{"id":"https://openalex.org/W2091794285","doi":"https://doi.org/10.1137/s0036139998334688","title":"Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates","display_name":"Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2091794285","doi":"https://doi.org/10.1137/s0036139998334688","mag":"2091794285"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139998334688","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998334688","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5027307741","display_name":"Peter G. Petropoulos","orcid":"https://orcid.org/0000-0003-1532-8861"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Peter G. Petropoulos","raw_affiliation_strings":["Mathematical Sciences"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027307741"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.9941,"has_fulltext":false,"cited_by_count":106,"citation_normalized_percentile":{"value":0.98145893,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"3","first_page":"1037","last_page":"1058"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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/T10787","display_name":"Lightning and Electromagnetic Phenomena","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6981098055839539},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5843522548675537},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5195246338844299},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5188018679618835},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5070202350616455},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.47127529978752136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4481024146080017},{"id":"https://openalex.org/keywords/spherical-coordinate-system","display_name":"Spherical coordinate system","score":0.44795456528663635},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3741082549095154},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.322711706161499},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14072826504707336}],"concepts":[{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6981098055839539},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5843522548675537},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5195246338844299},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5188018679618835},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5070202350616455},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.47127529978752136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4481024146080017},{"id":"https://openalex.org/C126990412","wikidata":"https://www.wikidata.org/wiki/Q203218","display_name":"Spherical coordinate system","level":2,"score":0.44795456528663635},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3741082549095154},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.322711706161499},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14072826504707336},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139998334688","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998334688","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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":27,"referenced_works":["https://openalex.org/W1520664314","https://openalex.org/W1538356049","https://openalex.org/W1540935623","https://openalex.org/W1680579736","https://openalex.org/W1963640803","https://openalex.org/W1965605578","https://openalex.org/W1965717698","https://openalex.org/W1977794655","https://openalex.org/W1994751539","https://openalex.org/W1996201390","https://openalex.org/W1997271111","https://openalex.org/W2003017040","https://openalex.org/W2003503590","https://openalex.org/W2012172583","https://openalex.org/W2014283740","https://openalex.org/W2018048720","https://openalex.org/W2026508990","https://openalex.org/W2046594464","https://openalex.org/W2075241282","https://openalex.org/W2080443871","https://openalex.org/W2140920265","https://openalex.org/W2147045459","https://openalex.org/W2153573562","https://openalex.org/W2168573126","https://openalex.org/W2596393192","https://openalex.org/W3039083618","https://openalex.org/W4212946773"],"related_works":["https://openalex.org/W2104039449","https://openalex.org/W3128714934","https://openalex.org/W1978524766","https://openalex.org/W2142523768","https://openalex.org/W2650724867","https://openalex.org/W4368248817","https://openalex.org/W2019135187","https://openalex.org/W4319039959","https://openalex.org/W2166079320","https://openalex.org/W4313397281"],"abstract_inverted_index":{"A":[0,64],"scaling":[1],"argument":[2],"is":[3,67],"used":[4],"to":[5,10,37,76],"derive":[6],"reflectionless":[7,34],"sponge":[8,35],"layers":[9,36,55],"absorb":[11,38],"outgoing":[12,39],"time-harmonic":[13],"waves":[14,41],"in":[15,24,42],"numerical":[16,43],"solutions":[17,44],"of":[18,45,81],"the":[19,46,78],"three-dimensional":[20],"elliptic":[21],"Maxwell":[22,48],"equations":[23,49],"rectangular,":[25],"cylindrical,":[26],"and":[27,50],"spherical":[28],"coordinates.":[29],"We":[30],"also":[31],"develop":[32],"our":[33,86],"transient":[40],"time-domain":[47],"prove":[51],"that":[52],"these":[53],"absorbing":[54],"are":[56],"described":[57],"by":[58,72,85],"causal,":[59],"strongly":[60],"well-posed":[61],"hyperbolic":[62],"systems.":[63],"representative":[65],"result":[66],"given":[68],"for":[69,91],"wave":[70],"scattering":[71],"a":[73],"compact":[74],"obstacle":[75],"demonstrate":[77],"many":[79],"orders":[80],"magnitude":[82],"improvement":[83],"offered":[84],"approach":[87],"over":[88],"standard":[89],"techniques":[90],"computational":[92],"domain":[93],"truncation.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}