Numerical experiments for "Error bounds for discrete minimizers of the Ginzburg--Landau energy in the high-$\kappa$ regime"

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 Figure 1 #### 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 "CRC1173_Preprint_2023-11_Codes" open a console and run the following commands after each other (2a-c can be executed in paralell). 1) Run "python3 c1_generate_rectangle.py" 2a) Run "python3 c2_GL_FEM_comp_all_min.py" 2b) Run "python3 c16_GL_FEM_comp_kappa16.py" 2c) Run "python3 c20_GL_FEM_comp_kappa20.py" 3) Run "python3 c3_GL_FEM_comp_all_errors.py" 4) 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 1.

(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.