Alternativer Identifier:
(KITopen-DOI) 10.5445/IR/1000157006
Verwandter Identifier:
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Ersteller/in:
Dörich, Benjamin https://orcid.org/0000-0001-5840-2270 [Institut für Angewandte und Numerische Mathematik]

Henning, Patrick [Henning, Patrick]
Beitragende:
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Titel:
Numerical experiments for "Error bounds for discrete minimizers of the Ginzburg--Landau energy in the high-$\kappa$ regime"
Weitere Titel:
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Beschreibung:
(Technical Remarks) 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.
Schlagworte:
Ginzburg–Landau equation
superconductivity
error analysis
finite element method
Zugehörige Informationen:
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Sprache:
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Erstellungsjahr:
Fachgebiet:
Mathematics
Objekttyp:
Dataset
Datenquelle:
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Verwendete Software:
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Datenverarbeitung:
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Erscheinungsjahr:
Rechteinhaber/in:

Henning, Patrick
Förderung:
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Name Speichervolumen Metadaten Upload Aktion
Status:
Publiziert
Eingestellt von:
kitopen
Erstellt am:
Archivierungsdatum:
2023-06-22
Archivgröße:
39,9 kB
Archiversteller:
kitopen
Archiv-Prüfsumme:
ff940d1eafdfc2818203204f0ceab3f0 (MD5)
Embargo-Zeitraum:
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