Alternate identifier:
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Related identifier:
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Creator/Author:
Dörich, Benjamin https://orcid.org/0000-0001-5840-2270 [Institut für Angewandte und Numerische Mathematik]

Henning, Patrick [Henning, Patrick]
Contributors:
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Title:
Numerical experiments for "Error bounds for discrete minimizers of the Ginzburg-Landau energy in the high-κ regime" (v3)
Additional titles:
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Description:
(Technical Remarks) ## Readme This program is intended to reproduce the results from the preprint "Error bounds for discrete minimizers of the Ginzburg--Landau energy in the high-$\kappa$ regime" by Benjamin Dörich and Patrick Henning The codes generates the lines in Figures2 and 3 #### Requirements The program is tested with Ubuntu 20.04.5 LTS and Python 3.8.10 and the following version of its modules: - numpy - 1.17.4 - scipy - 1.3.3 - matplotlib - 3.1.2 - tikzplotlib - 0.9.8 - dolfin - 2019.2.0.dev0 - fenics - 2019.2.0.dev0 #### Figures In the folder "code_23_DoerichHenning_GL" open a console and run the following commands after each other (2a+b, 4a+b can be executed in paralell). 1) Run "python3 c1_generate_rectangle.py" 2a) Run "python3 c2a_GL_FEM_comp_all_min_finest.py" 2b) Run "python3 c20_GL_FEM_comp_kappa20.py" 3) Run "python3 c2b_GL_FEM_comp_all_min.py" 4a) Run "python3 c3a_GL_FEM_comp_all_errors.py" 4b) Run "python3 c3b_GL_FEM_comp_all_eigs.py" 5) Run "python3 c4_GL_FEM_draw_error_plot.py" After running the calculations, the files are stored as follows: (a) the folder "plots_for_paper" contains the pdf and tikz files for the error plots in Figure 2 and 3. (b) the folders "sol_ref_3_Mag_st_2.0_kappa_[KAPPA]_P1_square" contain all figures of the solutions where [KAPPA] is replaced by the respective value.
Keywords:
Ginzburg–Landau equation superconductivity error analysis finite element method
Related information:
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Language:
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Subject areas:
Mathematics
Resource type:
Software
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Data processing:
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Publication year:
Rights holders:

Henning, Patrick
Funding:
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