{"id":"https://openalex.org/W4391175969","doi":"https://doi.org/10.1515/cmam-2023-0076","title":"Simultaneous Reconstruction of Speed of Sound and Nonlinearity Parameter in a Paraxial Model of Vibro-Acoustography in Frequency Domain","display_name":"Simultaneous Reconstruction of Speed of Sound and Nonlinearity Parameter in a Paraxial Model of Vibro-Acoustography in Frequency Domain","publication_year":2024,"publication_date":"2024-01-24","ids":{"openalex":"https://openalex.org/W4391175969","doi":"https://doi.org/10.1515/cmam-2023-0076"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2023-0076","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2023-0076","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2023-0076/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2023-0076/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011058927","display_name":"Barbara Kaltenbacher","orcid":"https://orcid.org/0000-0002-3295-6977"},"institutions":[{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Barbara Kaltenbacher","raw_affiliation_strings":["Department of Mathematics , University of Klagenfurt , Klagenfurt , Austria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Klagenfurt , Klagenfurt , Austria","institution_ids":["https://openalex.org/I4210166741"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047343842","display_name":"Teresa Rauscher","orcid":"https://orcid.org/0000-0003-3056-7086"},"institutions":[{"id":"https://openalex.org/I4210166741","display_name":"University of Klagenfurt","ror":"https://ror.org/05q9m0937","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210166741"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Teresa Rauscher","raw_affiliation_strings":["Department of Mathematics , University of Klagenfurt , Klagenfurt , Austria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Klagenfurt , Klagenfurt , Austria","institution_ids":["https://openalex.org/I4210166741"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011058927"],"corresponding_institution_ids":["https://openalex.org/I4210166741"],"apc_list":null,"apc_paid":null,"fwci":1.7486,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7710626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"24","issue":"2","first_page":"421","last_page":"438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9994999766349792,"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":0.9994999766349792,"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/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9973999857902527,"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/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/paraxial-approximation","display_name":"Paraxial approximation","score":0.711013674736023},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6438455581665039},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.6112661957740784},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4517934322357178},{"id":"https://openalex.org/keywords/speed-of-sound","display_name":"Speed of sound","score":0.43921053409576416},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.4143086373806},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3939586877822876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36126795411109924},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3083425760269165},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.10939931869506836}],"concepts":[{"id":"https://openalex.org/C56034020","wikidata":"https://www.wikidata.org/wiki/Q1071734","display_name":"Paraxial approximation","level":3,"score":0.711013674736023},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6438455581665039},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.6112661957740784},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4517934322357178},{"id":"https://openalex.org/C200351514","wikidata":"https://www.wikidata.org/wiki/Q124003","display_name":"Speed of sound","level":2,"score":0.43921053409576416},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.4143086373806},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3939586877822876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36126795411109924},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3083425760269165},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10939931869506836},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"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":1,"locations":[{"id":"doi:10.1515/cmam-2023-0076","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2023-0076","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2023-0076/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1515/cmam-2023-0076","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2023-0076","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2023-0076/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2447788411","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3242072850","display_name":null,"funder_award_id":"DOC78","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G6681285677","display_name":null,"funder_award_id":"10.13039/501100002428","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8257109867","display_name":null,"funder_award_id":"501100002428","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391175969.pdf","grobid_xml":"https://content.openalex.org/works/W4391175969.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1523113578","https://openalex.org/W1976807952","https://openalex.org/W2025994577","https://openalex.org/W2046973776","https://openalex.org/W2068109231","https://openalex.org/W2104060889","https://openalex.org/W2105910098","https://openalex.org/W2150882161","https://openalex.org/W2943167654","https://openalex.org/W3038925466","https://openalex.org/W3127167730","https://openalex.org/W3130104871","https://openalex.org/W3202404937","https://openalex.org/W4214614568","https://openalex.org/W4221044685","https://openalex.org/W4384834067","https://openalex.org/W4385725022","https://openalex.org/W4386290699","https://openalex.org/W4388262403"],"related_works":["https://openalex.org/W4253455536","https://openalex.org/W2786332968","https://openalex.org/W3113041729","https://openalex.org/W4254714140","https://openalex.org/W2376319826","https://openalex.org/W1987177187","https://openalex.org/W2898993632","https://openalex.org/W2351089078","https://openalex.org/W2986287776","https://openalex.org/W2800642978"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,60],"paper,":[3],"we":[4,66,87],"consider":[5,88],"the":[6,44,53,72,80,84,93],"inverse":[7,61,94],"problem":[8,95],"of":[9,20,34,38,55,71,79,92,99],"vibro-acoustography,":[10],"a":[11,32],"technique":[12],"for":[13,58,102],"enhancing":[14],"ultrasound":[15],"imaging":[16],"by":[17],"making":[18],"use":[19,54],"nonlinear":[21,49],"effects.":[22],"It":[23],"amounts":[24],"to":[25,76],"determining":[26],"two":[27,39,77],"spatially":[28],"variable":[29],"coefficients":[30],"in":[31],"system":[33],"PDEs":[35],"describing":[36],"propagation":[37],"directed":[40],"sound":[41],"beams":[42],"and":[43,69,96],"wave":[45],"resulting":[46],"from":[47],"their":[48],"interaction.":[50],"To":[51],"justify":[52],"Newton\u2019s":[56,100],"method":[57,101],"solving":[59],"problem,":[62],"on":[63,83],"one":[64],"hand,":[65,86],"verify":[67],"well-definedness":[68],"differentiability":[70],"forward":[73],"operator":[74],"corresponding":[75],"versions":[78],"PDE":[81],"model;":[82],"other":[85],"an":[89],"all-at-once":[90],"formulation":[91],"prove":[97],"convergence":[98],"its":[103],"solution.":[104]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}