{"id":"https://openalex.org/W4409208683","doi":"https://doi.org/10.1137/24m1642184","title":"A New Interpolated Pseudodifferential Preconditioner for the Helmholtz Equation in Heterogeneous Media","display_name":"A New Interpolated Pseudodifferential Preconditioner for the Helmholtz Equation in Heterogeneous Media","publication_year":2025,"publication_date":"2025-04-07","ids":{"openalex":"https://openalex.org/W4409208683","doi":"https://doi.org/10.1137/24m1642184","pmid":"https://pubmed.ncbi.nlm.nih.gov/41836838"},"language":"en","primary_location":{"id":"doi:10.1137/24m1642184","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1642184","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","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12987680/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024860988","display_name":"Sebasti\u00e1n Acosta","orcid":"https://orcid.org/0000-0003-4935-5534"},"institutions":[{"id":"https://openalex.org/I4210147586","display_name":"Texas Children's Hospital","ror":"https://ror.org/05cz92x43","country_code":"US","type":"funder","lineage":["https://openalex.org/I4210147586"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sebastian Acosta","raw_affiliation_strings":["Department of Pediatrics, Baylor College of Medicine and Texas Children\u2019s Hospital, Houston, TX 77030 USA"],"raw_orcid":"https://orcid.org/0000-0003-4935-5534","affiliations":[{"raw_affiliation_string":"Department of Pediatrics, Baylor College of Medicine and Texas Children\u2019s Hospital, Houston, TX 77030 USA","institution_ids":["https://openalex.org/I4210147586"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061173890","display_name":"Tahsin Khajah","orcid":"https://orcid.org/0000-0002-7587-1586"},"institutions":[{"id":"https://openalex.org/I221716585","display_name":"The University of Texas at Tyler","ror":"https://ror.org/01azfw069","country_code":"US","type":"education","lineage":["https://openalex.org/I221716585"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tahsin Khajah","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Texas at Tyler, Tyler, TX 75799 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Texas at Tyler, Tyler, TX 75799 USA","institution_ids":["https://openalex.org/I221716585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091157003","display_name":"Benjam\u00edn Palacios","orcid":"https://orcid.org/0000-0003-1671-5839"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Benjamin Palacios","raw_affiliation_strings":["Department of Mathematics, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile"],"raw_orcid":"https://orcid.org/0000-0003-1671-5839","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pontificia Universidad Cat\u00f3lica de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I162148367"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024860988"],"corresponding_institution_ids":["https://openalex.org/I4210147586"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07132665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"2","first_page":"A1017","last_page":"A1039"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9994000196456909,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8512407541275024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7333699464797974},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.6804584264755249},{"id":"https://openalex.org/keywords/pseudodifferential-operators","display_name":"Pseudodifferential operators","score":0.6381416320800781},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36485183238983154},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3472331166267395}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8512407541275024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7333699464797974},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.6804584264755249},{"id":"https://openalex.org/C3020036199","wikidata":"https://www.wikidata.org/wiki/Q1644451","display_name":"Pseudodifferential operators","level":2,"score":0.6381416320800781},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36485183238983154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3472331166267395},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/24m1642184","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1642184","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":"pmid:41836838","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41836838","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM journal on scientific computing : a publication of the Society for Industrial and Applied Mathematics","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:12987680","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12987680/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J Sci Comput","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:12987680","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12987680/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J Sci Comput","raw_type":"Text"},"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G2487248985","display_name":null,"funder_award_id":"11220772","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G8084307927","display_name":null,"funder_award_id":"1R15EB035359-01A1","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320309543","display_name":"Texas Children's Hospital","ror":"https://ror.org/05cz92x43"},{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":null},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1483042","https://openalex.org/W4509327","https://openalex.org/W788122021","https://openalex.org/W1510553091","https://openalex.org/W1523113578","https://openalex.org/W1602383637","https://openalex.org/W1798342062","https://openalex.org/W1968753264","https://openalex.org/W1974266361","https://openalex.org/W2011936333","https://openalex.org/W2024381649","https://openalex.org/W2035238652","https://openalex.org/W2044316425","https://openalex.org/W2054516427","https://openalex.org/W2063547741","https://openalex.org/W2095572167","https://openalex.org/W2098102734","https://openalex.org/W2102351359","https://openalex.org/W2107692173","https://openalex.org/W2108572708","https://openalex.org/W2115974833","https://openalex.org/W2141044221","https://openalex.org/W2142094322","https://openalex.org/W2301757686","https://openalex.org/W2493990693","https://openalex.org/W2494085525","https://openalex.org/W2597181770","https://openalex.org/W2924573521","https://openalex.org/W2949834607","https://openalex.org/W2962789715","https://openalex.org/W2963292939","https://openalex.org/W3038403388","https://openalex.org/W3041771677","https://openalex.org/W3104165448","https://openalex.org/W3111536438","https://openalex.org/W3205225843","https://openalex.org/W4234234240","https://openalex.org/W4234451306","https://openalex.org/W4245183679","https://openalex.org/W4253695550","https://openalex.org/W4292188484","https://openalex.org/W4292361795","https://openalex.org/W4300657400","https://openalex.org/W4401034907"],"related_works":["https://openalex.org/W2054094817","https://openalex.org/W3210029216","https://openalex.org/W2887898300","https://openalex.org/W2170150962","https://openalex.org/W4400624219","https://openalex.org/W2044042856","https://openalex.org/W3198981003","https://openalex.org/W2115290354","https://openalex.org/W2517723413","https://openalex.org/W1494372433"],"abstract_inverted_index":{"setting":[0],"even":[1],"when":[2],"the":[3,16,25,32,45,52,63,66,70,75],"original":[4],"problem":[5],"is":[6,22,40,93],"posed":[7],"in":[8],"a":[9,14,89],"multidimensional":[10],"physical":[11],"space.":[12],"As":[13],"result,":[15],"needed":[17],"number":[18],"of":[19,47,65,81],"interpolation":[20,26],"points":[21],"small,":[23],"and":[24,97],"coefficients":[27],"can":[28],"be":[29],"computed":[30],"using":[31,74,88],"fast":[33,53],"Fourier":[34,54],"transform.":[35,55],"The":[36,79],"overall":[37],"computational":[38],"complexity":[39],"log-linear":[41],"with":[42],"respect":[43],"to":[44,61,68],"degrees":[46],"freedom":[48],"as":[49],"inherited":[50],"from":[51],"We":[56],"present":[57],"some":[58],"numerical":[59],"experiments":[60],"illustrate":[62],"effectiveness":[64],"preconditioner":[67],"solve":[69],"discrete":[71],"Helmholtz":[72],"equation":[73],"GMRES":[76],"iterative":[77],"method.":[78],"implementation":[80],"an":[82],"absorbing":[83],"layer":[84],"for":[85],"scattering":[86],"problems":[87],"complex-valued":[90],"wave":[91],"speed":[92],"also":[94,101],"developed.":[95],"Limitations":[96],"possible":[98],"extensions":[99],"are":[100],"discussed.":[102]},"counts_by_year":[],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
