{"id":"https://openalex.org/W3088997176","doi":"https://doi.org/10.1137/20m136904x","title":"Construction of Artificial Point Sources for a Linear Wave Equation in Unknown Medium","display_name":"Construction of Artificial Point Sources for a Linear Wave Equation in Unknown Medium","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3088997176","doi":"https://doi.org/10.1137/20m136904x","mag":"3088997176"},"language":"en","primary_location":{"id":"doi:10.1137/20m136904x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m136904x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","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/2009.10371","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010732491","display_name":"Anna Kirpichnikova","orcid":"https://orcid.org/0000-0001-5153-7375"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anna Kirpichnikova","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006581999","display_name":"Jussi Korpela","orcid":"https://orcid.org/0000-0002-5348-2301"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jussi Korpela","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052627284","display_name":"Matti Lassas","orcid":"https://orcid.org/0000-0003-2043-3156"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matti J. Lassas","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2043-3156","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044437642","display_name":"Lauri Oksanen","orcid":"https://orcid.org/0000-0002-3228-7507"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lauri Oksanen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"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":0.07507262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"5","first_page":"3737","last_page":"3761"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10662","display_name":"Ultrasonics and Acoustic Wave Propagation","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.633429765701294},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6295046210289001},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.5830081701278687},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.5648180246353149},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.561909556388855},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5326617956161499},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.5016133785247803},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4716740548610687},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.4215278923511505},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4133342504501343},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36947327852249146},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23120629787445068}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.633429765701294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6295046210289001},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5830081701278687},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.5648180246353149},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.561909556388855},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5326617956161499},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5016133785247803},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4716740548610687},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4215278923511505},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4133342504501343},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36947327852249146},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23120629787445068},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/20m136904x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m136904x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2009.10371","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.10371","pdf_url":"https://arxiv.org/pdf/2009.10371","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:3088997176","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2009.10371","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":"pmh:oai:helda.helsinki.fi:10138/337886","is_oa":true,"landing_page_url":"http://hdl.handle.net/10138/337886","pdf_url":null,"source":{"id":"https://openalex.org/S4210213322","display_name":"Ty\u00f6v\u00e4entutkimus Vuosikirja","issn_l":"0784-1272","issn":["0784-1272","1459-7780"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.2009.10371","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2009.10371","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2009.10371","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.10371","pdf_url":"https://arxiv.org/pdf/2009.10371","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/G1783532789","display_name":null,"funder_award_id":"284715","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G2869983242","display_name":null,"funder_award_id":"273979","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"},{"id":"https://openalex.org/G622301528","display_name":null,"funder_award_id":"EP/D065711/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8103704286","display_name":null,"funder_award_id":"312110","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3088997176.pdf","grobid_xml":"https://content.openalex.org/works/W3088997176.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1507622657","https://openalex.org/W1532154335","https://openalex.org/W1602064551","https://openalex.org/W1912452094","https://openalex.org/W1986455671","https://openalex.org/W1991866677","https://openalex.org/W1994237500","https://openalex.org/W1997746838","https://openalex.org/W1999760688","https://openalex.org/W2005681075","https://openalex.org/W2008051631","https://openalex.org/W2009548095","https://openalex.org/W2012752452","https://openalex.org/W2018008937","https://openalex.org/W2031642653","https://openalex.org/W2034734097","https://openalex.org/W2034926269","https://openalex.org/W2045301133","https://openalex.org/W2047833390","https://openalex.org/W2061544108","https://openalex.org/W2065773257","https://openalex.org/W2070102296","https://openalex.org/W2070295583","https://openalex.org/W2077370088","https://openalex.org/W2086370808","https://openalex.org/W2093361576","https://openalex.org/W2107138442","https://openalex.org/W2121928309","https://openalex.org/W2122807833","https://openalex.org/W2151283225","https://openalex.org/W2162473564","https://openalex.org/W2327016185","https://openalex.org/W2585925965","https://openalex.org/W2602256626","https://openalex.org/W2610517367","https://openalex.org/W2623908397","https://openalex.org/W2791570899","https://openalex.org/W2921580763","https://openalex.org/W2949067804","https://openalex.org/W2963238585","https://openalex.org/W2963316791","https://openalex.org/W2964318119","https://openalex.org/W2972320576","https://openalex.org/W2982541967","https://openalex.org/W2982657742","https://openalex.org/W2996596593","https://openalex.org/W3038830718"],"related_works":["https://openalex.org/W1984545040","https://openalex.org/W3145837649","https://openalex.org/W3167971647","https://openalex.org/W2074992093","https://openalex.org/W97330223","https://openalex.org/W2027548777","https://openalex.org/W2900982827","https://openalex.org/W1967072586","https://openalex.org/W1603058674","https://openalex.org/W2561645728","https://openalex.org/W3014172831","https://openalex.org/W2942241505","https://openalex.org/W24310807","https://openalex.org/W2988237885","https://openalex.org/W3106847967","https://openalex.org/W2099673287","https://openalex.org/W2499869039","https://openalex.org/W2100831338","https://openalex.org/W1978588812","https://openalex.org/W2625642053"],"abstract_inverted_index":{"We":[0,21,115],"study":[1],"the":[2,24,27,37,45,49,52,70,77,81,99,104,110,113,117,124,127,131],"wave":[3,28,100],"equation":[4,29],"on":[5,13,48],"a":[6,14,58,67,85],"bounded":[7],"domain":[8],"of":[9,26,54,60,80,98,112,126],"$\\mathbb":[10],"R^m$":[11],"and":[12,122],"compact":[15],"Riemannian":[16],"manifold":[17],"$M$":[18],"with":[19],"boundary.":[20,50],"assume":[22],"that":[23,33,42,65],"coefficients":[25],"are":[30,35,90],"unknown":[31],"but":[32],"we":[34,56],"given":[36],"hyperbolic":[38],"Neumann-to-Dirichlet":[39],"map":[40],"$\u039b$":[41,55],"corresponds":[43],"to":[44,74,84,109],"physical":[46],"measurements":[47],"Using":[51],"knowledge":[53],"construct":[57],"sequence":[59],"Neumann":[61],"boundary":[62],"values":[63],"so":[64],"at":[66],"time":[68,78],"$T$":[69],"corresponding":[71],"waves":[72,82,89,128],"converge":[73,83],"zero":[75],"while":[76],"derivative":[79],"delta":[86],"distribution.":[87],"Such":[88],"called":[91],"an":[92],"artificial":[93],"point":[94],"source.":[95],"The":[96],"convergence":[97],"takes":[101],"place":[102],"in":[103,130],"function":[105],"spaces":[106],"naturally":[107],"related":[108],"energy":[111],"wave.":[114],"apply":[116],"results":[118],"for":[119],"inverse":[120],"problems":[121],"demonstrate":[123],"focusing":[125],"numerically":[129],"1-dimensional":[132],"case.":[133]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}