{"id":"https://openalex.org/W2202564069","doi":"https://doi.org/10.1137/15m1028248","title":"Smoothed Corners and Scattered Waves","display_name":"Smoothed Corners and Scattered Waves","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2202564069","doi":"https://doi.org/10.1137/15m1028248","mag":"2202564069"},"language":"en","primary_location":{"id":"doi:10.1137/15m1028248","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1028248","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1506.08449","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021247233","display_name":"Charles L. Epstein","orcid":"https://orcid.org/0000-0003-1831-473X"},"institutions":[{"id":"https://openalex.org/I36788626","display_name":"California University of Pennsylvania","ror":"https://ror.org/01spssf70","country_code":"US","type":"education","lineage":["https://openalex.org/I36788626"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Charles L. Epstein","raw_affiliation_strings":["#N#               * University of Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"#N#               * University of Pennsylvania","institution_ids":["https://openalex.org/I36788626","https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065180175","display_name":"Michael O\u2019Neil","orcid":"https://orcid.org/0000-0003-2724-215X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael O'Neil","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0021431,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"5","first_page":"A2665","last_page":"A2698"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994999766349792,"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/smoothness","display_name":"Smoothness","score":0.7686371803283691},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7498546838760376},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6191216111183167},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5953407287597656},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5761486291885376},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5111919045448303},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.49729517102241516},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4841511845588684},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.478715181350708},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.462595134973526},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.45440763235092163},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.43512290716171265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43297675251960754},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33277565240859985},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.22368311882019043},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15056031942367554}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7686371803283691},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7498546838760376},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6191216111183167},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5953407287597656},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5761486291885376},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5111919045448303},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.49729517102241516},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4841511845588684},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.478715181350708},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.462595134973526},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.45440763235092163},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43512290716171265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43297675251960754},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33277565240859985},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.22368311882019043},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15056031942367554},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/15m1028248","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1028248","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1506.08449","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.08449","pdf_url":"https://arxiv.org/pdf/1506.08449","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":"","raw_type":"text"},{"id":"pmh:oai:arXiv.org:1506.08449","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1506.08449","pdf_url":"https://arxiv.org/pdf/1506.08449","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"},{"id":"mag:2202564069","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1506.08449.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1506.08449","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1506.08449","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1506.08449","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.08449","pdf_url":"https://arxiv.org/pdf/1506.08449","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":"","raw_type":"text"},"sustainable_development_goals":[{"score":0.8199999928474426,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3246479682","display_name":null,"funder_award_id":"DMS-1507396","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4009362457","display_name":null,"funder_award_id":"FA9550-10-1-0180","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4435029097","display_name":null,"funder_award_id":"DMS12-05851","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G4806398272","display_name":null,"funder_award_id":"W911NF-12-1-0552","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6187140052","display_name":null,"funder_award_id":"DMS09-35165","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G6411012847","display_name":"Degenerate Diffusions on Manifolds with Corners","funder_award_id":"1507396","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7577759758","display_name":null,"funder_award_id":"DMS12-05851","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7687679989","display_name":null,"funder_award_id":"DMS-1507396","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2202564069.pdf","grobid_xml":"https://content.openalex.org/works/W2202564069.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W253307310","https://openalex.org/W1517670975","https://openalex.org/W1539259863","https://openalex.org/W1870773021","https://openalex.org/W1973506540","https://openalex.org/W1980928855","https://openalex.org/W1984741461","https://openalex.org/W1986776427","https://openalex.org/W1990081118","https://openalex.org/W1998611864","https://openalex.org/W1999708258","https://openalex.org/W2000554621","https://openalex.org/W2010717035","https://openalex.org/W2014016024","https://openalex.org/W2014208709","https://openalex.org/W2019517543","https://openalex.org/W2020680798","https://openalex.org/W2029141900","https://openalex.org/W2030403041","https://openalex.org/W2030810782","https://openalex.org/W2038922352","https://openalex.org/W2046322325","https://openalex.org/W2053492453","https://openalex.org/W2055064071","https://openalex.org/W2074326410","https://openalex.org/W2078563724","https://openalex.org/W2079211982","https://openalex.org/W2084826328","https://openalex.org/W2087058805","https://openalex.org/W2087623491","https://openalex.org/W2087849682","https://openalex.org/W2097157460","https://openalex.org/W2140153041","https://openalex.org/W2144243526","https://openalex.org/W2151879755","https://openalex.org/W2159257047","https://openalex.org/W2159624012","https://openalex.org/W2160829514","https://openalex.org/W2165016898","https://openalex.org/W2228459622","https://openalex.org/W2349468399","https://openalex.org/W2502855060","https://openalex.org/W2591706928","https://openalex.org/W2741578237","https://openalex.org/W2964315977","https://openalex.org/W2964338872","https://openalex.org/W4238066606"],"related_works":["https://openalex.org/W2042845691","https://openalex.org/W137574766","https://openalex.org/W1991646002","https://openalex.org/W1489792268","https://openalex.org/W1633217601","https://openalex.org/W2379841314","https://openalex.org/W1989028615","https://openalex.org/W1964803452","https://openalex.org/W2410179883","https://openalex.org/W2044305432","https://openalex.org/W2140186962","https://openalex.org/W2809930642","https://openalex.org/W2770920520","https://openalex.org/W2073452517","https://openalex.org/W109810038","https://openalex.org/W1542792704","https://openalex.org/W2181687304","https://openalex.org/W1045360556","https://openalex.org/W2090463898","https://openalex.org/W2024681477"],"abstract_inverted_index":{"We":[0,104],"introduce":[1],"an":[2,58],"arbitrary":[3],"order,":[4],"computationally":[5],"efficient":[6],"method":[7,28],"to":[8,73,140],"smooth":[9],"corners":[10],"on":[11,22],"curves":[12],"in":[13,24,36,61,81,96,109,121],"the":[14,33,40,54,62,65,68,82,122,128,132,135,141,144],"plane,":[15],"as":[16,18],"well":[17],"edges":[19],"and":[20,43,49,64],"vertices":[21],"surfaces":[23],"${\\mathbb":[25],"R}^3.$":[26],"The":[27,51],"is":[29,57,71,130,138,147],"local,":[30],"only":[31],"modifying":[32],"original":[34],"surface":[35,56,70],"a":[37],"neighborhood":[38],"of":[39,53,67,84,134,143],"geometric":[41],"singularity,":[42],"preserves":[44],"desirable":[45],"features":[46],"like":[47],"convexity":[48],"symmetry.":[50],"smoothness":[52],"final":[55],"explicit":[59],"parameter":[60],"method,":[63],"band-limit":[66],"smoothed":[69,94],"proportional":[72,139],"its":[74],"smoothness.":[75],"Several":[76],"numerical":[77],"examples":[78],"are":[79,119],"provided":[80],"context":[83],"acoustic":[85],"scattering.":[86],"In":[87],"particular,":[88],"we":[89],"compare":[90],"scattered":[91,136],"fields":[92],"from":[93,101],"geometries":[95],"two":[97],"dimensions":[98],"with":[99],"those":[100],"polygonal":[102],"domains.":[103],"observe":[105],"that":[106,127,146],"significant":[107],"reductions":[108],"computational":[110],"cost":[111],"can":[112],"be":[113],"obtained":[114],"if":[115],"merely":[116],"approximate":[117],"solutions":[118],"desired":[120],"near-":[123],"or":[124],"far-field.":[125],"Provided":[126],"smoothing":[129],"subwavelength,":[131],"error":[133],"field":[137],"size":[142],"geometry":[145],"modified.":[148]},"counts_by_year":[],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}