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f | 1 | { | f | 1 | { |
2 | "author": "D\u00f6rich, Benjamin", | 2 | "author": "D\u00f6rich, Benjamin", | ||
3 | "author_email": "", | 3 | "author_email": "", | ||
4 | "creator_user_id": "17755db4-395a-4b3b-ac09-e8e3484ca700", | 4 | "creator_user_id": "17755db4-395a-4b3b-ac09-e8e3484ca700", | ||
5 | "doi": "10.35097/1469", | 5 | "doi": "10.35097/1469", | ||
6 | "doi_date_published": "2023", | 6 | "doi_date_published": "2023", | ||
7 | "doi_publisher": "", | 7 | "doi_publisher": "", | ||
8 | "doi_status": "True", | 8 | "doi_status": "True", | ||
9 | "extra_authors": [ | 9 | "extra_authors": [ | ||
10 | { | 10 | { | ||
11 | "extra_author": "Henning, Patrick", | 11 | "extra_author": "Henning, Patrick", | ||
12 | "orcid": "" | 12 | "orcid": "" | ||
13 | } | 13 | } | ||
14 | ], | 14 | ], | ||
15 | "groups": [], | 15 | "groups": [], | ||
16 | "id": "24ab0b75-8736-4b09-aedc-f4006cf235a5", | 16 | "id": "24ab0b75-8736-4b09-aedc-f4006cf235a5", | ||
17 | "isopen": false, | 17 | "isopen": false, | ||
18 | "license_id": "CC BY-NC-SA 4.0 | 18 | "license_id": "CC BY-NC-SA 4.0 | ||
19 | Attribution-NonCommercial-ShareAlike", | 19 | Attribution-NonCommercial-ShareAlike", | ||
20 | "license_title": "CC BY-NC-SA 4.0 | 20 | "license_title": "CC BY-NC-SA 4.0 | ||
21 | Attribution-NonCommercial-ShareAlike", | 21 | Attribution-NonCommercial-ShareAlike", | ||
22 | "metadata_created": "2023-08-04T08:50:51.557674", | 22 | "metadata_created": "2023-08-04T08:50:51.557674", | ||
t | 23 | "metadata_modified": "2023-08-04T09:04:20.494949", | t | 23 | "metadata_modified": "2023-08-04T09:31:25.169022", |
24 | "name": "rdr-doi-10-35097-1469", | 24 | "name": "rdr-doi-10-35097-1469", | ||
25 | "notes": "TechnicalRemarks: This program is intended to reproduce | 25 | "notes": "TechnicalRemarks: This program is intended to reproduce | ||
26 | the results from the preprint \r\n\r\n\"Error bounds for discrete | 26 | the results from the preprint \r\n\r\n\"Error bounds for discrete | ||
27 | minimizers of the Ginzburg--Landau energy in the high-$\\kappa$ | 27 | minimizers of the Ginzburg--Landau energy in the high-$\\kappa$ | ||
28 | regime\"\r\nby Benjamin D\u00f6rich and Patrick Henning\r\n\r\nThe | 28 | regime\"\r\nby Benjamin D\u00f6rich and Patrick Henning\r\n\r\nThe | ||
29 | codes generates the lines in Figure 1\r\n\r\n#### | 29 | codes generates the lines in Figure 1\r\n\r\n#### | ||
30 | Requirements\r\n\r\nThe program is tested with \r\n\r\nUbuntu 20.04.5 | 30 | Requirements\r\n\r\nThe program is tested with \r\n\r\nUbuntu 20.04.5 | ||
31 | LTS and Python 3.8.10 and the following version of its | 31 | LTS and Python 3.8.10 and the following version of its | ||
32 | modules:\r\n\r\n- numpy - 1.17.4\r\n- scipy - | 32 | modules:\r\n\r\n- numpy - 1.17.4\r\n- scipy - | ||
33 | 1.3.3\r\n- matplotlib - 3.1.2\r\n- tikzplotlib - 0.9.8\r\n- | 33 | 1.3.3\r\n- matplotlib - 3.1.2\r\n- tikzplotlib - 0.9.8\r\n- | ||
34 | dolfin - 2019.2.0.dev0\r\n- fenics - | 34 | dolfin - 2019.2.0.dev0\r\n- fenics - | ||
35 | 2019.2.0.dev0\r\n\r\n\r\n#### Figures\r\n\r\nIn the folder | 35 | 2019.2.0.dev0\r\n\r\n\r\n#### Figures\r\n\r\nIn the folder | ||
36 | \"CRC1173_Preprint_2023-11_Codes\" open a console and run the | 36 | \"CRC1173_Preprint_2023-11_Codes\" open a console and run the | ||
37 | following commands after each other (2a-c can be executed in | 37 | following commands after each other (2a-c can be executed in | ||
38 | paralell).\r\n\r\n1) Run \"python3 c1_generate_rectangle.py\"\r\n2a) | 38 | paralell).\r\n\r\n1) Run \"python3 c1_generate_rectangle.py\"\r\n2a) | ||
39 | Run \"python3 c2_GL_FEM_comp_all_min.py\"\r\n2b) Run \"python3 | 39 | Run \"python3 c2_GL_FEM_comp_all_min.py\"\r\n2b) Run \"python3 | ||
40 | c16_GL_FEM_comp_kappa16.py\"\r\n2c) Run \"python3 | 40 | c16_GL_FEM_comp_kappa16.py\"\r\n2c) Run \"python3 | ||
41 | c20_GL_FEM_comp_kappa20.py\"\r\n3) Run \"python3 | 41 | c20_GL_FEM_comp_kappa20.py\"\r\n3) Run \"python3 | ||
42 | c3_GL_FEM_comp_all_errors.py\"\r\n4) Run \"python3 | 42 | c3_GL_FEM_comp_all_errors.py\"\r\n4) Run \"python3 | ||
43 | c4_GL_FEM_draw_error_plot.py\"\r\n\r\n\r\nAfter running the | 43 | c4_GL_FEM_draw_error_plot.py\"\r\n\r\n\r\nAfter running the | ||
44 | calculations, the files are stored as follows:\r\n\r\n(a) the folder | 44 | calculations, the files are stored as follows:\r\n\r\n(a) the folder | ||
45 | \"plots_for_paper\" contains the pdf and tikz files for the error | 45 | \"plots_for_paper\" contains the pdf and tikz files for the error | ||
46 | plots in Figure 1.\r\n(b) the folders | 46 | plots in Figure 1.\r\n(b) the folders | ||
47 | \"sol_ref_3_Mag_st_2.0_kappa_[KAPPA]_P1_square\" contain all figures | 47 | \"sol_ref_3_Mag_st_2.0_kappa_[KAPPA]_P1_square\" contain all figures | ||
48 | of the solutions where [KAPPA] is replaced by the respective value.", | 48 | of the solutions where [KAPPA] is replaced by the respective value.", | ||
49 | "num_resources": 0, | 49 | "num_resources": 0, | ||
50 | "num_tags": 4, | 50 | "num_tags": 4, | ||
51 | "orcid": "0000-0001-5840-2270", | 51 | "orcid": "0000-0001-5840-2270", | ||
52 | "organization": { | 52 | "organization": { | ||
53 | "approval_status": "approved", | 53 | "approval_status": "approved", | ||
54 | "created": "2023-01-12T13:30:23.238233", | 54 | "created": "2023-01-12T13:30:23.238233", | ||
55 | "description": "RADAR (Research Data Repository) is a | 55 | "description": "RADAR (Research Data Repository) is a | ||
56 | cross-disciplinary repository for archiving and publishing research | 56 | cross-disciplinary repository for archiving and publishing research | ||
57 | data from completed scientific studies and projects. The focus is on | 57 | data from completed scientific studies and projects. The focus is on | ||
58 | research data from subjects that do not yet have their own | 58 | research data from subjects that do not yet have their own | ||
59 | discipline-specific infrastructures for research data management. ", | 59 | discipline-specific infrastructures for research data management. ", | ||
60 | "id": "013c89a9-383c-4200-8baa-0f78bf1d91f9", | 60 | "id": "013c89a9-383c-4200-8baa-0f78bf1d91f9", | ||
61 | "image_url": "radar-logo.svg", | 61 | "image_url": "radar-logo.svg", | ||
62 | "is_organization": true, | 62 | "is_organization": true, | ||
63 | "name": "radar", | 63 | "name": "radar", | ||
64 | "state": "active", | 64 | "state": "active", | ||
65 | "title": "RADAR", | 65 | "title": "RADAR", | ||
66 | "type": "organization" | 66 | "type": "organization" | ||
67 | }, | 67 | }, | ||
68 | "owner_org": "013c89a9-383c-4200-8baa-0f78bf1d91f9", | 68 | "owner_org": "013c89a9-383c-4200-8baa-0f78bf1d91f9", | ||
69 | "private": false, | 69 | "private": false, | ||
70 | "production_year": "2023", | 70 | "production_year": "2023", | ||
71 | "publication_year": "2023", | 71 | "publication_year": "2023", | ||
72 | "publishers": [ | 72 | "publishers": [ | ||
73 | { | 73 | { | ||
74 | "publisher": "Karlsruhe Institute of Technology" | 74 | "publisher": "Karlsruhe Institute of Technology" | ||
75 | } | 75 | } | ||
76 | ], | 76 | ], | ||
77 | "relationships_as_object": [], | 77 | "relationships_as_object": [], | ||
78 | "relationships_as_subject": [], | 78 | "relationships_as_subject": [], | ||
79 | "repository_name": "RADAR (Research Data Repository)", | 79 | "repository_name": "RADAR (Research Data Repository)", | ||
80 | "resources": [], | 80 | "resources": [], | ||
81 | "services_used_list": "", | 81 | "services_used_list": "", | ||
82 | "source_metadata_created": "2023", | 82 | "source_metadata_created": "2023", | ||
83 | "source_metadata_modified": "", | 83 | "source_metadata_modified": "", | ||
84 | "state": "active", | 84 | "state": "active", | ||
85 | "subject_areas": [ | 85 | "subject_areas": [ | ||
86 | { | 86 | { | ||
87 | "subject_area_additional": "", | 87 | "subject_area_additional": "", | ||
88 | "subject_area_name": "Mathematics" | 88 | "subject_area_name": "Mathematics" | ||
89 | } | 89 | } | ||
90 | ], | 90 | ], | ||
91 | "tags": [ | 91 | "tags": [ | ||
92 | { | 92 | { | ||
93 | "display_name": "GinzburgLandau equation", | 93 | "display_name": "GinzburgLandau equation", | ||
94 | "id": "61223212-851e-401c-aa00-0ed22ca1e15f", | 94 | "id": "61223212-851e-401c-aa00-0ed22ca1e15f", | ||
95 | "name": "GinzburgLandau equation", | 95 | "name": "GinzburgLandau equation", | ||
96 | "state": "active", | 96 | "state": "active", | ||
97 | "vocabulary_id": null | 97 | "vocabulary_id": null | ||
98 | }, | 98 | }, | ||
99 | { | 99 | { | ||
100 | "display_name": "error analysis", | 100 | "display_name": "error analysis", | ||
101 | "id": "408f9606-823e-4494-9527-e10be495ea6d", | 101 | "id": "408f9606-823e-4494-9527-e10be495ea6d", | ||
102 | "name": "error analysis", | 102 | "name": "error analysis", | ||
103 | "state": "active", | 103 | "state": "active", | ||
104 | "vocabulary_id": null | 104 | "vocabulary_id": null | ||
105 | }, | 105 | }, | ||
106 | { | 106 | { | ||
107 | "display_name": "finite element method", | 107 | "display_name": "finite element method", | ||
108 | "id": "f51a89e7-f126-4fee-85d4-eda75e32e5c2", | 108 | "id": "f51a89e7-f126-4fee-85d4-eda75e32e5c2", | ||
109 | "name": "finite element method", | 109 | "name": "finite element method", | ||
110 | "state": "active", | 110 | "state": "active", | ||
111 | "vocabulary_id": null | 111 | "vocabulary_id": null | ||
112 | }, | 112 | }, | ||
113 | { | 113 | { | ||
114 | "display_name": "superconductivity", | 114 | "display_name": "superconductivity", | ||
115 | "id": "fe372426-f43c-4f01-baf5-0b7e6fea9c0d", | 115 | "id": "fe372426-f43c-4f01-baf5-0b7e6fea9c0d", | ||
116 | "name": "superconductivity", | 116 | "name": "superconductivity", | ||
117 | "state": "active", | 117 | "state": "active", | ||
118 | "vocabulary_id": null | 118 | "vocabulary_id": null | ||
119 | } | 119 | } | ||
120 | ], | 120 | ], | ||
121 | "title": "Numerical experiments for \"error bounds for discrete | 121 | "title": "Numerical experiments for \"error bounds for discrete | ||
122 | minimizers of the ginzburg--landau energy in the high-$\\kappa$ | 122 | minimizers of the ginzburg--landau energy in the high-$\\kappa$ | ||
123 | regime\"", | 123 | regime\"", | ||
124 | "type": "vdataset", | 124 | "type": "vdataset", | ||
125 | "url": "https://doi.org/10.35097/1469" | 125 | "url": "https://doi.org/10.35097/1469" | ||
126 | } | 126 | } |