{"id":"https://openalex.org/W3100409376","doi":"https://doi.org/10.1137/15m103251x","title":"Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions","display_name":"Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W3100409376","doi":"https://doi.org/10.1137/15m103251x","mag":"3100409376"},"language":"en","primary_location":{"id":"doi:10.1137/15m103251x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m103251x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1507.05925","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005247922","display_name":"Manas Rachh","orcid":"https://orcid.org/0000-0001-5488-3839"},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Manas Rachh","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University. New York, NY 10012-1110"],"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University. New York, NY 10012-1110","institution_ids":["https://openalex.org/I36672615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074875493","display_name":"Leslie Greengard","orcid":"https://orcid.org/0000-0003-2895-8715"},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I4210107338","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210107338"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Greengard","raw_affiliation_strings":["Simons Foundation and Courant Institute of Mathematical Sciences, New York University"],"affiliations":[{"raw_affiliation_string":"Simons Foundation and Courant Institute of Mathematical Sciences, New York University","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I4210107338"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005247922"],"corresponding_institution_ids":["https://openalex.org/I36672615"],"apc_list":null,"apc_paid":null,"fwci":2.1986,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.88600758,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"54","issue":"5","first_page":"2889","last_page":"2909"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9962999820709229,"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/T11851","display_name":"Electromagnetic Compatibility and Measurements","score":0.9955000281333923,"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/mathematics","display_name":"Mathematics","score":0.7407322525978088},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.6890798807144165},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6812941431999207},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.6379181146621704},{"id":"https://openalex.org/keywords/fredholm-integral-equation","display_name":"Fredholm integral equation","score":0.6088477373123169},{"id":"https://openalex.org/keywords/multipole-expansion","display_name":"Multipole expansion","score":0.5260895490646362},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5142304301261902},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.48226577043533325},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4735792577266693},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.46189582347869873},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11801335215568542},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.07934001088142395}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7407322525978088},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6890798807144165},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6812941431999207},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.6379181146621704},{"id":"https://openalex.org/C89285879","wikidata":"https://www.wikidata.org/wiki/Q2991898","display_name":"Fredholm integral equation","level":3,"score":0.6088477373123169},{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.5260895490646362},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5142304301261902},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.48226577043533325},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4735792577266693},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.46189582347869873},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11801335215568542},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.07934001088142395},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m103251x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m103251x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1507.05925","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.05925","pdf_url":"https://arxiv.org/pdf/1507.05925","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1507.05925","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.05925","pdf_url":"https://arxiv.org/pdf/1507.05925","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6668384361","display_name":null,"funder_award_id":"FA9550-10-0180","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7469648804","display_name":null,"funder_award_id":"DEFGO288ER25053","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W554285","https://openalex.org/W187542397","https://openalex.org/W599820626","https://openalex.org/W1963734567","https://openalex.org/W1998301011","https://openalex.org/W2013776667","https://openalex.org/W2019890335","https://openalex.org/W2020960823","https://openalex.org/W2022462423","https://openalex.org/W2027348461","https://openalex.org/W2029634195","https://openalex.org/W2032342316","https://openalex.org/W2033172681","https://openalex.org/W2037125356","https://openalex.org/W2051787855","https://openalex.org/W2057200308","https://openalex.org/W2060291257","https://openalex.org/W2060819023","https://openalex.org/W2080243100","https://openalex.org/W2084826328","https://openalex.org/W2086261919","https://openalex.org/W2087058805","https://openalex.org/W2125454707","https://openalex.org/W2132820941","https://openalex.org/W2142410882","https://openalex.org/W2158699284","https://openalex.org/W2163102067","https://openalex.org/W2164011120","https://openalex.org/W3038515387","https://openalex.org/W3039083618","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W599820626","https://openalex.org/W2008452721","https://openalex.org/W2158582466","https://openalex.org/W2383541900","https://openalex.org/W1577235141","https://openalex.org/W2351450261","https://openalex.org/W2058794676","https://openalex.org/W2363724863","https://openalex.org/W1963845699","https://openalex.org/W3191646105"],"abstract_inverted_index":{"We":[0,68],"present":[1],"a":[2],"new,":[3],"unified":[4],"approach":[5],"to":[6,30],"the":[7,10,16,36],"solution":[8],"of":[9,35,73],"elastance":[11],"problem":[12,18],"in":[13,19,78],"electrostatics":[14],"and":[15,39,54],"mobility":[17],"Stokes":[20],"flow.":[21],"More":[22],"precisely,":[23],"we":[24],"construct":[25],"integral":[26,33,48],"representations":[27],"that":[28],"lead":[29],"resonance-free":[31],"Fredholm":[32],"equations":[34,49],"second":[37],"kind":[38],"well-conditioned":[40],"linear":[41],"systems":[42],"upon":[43],"discretization.":[44],"By":[45],"coupling":[46],"our":[47],"with":[50,63],"high":[51],"order":[52],"quadrature":[53],"fast":[55],"multipole":[56],"acceleration,":[57],"large-scale":[58],"problems":[59,77],"can":[60],"be":[61],"solved":[62],"only":[64],"modest":[65],"computing":[66],"resources.":[67],"also":[69],"discuss":[70],"some":[71],"applications":[72],"these":[74],"boundary":[75],"value":[76],"applied":[79],"physics.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}