Dear Daniel,

Thank you a lot for the solution ways! I was trying to modify the 
/dealii-9.3.1/source/numerics/matrix_tools.inst.in as follows:

// ---------------------------------------------------------------------
//
// Copyright (C) 2010 - 2018 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE.md at
// the top level directory of deal.II.
//
// ---------------------------------------------------------------------

for (number : REAL_SCALARS)
  {
    template void MatrixTools::local_apply_boundary_values(
      const std::map<types::global_dof_index, number> &boundary_values,
      const std::vector<types::global_dof_index> &     local_dof_indices,
      FullMatrix<number> &                             local_matrix,
      Vector<number> &                                 local_rhs,
      const bool                                       eliminate_columns);

    template void MatrixTools::apply_boundary_values(
      const std::map<types::global_dof_index, number> &boundary_values,
      SparseMatrix<number> &                           matrix,
      Vector<number> &                                 solution,
      Vector<number> &                                 right_hand_side,
      const bool                                       eliminate_columns);

    template void MatrixTools::apply_boundary_values(
      const std::map<types::global_dof_index, number> &boundary_values,
      BlockSparseMatrix<number> &                      matrix,
      BlockVector<number> &                            solution,
      BlockVector<number> &                            right_hand_side,
      const bool                                       eliminate_columns);
  }

for (number : COMPLEX_SCALARS)
  {
    template void MatrixTools::apply_boundary_values(
      const std::map<types::global_dof_index, number> &boundary_values,
      SparseMatrix<number> &                           matrix,
      Vector<number> &                                 solution,
      Vector<number> &                                 right_hand_side,
      const bool                                       eliminate_columns);
      
    *template void MatrixTools::apply_boundary_values(*
*      const std::map<types::global_dof_index, number> &boundary_values,*
*      BlockSparseMatrix<number> &                      matrix,*
*      BlockVector<number> &                            solution,*
*      BlockVector<number> &                            right_hand_side,*
*      const bool                                       eliminate_columns);*
  }

Then I recompiled everything and got the error:  

/home/mariia/Downloads/dealii-9.3.1/source/numerics/matrix_tools.cc:364:49: 
*error*: no match for ‘operator!=’ (operand types are ‘std::complex<float>’ 
and ‘double’)
  364 |               .diag_element(block_index.second) != 0.0)
In file included from 
/home/mariia/Downloads/dealii-9.3.1/include/deal.II/base/parallel.h:23,
                 from 
/home/mariia/Downloads/dealii-9.3.1/include/deal.II/base/aligned_vector.h:25,
                 from 
/home/mariia/Downloads/dealii-9.3.1/include/deal.II/base/table.h:21,
                 from 
/home/mariia/Downloads/dealii-9.3.1/include/deal.II/lac/block_sparsity_pattern.h:25,
                 from 
/home/mariia/Downloads/dealii-9.3.1/include/deal.II/lac/sparsity_tools.h:24,
                 from 
/home/mariia/Downloads/dealii-9.3.1/include/deal.II/base/graph_coloring.h:25,
                 from 
/home/mariia/Downloads/dealii-9.3.1/include/deal.II/base/work_stream.h:22,
                 from 
/home/mariia/Downloads/dealii-9.3.1/source/numerics/matrix_tools.cc:19:
..................
make[2]: *** 
[source/numerics/CMakeFiles/obj_numerics_release.dir/build.make:188: 
source/numerics/CMakeFiles/obj_numerics_release.dir/matrix_tools.cc.o] 
Error 1
make[1]: *** [CMakeFiles/Makefile2:3269: 
source/numerics/CMakeFiles/obj_numerics_release.dir/all] Error 2
make: *** [Makefile:136: all] Error 2


I am a bit confused, what else needs to be adjusted may be in the 
matrix_tools.cc. I would greatly appreciate help here.

Thank you for your time!

With kind regards,
Mariia


среда, 15 сентября 2021 г. в 16:56:41 UTC+2, [email protected]: 

> Mariia,
>
> That's a problem a little more complicated to solve. Basically, we are not 
> instantiating the template for complex<double> and BlockSparseMatrix. 
> If you are OK with recompiling deal.II, you should modify source/numerics/
> matrix_tools.inst.in so that all overloads are also compiled for complex 
> numbers.
> Otherwise, copy 
> https://github.com/dealii/dealii/blob/7439f2b0b4d210d237e8df53f12f47c242cfac3f/source/numerics/matrix_tools.cc#L240-L499
>  
> somewhere in your source code.
>
> Best,
> Daniel
>
> Am Mi., 15. Sept. 2021 um 09:10 Uhr schrieb Мария Бронзова <
> [email protected]>:
>
>> Dear Daniel, 
>>
>> Thank you a lot for the hint, it makes perfect sense! I also correctted 
>> the* interpolate_boundary_values* call as follows: 
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>> *template <int dim>   class DirichletBoundaryValues : public 
>> Function<dim, std::complex<double>>   {   public: 
>>  DirichletBoundaryValues()    : Function<dim, std::complex<double>>(1)     
>>   {}  virtual std::complex<double> value(const Point<dim> &p,         const 
>> unsigned int component = 1) const override;   };   template <int dim>   
>> std::complex<double> DirichletBoundaryValues<dim>::value(const Point<dim> & 
>> p,               const unsigned int /*component*/) const   {  const 
>> std::complex<double> i = {0,1};  return i;   }*
>>
>>  
>>
>>
>>
>>
>>
>>
>>
>>
>>
>>
>> * FEValuesExtractors::Scalar pressures(dim);     
>> std::map<types::global_dof_index, std::complex<double>> boundary_values;   
>>   VectorTools::interpolate_boundary_values(dof_handler,     1, 
>> DirichletBoundaryValues<dim>(), boundary_values, 
>> fe.component_mask(pressures));     
>> MatrixTools::apply_boundary_values(boundary_values,   system_matrix,   
>> solution,   system_rhs);*
>>
>> And now getting the following error:
>> undefined reference to 'void 
>> dealii::MatrixTools::apply_boundary_values<std::complex<double> 
>> >(std::map<unsigned int, std::complex<double>, std::less<unsigned int>, 
>> std::allocator<std::pair<unsigned int const, std::complex<double> > > > 
>> const&, dealii::BlockSparseMatrix<std::complex<double> >&, 
>> dealii::BlockVector<std::complex<double> >&, 
>> dealii::BlockVector<std::complex<double> >&, bool)'
>>
>> I am a bit lost, what it could be connected to. Would appreciate any 
>> hints!
>>
>> Thank you a lot for your time!
>>
>> Kind regards,
>> Mariia Bronzova
>>
>> вторник, 14 сентября 2021 г. в 16:33:44 UTC+2, [email protected]: 
>>
>>> Mariia,
>>>
>>> You need to make sure that the std::map also uses values of type 
>>> std::complex<double>. The compile error you shared shows that you use 
>>> doubles.
>>>
>>> Best,
>>> Daniel
>>>
>>> Am Di., 14. Sept. 2021 um 07:30 Uhr schrieb Мария Бронзова <
>>> [email protected]>:
>>>
>>>> Hi everyone,
>>>>
>>>> I ran into the following difficulty: I have a vector-valued problem 
>>>> with complex numbers as entries for my BlockSparseMatrix system_matrix and 
>>>> BlockVector system_rhs and solution vectors and I am trying to apply 
>>>> Dirichlet boundary conditions, using the 
>>>> MatrixTools::apply_boundary_values(boundary_values, system_matrix, 
>>>> solution, system_rhs) function. 
>>>>
>>>> The compiler is complaining, indicating the error: no matching function 
>>>> for call to ‘apply_boundary_values(std::map<unsigned int, double>&, 
>>>> dealii::BlockSparseMatrix<std::complex<double> >&, 
>>>> dealii::BlockVector<std::complex<double> >&, 
>>>> dealii::BlockVector<std::complex<double> >&)’.
>>>>
>>>> Is it not possible to use the function for complex-values systems?
>>>>
>>>> Thank you!
>>>>
>>>> Kind regards,
>>>> Mariia
>>>>
>>>> -- 
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>>>> .
>>>>
>>> -- 
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