{"id":"https://openalex.org/W1967665598","doi":"https://doi.org/10.1137/060651525","title":"A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems","display_name":"A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1967665598","doi":"https://doi.org/10.1137/060651525","mag":"1967665598"},"language":"en","primary_location":{"id":"doi:10.1137/060651525","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060651525","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"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/146653","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022994939","display_name":"Daan Huybrechs","orcid":"https://orcid.org/0000-0002-0536-2647"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Daan Huybrechs","raw_affiliation_strings":["Katholieke Universiteit \u00adLeuven"],"affiliations":[{"raw_affiliation_string":"Katholieke Universiteit \u00adLeuven","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062993526","display_name":"Stefan Vandewalle","orcid":"https://orcid.org/0000-0002-8988-2374"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Stefan Vandewalle","raw_affiliation_strings":["Katholieke Universiteit \u00adLeuven"],"affiliations":[{"raw_affiliation_string":"Katholieke Universiteit \u00adLeuven","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022994939"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":5.7989,"has_fulltext":false,"cited_by_count":121,"citation_normalized_percentile":{"value":0.96446028,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"29","issue":"6","first_page":"2305","last_page":"2328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":1.0,"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":1.0,"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":0.9997000098228455,"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/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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/discretization","display_name":"Discretization","score":0.8535095453262329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7794924974441528},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.6442327499389648},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.617951512336731},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.6134771704673767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5953491926193237},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.4780724048614502},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4680459499359131},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4497784972190857},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4209703207015991},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4203549027442932},{"id":"https://openalex.org/keywords/nystr\u00f6m-method","display_name":"Nystr\u00f6m method","score":0.419886976480484},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.41043639183044434},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39854633808135986},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2803071141242981},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09345805644989014}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8535095453262329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7794924974441528},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6442327499389648},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.617951512336731},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.6134771704673767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5953491926193237},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.4780724048614502},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4680459499359131},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4497784972190857},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4209703207015991},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4203549027442932},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.419886976480484},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.41043639183044434},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39854633808135986},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2803071141242981},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09345805644989014},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/060651525","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060651525","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":"pmh:oai:CiteSeerX.psu:10.1.1.489.6595","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.489.6595","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://lirias.kuleuven.be/bitstream/123456789/146653/1/sisc65152.pdf","raw_type":"text"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/146653","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/146653","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, vol. 29 (6), Art.No. 6, (2305-2328)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/146653","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/146653","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, vol. 29 (6), Art.No. 6, (2305-2328)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W111373153","https://openalex.org/W177735991","https://openalex.org/W1489096603","https://openalex.org/W1517670975","https://openalex.org/W1549451790","https://openalex.org/W1584610719","https://openalex.org/W1966478028","https://openalex.org/W1967442562","https://openalex.org/W1987397719","https://openalex.org/W1987724179","https://openalex.org/W1992452741","https://openalex.org/W1995684845","https://openalex.org/W1996160600","https://openalex.org/W2012813672","https://openalex.org/W2015692096","https://openalex.org/W2019984076","https://openalex.org/W2026104159","https://openalex.org/W2032298981","https://openalex.org/W2044380739","https://openalex.org/W2047274778","https://openalex.org/W2056171461","https://openalex.org/W2058078230","https://openalex.org/W2073732659","https://openalex.org/W2081814612","https://openalex.org/W2083206954","https://openalex.org/W2098556820","https://openalex.org/W2110168172","https://openalex.org/W2120571024","https://openalex.org/W2130865909","https://openalex.org/W2133742727","https://openalex.org/W2147983461","https://openalex.org/W2160056969","https://openalex.org/W2169164332","https://openalex.org/W2313299119","https://openalex.org/W2314359380","https://openalex.org/W2801179766","https://openalex.org/W3035315303","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1963845699","https://openalex.org/W2061461757","https://openalex.org/W2389601816","https://openalex.org/W2069733545","https://openalex.org/W2024862778","https://openalex.org/W2942108226","https://openalex.org/W2748928884","https://openalex.org/W4245244288","https://openalex.org/W2049626378","https://openalex.org/W3146409588"],"abstract_inverted_index":{"Abstract.":[0],"We":[1,49],"consider":[2],"two-dimensional":[3],"scattering":[4,17,24],"problems,":[5],"formulated":[6],"as":[7],"an":[8],"integral":[9,45],"equa-tion":[10],"defined":[11],"on":[12],"the":[13,16,39,44,60,64,72,119,127,130,144,147,157],"boundary":[14,34,52],"of":[15,22,30,43,63,74,129,146,159],"obstacle.":[18],"The":[19,69,137],"oscillatory":[20,107,120],"nature":[21],"high-frequency":[23],"problems":[25,142],"necessitates":[26],"a":[27,51,110,114,152],"large":[28],"number":[29],"unknowns":[31],"in":[32,91,156],"classical":[33],"element":[35,53],"methods.":[36],"In":[37],"addition,":[38],"corresponding":[40],"discretization":[41,116,139],"matrix":[42,117],"equation":[46],"is":[47,94],"dense.":[48],"formulate":[50],"method":[54,70,100],"with":[55,80,101,134],"basis":[56],"functions":[57],"that":[58,95,126],"incorporate":[59],"asymptotic":[61,75],"behavior":[62],"solution":[65,131,148],"at":[66,77],"high":[67,78],"frequencies.":[68,89],"exhibits":[71],"effectiveness":[73],"methods":[76],"frequencies":[79],"only":[81],"few":[82],"unknowns,":[83],"but":[84],"retains":[85],"accuracy":[86,128],"for":[87,106,118,154],"lower":[88],"New":[90],"our":[92],"approach":[93],"we":[96,112],"combine":[97],"this":[98],"hybrid":[99],"very":[102],"effective":[103],"quadrature":[104],"rules":[105],"integrals.":[108],"As":[109],"result,":[111],"obtain":[113],"sparse":[115,138],"problem.":[121],"Moreover,":[122],"numerical":[123],"experiments":[124],"indicate":[125],"actually":[132],"increases":[133],"increasing":[135],"frequency.":[136],"applies":[140],"to":[141],"where":[143],"phase":[145],"can":[149],"be":[150],"predicted":[151],"priori,":[153],"example":[155],"case":[158],"smooth":[160],"and":[161],"convex":[162],"scatterers.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
