{"id":"https://openalex.org/W4322487060","doi":"https://doi.org/10.1007/s11075-022-01428-2","title":"Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method","display_name":"Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method","publication_year":2023,"publication_date":"2023-02-28","ids":{"openalex":"https://openalex.org/W4322487060","doi":"https://doi.org/10.1007/s11075-022-01428-2"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-022-01428-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01428-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01428-2.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01428-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080848896","display_name":"J\u00f6rg Liesen","orcid":"https://orcid.org/0000-0002-3677-373X"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00f6rg Liesen","raw_affiliation_strings":["Institute of Mathematics, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3677-373X","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technische Universit\u00e4t Berlin, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051511553","display_name":"Mohamed M. S. Nasser","orcid":"https://orcid.org/0000-0002-2561-0978"},"institutions":[{"id":"https://openalex.org/I39587148","display_name":"Wichita State University","ror":"https://ror.org/00c4e7y75","country_code":"US","type":"education","lineage":["https://openalex.org/I39587148"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohamed M. S. Nasser","raw_affiliation_strings":["Department of Mathematics, Statistics, and Physics, Wichita State University, Wichita, KS, 67260-0033, USA"],"raw_orcid":"https://orcid.org/0000-0002-2561-0978","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Physics, Wichita State University, Wichita, KS, 67260-0033, USA","institution_ids":["https://openalex.org/I39587148"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033235210","display_name":"Olivier S\u00e8te","orcid":"https://orcid.org/0000-0003-3107-3053"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Olivier S\u00e8te","raw_affiliation_strings":["Institute of Mathematics and Computer Science, Universit\u00e4t Greifswald, Walther-Rathenau-Stra\u00dfe 47, 17489, Greifswald, Germany"],"raw_orcid":"https://orcid.org/0000-0003-3107-3053","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Universit\u00e4t Greifswald, Walther-Rathenau-Stra\u00dfe 47, 17489, Greifswald, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033235210"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.6909,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72016461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"93","issue":"2","first_page":"581","last_page":"614"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6753983497619629},{"id":"https://openalex.org/keywords/multipole-expansion","display_name":"Multipole expansion","score":0.6456000804901123},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.638357400894165},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5767563581466675},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5095903873443604},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5068283677101135},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4926195740699768},{"id":"https://openalex.org/keywords/charge","display_name":"Charge (physics)","score":0.47861117124557495},{"id":"https://openalex.org/keywords/fast-multipole-method","display_name":"Fast multipole method","score":0.43490564823150635},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.422201007604599},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3526190221309662},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2948857545852661},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10272789001464844},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10230302810668945}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6753983497619629},{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.6456000804901123},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.638357400894165},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5767563581466675},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5095903873443604},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5068283677101135},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4926195740699768},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.47861117124557495},{"id":"https://openalex.org/C135115559","wikidata":"https://www.wikidata.org/wiki/Q5437040","display_name":"Fast multipole method","level":3,"score":0.43490564823150635},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.422201007604599},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3526190221309662},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2948857545852661},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10272789001464844},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10230302810668945},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-022-01428-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01428-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01428-2.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11075-022-01428-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-022-01428-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-022-01428-2.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320330128","display_name":"Universit\u00e4t Greifswald","ror":"https://ror.org/00r1edq15"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4322487060.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1972140029","https://openalex.org/W1983341224","https://openalex.org/W1987333484","https://openalex.org/W2018850201","https://openalex.org/W2021800795","https://openalex.org/W2043493273","https://openalex.org/W2049434959","https://openalex.org/W2049615268","https://openalex.org/W2053429149","https://openalex.org/W2073270420","https://openalex.org/W2079040194","https://openalex.org/W2083206954","https://openalex.org/W2086261919","https://openalex.org/W2112923425","https://openalex.org/W2125426869","https://openalex.org/W2140153041","https://openalex.org/W2154464757","https://openalex.org/W2315133973","https://openalex.org/W2316564661","https://openalex.org/W2498161414","https://openalex.org/W2504492770","https://openalex.org/W2532373555","https://openalex.org/W3103628751","https://openalex.org/W4223911808","https://openalex.org/W4235715842"],"related_works":["https://openalex.org/W1822333417","https://openalex.org/W2952819168","https://openalex.org/W2158582466","https://openalex.org/W2076771790","https://openalex.org/W3105194265","https://openalex.org/W599820626","https://openalex.org/W2125081029","https://openalex.org/W9152652","https://openalex.org/W2034268890","https://openalex.org/W47721382"],"abstract_inverted_index":{"Abstract":[0],"We":[1,80,117],"apply":[2],"the":[3,12,51,84,91,107,113,119,122,129],"charge":[4,32],"simulation":[5],"method":[6,39,57,123],"(CSM)":[7],"in":[8,59,90],"order":[9],"to":[10,27],"compute":[11],"logarithmic":[13],"capacity":[14],"of":[15,19,50,78,83,121],"compact":[16],"sets":[17,127],"consisting":[18],"(infinitely)":[20],"many":[21],"\u201csmall\u201d":[22],"components.":[23],"This":[24],"application":[25],"allows":[26],"use":[28,120],"just":[29],"a":[30,74],"single":[31],"point":[33],"for":[34],"each":[35],"component.":[36],"The":[37],"resulting":[38],"therefore":[40],"is":[41],"significantly":[42],"more":[43],"efficient":[44],"than":[45],"methods":[46],"based":[47],"on":[48,124],"discretizations":[49],"boundaries":[52],"(for":[53],"example,":[54],"our":[55],"own":[56],"presented":[58],"Liesen":[60],"et":[61],"al.":[62],"(":[63],"Comput.":[64],"Methods":[65],"Funct.":[66],"Theory":[67],"17":[68],",":[69],"689\u2013713,":[70],"2017)),":[71],"while":[72],"maintaining":[73],"very":[75],"high":[76],"level":[77],"accuracy.":[79],"study":[81],"properties":[82],"linear":[85],"algebraic":[86],"systems":[87,97],"that":[88],"arise":[89],"CSM,":[92],"and":[93,128],"show":[94],"how":[95],"these":[96],"can":[98],"be":[99],"solved":[100],"efficiently":[101],"using":[102,112],"preconditioned":[103],"iterative":[104],"methods,":[105],"where":[106],"matrix-vector":[108],"products":[109],"are":[110],"computed":[111],"fast":[114],"multipole":[115],"method.":[116],"illustrate":[118],"generalized":[125],"Cantor":[126,130],"dust.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2023-02-28T00:00:00"}
