{"id":"https://openalex.org/W4416590829","doi":"https://doi.org/10.1090/mcom/4164","title":"Multi-patch/multiple-scattering frequency-time hybrid solver for interior and exterior wave equation problems","display_name":"Multi-patch/multiple-scattering frequency-time hybrid solver for interior and exterior wave equation problems","publication_year":2025,"publication_date":"2025-11-24","ids":{"openalex":"https://openalex.org/W4416590829","doi":"https://doi.org/10.1090/mcom/4164"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4164","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4164","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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":null,"display_name":"Shuai Pan","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Pan","raw_affiliation_strings":["School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, People\u2019s Republic of China","School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, People's Republic of China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051621625","display_name":"Gang Bao","orcid":"https://orcid.org/0000-0001-5501-554X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Bao","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, People\u2019s Republic of China","School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, People's Republic of China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100787356","display_name":"Yin Tao","orcid":"https://orcid.org/0009-0003-2982-1371"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Yin","raw_affiliation_strings":["State Key Laboratory of Mathematical Sciences and Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People\u2019s Republic of China","State Key Laboratory of Mathematical Sciences and Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences and Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210120485"]},{"raw_affiliation_string":"State Key Laboratory of Mathematical Sciences and Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China","institution_ids":["https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044361297","display_name":"Oscar P. Bruno","orcid":"https://orcid.org/0000-0001-8369-3014"},"institutions":[{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oscar Bruno","raw_affiliation_strings":["Department of Computing & Mathematical Sciences, California Institute of Technology, 1200 East California Blvd., California 91125"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing & Mathematical Sciences, California Institute of Technology, 1200 East California Blvd., California 91125","institution_ids":["https://openalex.org/I73544541"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5711,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69272023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"95","issue":"362","first_page":"2817","last_page":"2848"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.536899983882904,"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":0.536899983882904,"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":0.2939999997615814,"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":0.06369999796152115,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.8083999752998352},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7135999798774719},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.527400016784668},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5019999742507935},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.474700003862381},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4537000060081482},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4390000104904175},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4230000078678131},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4099000096321106}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.8083999752998352},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7878000140190125},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7135999798774719},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.527400016784668},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5019999742507935},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49160000681877136},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.474700003862381},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4537000060081482},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4390000104904175},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4230000078678131},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4099000096321106},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.396699994802475},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.39649999141693115},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.3961000144481659},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3695000112056732},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.3458000123500824},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.33320000767707825},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30720001459121704},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3012999892234802},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.2879999876022339},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.2808000147342682},{"id":"https://openalex.org/C102205669","wikidata":"https://www.wikidata.org/wiki/Q191690","display_name":"Partition of unity","level":3,"score":0.2718000113964081},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.265500009059906},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/4164","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4164","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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":28,"referenced_works":["https://openalex.org/W1539259863","https://openalex.org/W1965698827","https://openalex.org/W1994930033","https://openalex.org/W2020637690","https://openalex.org/W2025124289","https://openalex.org/W2038191139","https://openalex.org/W2049467895","https://openalex.org/W2080219236","https://openalex.org/W2087828859","https://openalex.org/W2093117377","https://openalex.org/W2094745757","https://openalex.org/W2195069865","https://openalex.org/W2220597786","https://openalex.org/W2319419200","https://openalex.org/W2922010894","https://openalex.org/W2962679619","https://openalex.org/W2975583881","https://openalex.org/W2981271339","https://openalex.org/W3029519836","https://openalex.org/W3093900823","https://openalex.org/W3113258920","https://openalex.org/W3135013903","https://openalex.org/W3159995363","https://openalex.org/W3167222941","https://openalex.org/W3217667451","https://openalex.org/W4255871072","https://openalex.org/W4292027041","https://openalex.org/W4376877850"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,33,49,56,65,78,89,193,202,210,225,260],"new":[4,86,134],"multiple-scattering":[5,43,69],"frequency-time":[6],"hybrid":[7],"(FTH-MS)":[8],"integral":[9,213],"equation":[10,83],"solver":[11],"for":[12,114,151,221,272],"problems":[13,25,30,70,222],"of":[14,35,51,59,68,80,92,116,119,121,149,160,227,231,247,250],"wave":[15,82],"scattering":[16,40,182],"by":[17,99],"obstacles":[18],"in":[19,26,109,129,187],"two":[20,127],"dimensional":[21],"space,":[22],"including":[23],"interior":[24,75],"closed":[27,39],"cavities":[28],"and":[29,101,124,168,240,253],"exterior":[31,223],"to":[32,157,201,224],"set":[34,58],"disconnected":[36],"open":[37,61,154],"or":[38],"obstacles.":[41,229],"The":[42,85,147],"FTH-MS":[44,95,216],"method":[45],"is":[46,199,207],"based":[47],"on":[48],"partition":[50],"the":[52,74,93,130,133,173,232,236],"domain":[53],"boundary":[54,212],"into":[55,77],"user-prescribed":[57],"overlapping":[60],"arcs,":[62,123],"along":[63],"with":[64],"corresponding":[66],"sequence":[67],"that":[71,110,176,206,265],"effectively":[72],"decompose":[73],"problem":[76,205],"series":[79],"open-arc":[81],"subproblems.":[84],"strategy":[87],"provides":[88],"significant":[90],"extension":[91],"original":[94],"algorithm":[96,264],"originally":[97],"presented":[98,220],"Bruno":[100],"Yin":[102],"[Math.":[103],"Comp.":[104],"93":[105],"(2024),":[106],"pp.":[107],"551\u2013587],":[108],"(1)":[111],"By":[112],"allowing":[113],"use":[115,148],"an":[117,188],"arbitrary":[118],"number":[120,226],"component":[122],"not":[125],"just":[126],"as":[128,143,145,257,259],"previous":[131],"contribution,":[132],"approach":[135],"affords":[136],"(1a)":[137],"A":[138],"significantly":[139],"increased":[140],"geometric":[141],"flexibility,":[142],"well":[144,258],"(1b)":[146],"partitions":[150],"which":[152],"each":[153,180,197],"arc":[155],"leads":[156],"small":[158],"numbers":[159],"iterations":[161],"if":[162],"iterative":[163],"linear-algebra":[164],"solvers":[165],"are":[166,177,218],"employed;":[167],"(2)":[169],"It":[170],"facilitates":[171],"parallelization\u2014as":[172],"subproblem":[174],"solutions":[175],"needed":[178],"at":[179],"multiple":[181],"step":[183],"can":[184],"be":[185],"evaluated":[186],"embarrassingly":[189],"parallel":[190],"fashion.":[191],"Utilizing":[192],"suitably-implemented":[194],"Fourier":[195,262],"transformation,":[196],"sub-problem":[198],"reduced":[200],"Helmholtz":[203],"frequency-domain":[204],"tackled":[208],"via":[209],"uniquely-solvable":[211],"equation.":[214],"Similar":[215],"methods":[217],"also":[219],"bounded":[228],"All":[230],"algorithms":[233],"considered":[234],"incorporate":[235],"previously":[237],"introduced":[238],"\u201ctime-windowing":[239],"recentering\u201d":[241],"methodology":[242],"(that":[243],"enables":[244],"both":[245],"treatment":[246],"incident":[248],"signals":[249],"long":[251,254,274],"duration":[252],"time":[255,270],"simulation),":[256],"high-frequency":[261],"transform":[263],"delivers":[266],"numerically":[267],"dispersionless,":[268],"spectrally-accurate":[269],"evolution":[271],"arbitrarily":[273],"times.":[275]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-08T07:41:36.138363","created_date":"2025-11-25T00:00:00"}
