{"id":"https://openalex.org/W4409054549","doi":"https://doi.org/10.1007/978-3-031-85703-4_11","title":"Minimization of\u00a0Nonlinear Energies in\u00a0Python Using FEM and\u00a0Automatic Differentiation Tools","display_name":"Minimization of\u00a0Nonlinear Energies in\u00a0Python Using FEM and\u00a0Automatic Differentiation Tools","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4409054549","doi":"https://doi.org/10.1007/978-3-031-85703-4_11"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-85703-4_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-85703-4_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019827021","display_name":"Michal B\u00e9re\u0161","orcid":"https://orcid.org/0000-0001-8588-3268"},"institutions":[{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]},{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Michal B\u00e9re\u0161","raw_affiliation_strings":["Department of Applied Mathematics, VSB - Technical University of Ostrava, 17. listopadu 15/2172, Ostrava, 708 00, Czech Republic","Institute of Geonics of the Czech Academy of Sciences, Studentsk\u00e1 1768, Ostrava, 708 00, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, VSB - Technical University of Ostrava, 17. listopadu 15/2172, Ostrava, 708 00, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics of the Czech Academy of Sciences, Studentsk\u00e1 1768, Ostrava, 708 00, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076931768","display_name":"Jan Valdman","orcid":"https://orcid.org/0000-0002-6081-5362"},"institutions":[{"id":"https://openalex.org/I4210119419","display_name":"Czech Academy of Sciences, Institute of Information Theory and Automation","ror":"https://ror.org/03h1hsz49","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210119419"]},{"id":"https://openalex.org/I3124161356","display_name":"University of South Bohemia in \u010cesk\u00e9 Bud\u011bjovice","ror":"https://ror.org/033n3pw66","country_code":"CZ","type":"education","lineage":["https://openalex.org/I3124161356"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Valdman","raw_affiliation_strings":["Department of Computer Science, Faculty of Science, University of South Bohemia, Brani\u0161ovsk\u00e1 31, 37005, \u010cesk\u00e9 Bud\u011bjovice, Czech Republic","Institute of Information Theory and Automation of the Czech Academy of Sciences, Pod vod\u00e1renskou v\u011b\u017e\u00ed 4, 18208, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Faculty of Science, University of South Bohemia, Brani\u0161ovsk\u00e1 31, 37005, \u010cesk\u00e9 Bud\u011bjovice, Czech Republic","institution_ids":["https://openalex.org/I3124161356"]},{"raw_affiliation_string":"Institute of Information Theory and Automation of the Czech Academy of Sciences, Pod vod\u00e1renskou v\u011b\u017e\u00ed 4, 18208, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210119419"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019827021"],"corresponding_institution_ids":["https://openalex.org/I142208455","https://openalex.org/I4210112637"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12236448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"159","last_page":"173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9650999903678894,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9595999717712402,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/python","display_name":"Python (programming language)","score":0.9004209041595459},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7795907258987427},{"id":"https://openalex.org/keywords/automatic-differentiation","display_name":"Automatic differentiation","score":0.7252610921859741},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5706435441970825},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5653179287910461},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.512570858001709},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.49548161029815674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38638782501220703},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.371294230222702},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33130037784576416},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.32672691345214844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12790557742118835},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07867559790611267},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06588408350944519}],"concepts":[{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.9004209041595459},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7795907258987427},{"id":"https://openalex.org/C133512626","wikidata":"https://www.wikidata.org/wiki/Q787371","display_name":"Automatic differentiation","level":3,"score":0.7252610921859741},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5706435441970825},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5653179287910461},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.512570858001709},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.49548161029815674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38638782501220703},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.371294230222702},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33130037784576416},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.32672691345214844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12790557742118835},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07867559790611267},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06588408350944519},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-85703-4_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-85703-4_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1963564197","https://openalex.org/W2919483911","https://openalex.org/W2941765503","https://openalex.org/W3135379030","https://openalex.org/W3197264929","https://openalex.org/W4205634890","https://openalex.org/W4293241248","https://openalex.org/W4293775970","https://openalex.org/W4367155890","https://openalex.org/W4383172123","https://openalex.org/W6602758235"],"related_works":["https://openalex.org/W4230546540","https://openalex.org/W1543341614","https://openalex.org/W1718642889","https://openalex.org/W2553993726","https://openalex.org/W2341492732","https://openalex.org/W3090641240","https://openalex.org/W2768092088","https://openalex.org/W2207495067","https://openalex.org/W1906486629","https://openalex.org/W1486009489"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}