{"id":"https://openalex.org/W2567486542","doi":"https://doi.org/10.14529/jsfi160305","title":"Spectral Domain Decomposition Using Local Fourier Basis: Application to Ultrasound Simulation on a Cluster of GPUs","display_name":"Spectral Domain Decomposition Using Local Fourier Basis: Application to Ultrasound Simulation on a Cluster of GPUs","publication_year":2016,"publication_date":"2016-11-01","ids":{"openalex":"https://openalex.org/W2567486542","doi":"https://doi.org/10.14529/jsfi160305","mag":"2567486542"},"language":"en","primary_location":{"id":"doi:10.14529/jsfi160305","is_oa":true,"landing_page_url":"https://doi.org/10.14529/jsfi160305","pdf_url":"https://superfri.org/superfri/article/download/108/199","source":{"id":"https://openalex.org/S4210177204","display_name":"Supercomputing Frontiers and Innovations","issn_l":"2313-8734","issn":["2313-8734","2409-6008"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310312680","host_organization_name":"Publishing center of the South Ural State University","host_organization_lineage":["https://openalex.org/P4310312680"],"host_organization_lineage_names":["Publishing center of the South Ural State University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Supercomputing Frontiers and Innovations","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://superfri.org/superfri/article/download/108/199","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059879181","display_name":"Ji\u0159\u00ed Jaro\u0161","orcid":"https://orcid.org/0000-0002-0087-8804"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jiri Jaros","raw_affiliation_strings":["Faculty of Information Technology\r\nBrno University of Technology, Brno"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology\r\nBrno University of Technology, Brno","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084354962","display_name":"Filip Vaverka","orcid":"https://orcid.org/0000-0002-7960-5752"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Filip Vaverka","raw_affiliation_strings":["Faculty of Information Technology\r\nBrno University of Technology, Brno"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology\r\nBrno University of Technology, Brno","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045664151","display_name":"Bradley E. Treeby","orcid":"https://orcid.org/0000-0001-7782-011X"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bradley E. Treeby","raw_affiliation_strings":["Department of Medical Physics and Bioengineering\r\nUniversity College London, London"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Physics and Bioengineering\r\nUniversity College London, London","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9914,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86632162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"3","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9900000095367432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.7386701703071594},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.7359128594398499},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6916663646697998},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6722152829170227},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5859072804450989},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5770541429519653},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.570440948009491},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4687773287296295},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.45647886395454407},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.4552118480205536},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.44145268201828003},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.43028199672698975},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.425135999917984},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.42420536279678345},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.4229468107223511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1404080092906952},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1394079327583313},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.10629075765609741},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10008350014686584},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.09651437401771545}],"concepts":[{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.7386701703071594},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.7359128594398499},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6916663646697998},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6722152829170227},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5859072804450989},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5770541429519653},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.570440948009491},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4687773287296295},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45647886395454407},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.4552118480205536},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.44145268201828003},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.43028199672698975},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.425135999917984},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.42420536279678345},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.4229468107223511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1404080092906952},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1394079327583313},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.10629075765609741},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10008350014686584},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.09651437401771545},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.14529/jsfi160305","is_oa":true,"landing_page_url":"https://doi.org/10.14529/jsfi160305","pdf_url":"https://superfri.org/superfri/article/download/108/199","source":{"id":"https://openalex.org/S4210177204","display_name":"Supercomputing Frontiers and Innovations","issn_l":"2313-8734","issn":["2313-8734","2409-6008"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310312680","host_organization_name":"Publishing center of the South Ural State University","host_organization_lineage":["https://openalex.org/P4310312680"],"host_organization_lineage_names":["Publishing center of the South Ural State University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Supercomputing Frontiers and Innovations","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.14529/jsfi160305","is_oa":true,"landing_page_url":"https://doi.org/10.14529/jsfi160305","pdf_url":"https://superfri.org/superfri/article/download/108/199","source":{"id":"https://openalex.org/S4210177204","display_name":"Supercomputing Frontiers and Innovations","issn_l":"2313-8734","issn":["2313-8734","2409-6008"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310312680","host_organization_name":"Publishing center of the South Ural State University","host_organization_lineage":["https://openalex.org/P4310312680"],"host_organization_lineage_names":["Publishing center of the South Ural State University"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Supercomputing Frontiers and Innovations","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1272383281","https://openalex.org/W1532296632","https://openalex.org/W1805381866","https://openalex.org/W1886087187","https://openalex.org/W1973156459","https://openalex.org/W1973908097","https://openalex.org/W1988285441","https://openalex.org/W1991850042","https://openalex.org/W1994148398","https://openalex.org/W2002760031","https://openalex.org/W2008720207","https://openalex.org/W2009154929","https://openalex.org/W2036740708","https://openalex.org/W2037361042","https://openalex.org/W2045280044","https://openalex.org/W2045974403","https://openalex.org/W2087458881","https://openalex.org/W2089552047","https://openalex.org/W2096845033","https://openalex.org/W2102182691","https://openalex.org/W2104083059","https://openalex.org/W2104377141","https://openalex.org/W2130793660","https://openalex.org/W2133534501","https://openalex.org/W2134579113","https://openalex.org/W2140980608","https://openalex.org/W2146783443","https://openalex.org/W2289053013","https://openalex.org/W3103952756"],"related_works":["https://openalex.org/W2056521221","https://openalex.org/W2110451206","https://openalex.org/W2138690674","https://openalex.org/W2164036348","https://openalex.org/W2495280024","https://openalex.org/W1994505394","https://openalex.org/W56999333","https://openalex.org/W2098788135","https://openalex.org/W2155316264","https://openalex.org/W207285100"],"abstract_inverted_index":{"The":[0,40,67],"simulation":[1,109,118],"of":[2,13,27,71,84,100,114,123],"ultrasound":[3],"wave":[4],"propagation":[5],"through":[6],"biological":[7],"tissue":[8],"has":[9],"a":[10,30,97,112,121],"wide":[11],"range":[12],"practical":[14],"applications.":[15],"However,":[16],"large":[17],"grid":[18,65,98],"sizes":[19],"are":[20],"generally":[21],"needed":[22],"to":[23,33,55,58,92],"capture":[24],"the":[25,35,82,108,117],"phenomena":[26],"interest.":[28],"Here,":[29],"novel":[31],"approach":[32],"reduce":[34],"computational":[36],"complexity":[37],"is":[38,79],"presented.":[39],"model":[41],"uses":[42],"an":[43],"accelerated":[44],"k-space":[45],"pseudospectral":[46],"method":[47],"which":[48],"enables":[49],"more":[50,62],"than":[51,63],"one":[52],"hundred":[53],"GPUs":[54],"be":[56],"exploited":[57],"solve":[59],"problems":[60],"with":[61],"3*10^9":[64],"points.":[66],"classic":[68],"communication":[69],"bottleneck":[70],"Fourier":[72,89],"spectral":[73],"methods,":[74],"all-to-all":[75],"global":[76,93],"data":[77],"exchange,":[78],"overcome":[80],"by":[81,111,120],"application":[83],"domain":[85,94],"decomposition":[86],"using":[87],"local":[88],"basis.":[90],"Compared":[91],"decomposition,":[95],"for":[96],"size":[99],"1536":[101],"x":[102,104],"1024":[103],"2048,":[105],"this":[106],"reduces":[107],"time":[110],"factor":[113,122],"7.5":[115],"and":[116],"cost":[119],"3.8.":[124]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-19T21:40:30.786675","created_date":"2017-01-06T00:00:00"}