{"id":"https://openalex.org/W1501580593","doi":"https://doi.org/10.1007/bf02250636","title":"Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge","display_name":"Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge","publication_year":1990,"publication_date":"1990-09-01","ids":{"openalex":"https://openalex.org/W1501580593","doi":"https://doi.org/10.1007/bf02250636","mag":"1501580593"},"language":"en","primary_location":{"id":"doi:10.1007/bf02250636","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02250636","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"type":"article","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/A5108223421","display_name":"Ph. Caussignac","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Ph. Caussignac","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques, Ecole Polytechnique F\u00e9d\u00e9rale, CH-1015, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques, Ecole Polytechnique F\u00e9d\u00e9rale, CH-1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109538652","display_name":"B. Zimmermann","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"B. Zimmermann","raw_affiliation_strings":["Institut de micro- et opto\u00e9lectronique, Ecole Polytechnique F\u00e9d\u00e9rale, CH-1015, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institut de micro- et opto\u00e9lectronique, Ecole Polytechnique F\u00e9d\u00e9rale, CH-1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112448420","display_name":"R Ferro","orcid":"https://orcid.org/0000-0003-1006-3067"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"R. Ferro","raw_affiliation_strings":["D\u00e9partement de math\u00e9matiques, Ecole Polytechnique F\u00e9d\u00e9rale, CH-1015, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de math\u00e9matiques, Ecole Polytechnique F\u00e9d\u00e9rale, CH-1015, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108223421"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0271,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.72991156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"45","issue":"3","first_page":"251","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6997908353805542},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6251896619796753},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5777473449707031},{"id":"https://openalex.org/keywords/perturbation-theory","display_name":"Perturbation theory (quantum mechanics)","score":0.500626802444458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48039868474006653},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4606032967567444},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4302193522453308},{"id":"https://openalex.org/keywords/electric-potential","display_name":"Electric potential","score":0.42658355832099915},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39597123861312866},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33936116099357605},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28202545642852783},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.23470833897590637},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.18090856075286865},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18001416325569153},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12916460633277893}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6997908353805542},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6251896619796753},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5777473449707031},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.500626802444458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48039868474006653},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4606032967567444},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4302193522453308},{"id":"https://openalex.org/C58570533","wikidata":"https://www.wikidata.org/wiki/Q55451","display_name":"Electric potential","level":3,"score":0.42658355832099915},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39597123861312866},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33936116099357605},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28202545642852783},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23470833897590637},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.18090856075286865},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18001416325569153},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12916460633277893},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02250636","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02250636","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1485916122","https://openalex.org/W1543697150","https://openalex.org/W1598326876","https://openalex.org/W2040559176","https://openalex.org/W2091491115","https://openalex.org/W2099105561","https://openalex.org/W2593513989","https://openalex.org/W2799267564","https://openalex.org/W2799849221","https://openalex.org/W3135215250","https://openalex.org/W4298132033","https://openalex.org/W6600795704"],"related_works":["https://openalex.org/W4301895170","https://openalex.org/W2163760347","https://openalex.org/W2963936214","https://openalex.org/W2610026222","https://openalex.org/W2784024314","https://openalex.org/W1970485118","https://openalex.org/W2055418304","https://openalex.org/W2055780997","https://openalex.org/W2085901578","https://openalex.org/W4205608985"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}