{"id":"https://openalex.org/W2210463603","doi":null,"title":"A hybrid Picard-Newton Acceleration Scheme for Non-Linear Time-Harmonic Problems","display_name":"A hybrid Picard-Newton Acceleration Scheme for Non-Linear Time-Harmonic Problems","publication_year":2006,"publication_date":"2006-04-04","ids":{"openalex":"https://openalex.org/W2210463603","mag":"2210463603"},"language":"en","primary_location":{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:28766","doi":null,"is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/28766/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Konferenzver\u00f6ffentlichung"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":[],"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/A5111887763","display_name":"Hans Vande Sande","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210161696","display_name":"Atlas Copco (Belgium)","ror":"https://ror.org/04hww2965","country_code":"BE","type":"company","lineage":["https://openalex.org/I4210105379","https://openalex.org/I4210161696"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Hans Vande Sande","raw_affiliation_strings":["Atlas Copco Airpower, Wilrijk, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Atlas Copco Airpower, Wilrijk, Belgium","institution_ids":["https://openalex.org/I4210161696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112216387","display_name":"Timotheus Boonen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Timotheus Boonen","raw_affiliation_strings":["KU Leuven, Department of Computer Science, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KU Leuven, Department of Computer Science, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003631344","display_name":"Herbert De Gersem","orcid":"https://orcid.org/0000-0003-2709-2518","observed_orcids":["https://orcid.org/0000-0003-2709-2518"]},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Herbert De Gersem","raw_affiliation_strings":["TU Darmstadt, Institut f\u00fcr Theorie Elektromagnetischer Felder, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2709-2518","affiliations":[{"raw_affiliation_string":"TU Darmstadt, Institut f\u00fcr Theorie Elektromagnetischer Felder, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025572650","display_name":"Fran\u00e7ois Henrotte","orcid":"https://orcid.org/0000-0003-1578-1367","observed_orcids":["https://orcid.org/0000-0003-1578-1367"]},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Henrotte","raw_affiliation_strings":["RWTH Aachen, Institut f\u00fcr Elektrische Maschinen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1578-1367","affiliations":[{"raw_affiliation_string":"RWTH Aachen, Institut f\u00fcr Elektrische Maschinen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043162288","display_name":"Kay Hameyer","orcid":"https://orcid.org/0000-0003-1995-8801","observed_orcids":["https://orcid.org/0000-0003-1995-8801"]},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kay Hameyer","raw_affiliation_strings":["RWTH Aachen, Institut f\u00fcr Elektrische Maschinen, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1995-8801","affiliations":[{"raw_affiliation_string":"RWTH Aachen, Institut f\u00fcr Elektrische Maschinen, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.29679144,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.7314000129699707,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.7314000129699707,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.07109999656677246,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10278","display_name":"Electric Motor Design and Analysis","score":0.056299999356269836,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/picard-iteration","display_name":"Picard iteration","score":0.6069999933242798},{"id":"https://openalex.org/keywords/newton-s-method","display_name":"Newton's method","score":0.9729999899864197},{"id":"https://openalex.org/keywords/convergence-acceleration","display_name":"convergence acceleration","score":0.8379999995231628},{"id":"https://openalex.org/keywords/quadratic-convergence","display_name":"quadratic convergence","score":0.7990000247955322},{"id":"https://openalex.org/keywords/induction-motor","display_name":"induction motor","score":0.6589999794960022},{"id":"https://openalex.org/keywords/short-circuit-operation","display_name":"short-circuit operation","score":0.9539999961853027},{"id":"https://openalex.org/keywords/electromagnetic-transient-simulation","display_name":"electromagnetic transient simulation","score":0.4390000104904175}],"concepts":[{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.69109046459198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6513218879699707},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.6200486421585083},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5531696081161499},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5372651815414429},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5305538177490234},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5103821158409119},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4904651343822479},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4735530912876129},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4330289661884308},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41359442472457886},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3482629954814911},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26047489047050476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2324928641319275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18025904893875122},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17327934503555298},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0955057144165039},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:28766","doi":null,"is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/28766/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Konferenzver\u00f6ffentlichung"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:78910","doi":null,"is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/78910/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Artikel"},{"id":"mag:2210463603","doi":null,"is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/document/5754918/","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W116599307","https://openalex.org/W7099769032","https://openalex.org/W2300718419","https://openalex.org/W4312710303","https://openalex.org/W2521808220","https://openalex.org/W2378371338","https://openalex.org/W2367370567","https://openalex.org/W2265475795","https://openalex.org/W2116098964","https://openalex.org/W2015898169"],"abstract_inverted_index":{"This":[0,43],"paper":[1],"presents":[2],"a":[3,47,65],"combined":[4],"Picard-Newton":[5],"scheme":[6],"for":[7,56],"iteratively":[8],"solving":[9],"equations.":[10],"The":[11,52],"solution":[12,41],"process":[13],"is":[14,33,54],"started":[15],"by":[16],"performing":[17],"Picard-iterations.":[18],"As":[19],"soon":[20],"as":[21],"an":[22],"estimator":[23],"indicates":[24],"that":[25],"the":[26,31,40,57,61],"expected":[27],"convergence":[28],"rate":[29],"of":[30,60,64],"Newton-strategy":[32],"close":[34],"to":[35],"quadratic,":[36],"Newton-iterations":[37],"take":[38],"over":[39],"process.":[42],"hybrid":[44],"approach":[45],"yields":[46],"shorter":[48],"overall":[49],"computation":[50],"time.":[51],"method":[53],"illustrated":[55],"two-dimensional":[58],"simulation":[59],"short-circuit":[62],"operation":[63],"400":[66],"kW":[67],"induction":[68],"motor.":[69]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2016-06-24T00:00:00"}
