally_relevant_dofs);                                                                                                                                                                     

DoFTools::make_hanging_node_constraints(dof_handler, constraints); 

VectorTools::interpolate_boundary_values(dof_handler, 1, ZeroFunction<dim, number>(components), constraints, ComponentMask({false, true, true}));

-------------------------------------------------------- 

[Jean-Paul Pelteret]

Dear Daniel,

For non-primitive elements I believe its is necessary to use the project_boundary_values_<xyz>() functions. So, maybe project_boundary_values_curl_conforming() or project_boundary_values_curl_conforming_l2() might be one of the functions that you are looking for.

Best,

Jean-Paul

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[Daniel Garcia-Sanchez]

Thanks Jean-Paul,

This is what i was looking for!

Best,

Daniel

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