{"id":"https://openalex.org/W3116830291","doi":"https://doi.org/10.1137/20m1382957","title":"Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation","display_name":"Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation","publication_year":2022,"publication_date":"2022-10-01","ids":{"openalex":"https://openalex.org/W3116830291","doi":"https://doi.org/10.1137/20m1382957","mag":"3116830291"},"language":"en","primary_location":{"id":"doi:10.1137/20m1382957","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1382957","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":"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/A5066272773","display_name":"Simon Dirckx","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simon Dirckx","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022994939","display_name":"Daan Huybrechs","orcid":"https://orcid.org/0000-0002-0536-2647"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daan Huybrechs","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0536-2647","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5079388991","display_name":"Karl Meerbergen","orcid":"https://orcid.org/0000-0002-1508-0248"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karl Meerbergen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1508-0248","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.431,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57012219,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"44","issue":"5","first_page":"B1282","last_page":"B1311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":1.0,"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":1.0,"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":0.9993000030517578,"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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":0.771679162979126},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.7610152363777161},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6181241869926453},{"id":"https://openalex.org/keywords/fast-multipole-method","display_name":"Fast multipole method","score":0.5716865062713623},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5362016558647156},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5018782615661621},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49498575925827026},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.4726898968219757},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.43748199939727783},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3781244456768036},{"id":"https://openalex.org/keywords/multipole-expansion","display_name":"Multipole expansion","score":0.35513821244239807},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.30917322635650635},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16455957293510437},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.16347098350524902},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11200371384620667}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.771679162979126},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.7610152363777161},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6181241869926453},{"id":"https://openalex.org/C135115559","wikidata":"https://www.wikidata.org/wiki/Q5437040","display_name":"Fast multipole method","level":3,"score":0.5716865062713623},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5362016558647156},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5018782615661621},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49498575925827026},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.4726898968219757},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.43748199939727783},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3781244456768036},{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.35513821244239807},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.30917322635650635},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16455957293510437},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.16347098350524902},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11200371384620667},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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":2,"locations":[{"id":"doi:10.1137/20m1382957","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1382957","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:lirias2repo.kuleuven.be:20.500.12942/721695","is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/721695","pdf_url":null,"source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Siam Journal On Scientific Computing, vol. 44 (5), (B1282-B1311)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8759208888","display_name":null,"funder_award_id":"C14/15/055","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"},{"id":"https://openalex.org/G8805711408","display_name":"Loewner and Carleman Linearizations of eigenvector nonlinearities","funder_award_id":"G0B7818N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W94540498","https://openalex.org/W125887917","https://openalex.org/W130191466","https://openalex.org/W1425400007","https://openalex.org/W1559907478","https://openalex.org/W1563813142","https://openalex.org/W1584657480","https://openalex.org/W1602383637","https://openalex.org/W1745960851","https://openalex.org/W1968376936","https://openalex.org/W1977553864","https://openalex.org/W1980906180","https://openalex.org/W1987397719","https://openalex.org/W2002563415","https://openalex.org/W2018419001","https://openalex.org/W2032247658","https://openalex.org/W2050321031","https://openalex.org/W2050409837","https://openalex.org/W2064959134","https://openalex.org/W2078465266","https://openalex.org/W2079598795","https://openalex.org/W2083206954","https://openalex.org/W2089210221","https://openalex.org/W2097969980","https://openalex.org/W2117762537","https://openalex.org/W2122137889","https://openalex.org/W2128601600","https://openalex.org/W2132740649","https://openalex.org/W2136849011","https://openalex.org/W2163068304","https://openalex.org/W2232944345","https://openalex.org/W2234513784","https://openalex.org/W2298381282","https://openalex.org/W2482551487","https://openalex.org/W2560261741","https://openalex.org/W2578554495","https://openalex.org/W2619996059","https://openalex.org/W2784944510","https://openalex.org/W2792097469","https://openalex.org/W2908348713","https://openalex.org/W3098594427","https://openalex.org/W3104368183","https://openalex.org/W3104695736","https://openalex.org/W3131496751","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W2158582466","https://openalex.org/W599820626","https://openalex.org/W2008452721","https://openalex.org/W2383541900","https://openalex.org/W2351450261","https://openalex.org/W2004427012","https://openalex.org/W2058794676","https://openalex.org/W2363724863","https://openalex.org/W2349866068","https://openalex.org/W4252404462"],"abstract_inverted_index":{"The":[0],"discretization":[1],"of":[2,37,49,62,69,77,88,101,111,126,171],"boundary":[3,18],"integral":[4],"equations":[5],"for":[6,66,115],"the":[7,24,46,55,74,78,98,127,139,154],"scalar":[8],"Helmholtz":[9],"equation":[10],"leads":[11,83],"to":[12,84,151],"large":[13],"dense":[14],"linear":[15],"systems.":[16,41],"Efficient":[17],"element":[19],"methods":[20],"(BEMs),":[21],"such":[22,164],"as":[23,163,169],"fast":[25],"multipole":[26],"method":[27],"and":[28,92,162],"$\\mathcal{H}\\text{-matrix}$":[29,103],"based":[30,71],"methods,":[31],"focus":[32],"on":[33,72],"structured":[34],"low-rank":[35],"approximations":[36],"subblocks":[38,51],"in":[39,138],"these":[40,50],"It":[42],"is":[43],"known":[44,75],"that":[45,97,145],"(numerical)":[47],"ranks":[48],"increase":[52],"linearly":[53],"with":[54,134],"wavenumber.":[56],"We":[57,95,121,143],"explore":[58],"a":[59,67,85,89,108],"data-sparse":[60,147],"representation":[61,128,148],"BEM":[63,156],"matrices":[64],"valid":[65],"range":[68],"frequencies,":[70],"extracting":[73],"phase":[76],"Green's":[79],"function.":[80],"Algebraically,":[81],"this":[82,102],"Hadamard":[86],"product":[87],"frequency":[90,99,112,141],"matrix":[91,157],"an":[93,123,172],"$\\mathcal{H}\\text{-matrix}$.":[94],"show":[96,144],"dependence":[100],"can":[104],"be":[105,167],"determined":[106],"using":[107],"small":[109],"number":[110],"samples,":[113],"even":[114],"geometrically":[116],"complex":[117],"three-dimensional":[118],"scattering":[119],"obstacles.":[120],"describe":[122],"efficient":[124,173],"construction":[125],"by":[129],"combining":[130],"adaptive":[131,135],"cross":[132],"approximation":[133,137],"rational":[136],"continuous":[140],"dimension.":[142],"our":[146],"allows":[149],"one":[150],"efficiently":[152],"sample":[153],"full":[155],"at":[158],"any":[159],"given":[160],"frequency,":[161],"it":[165],"may":[166],"useful":[168],"part":[170],"sweeping":[174],"routine.":[175]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}