{"id":"https://openalex.org/W1979047657","doi":"https://doi.org/10.1137/0916026","title":"Preconditioning Nonsymmetric and Indefinite Capacitance Matrix Problems in Domain Imbedding","display_name":"Preconditioning Nonsymmetric and Indefinite Capacitance Matrix Problems in Domain Imbedding","publication_year":1995,"publication_date":"1995-03-01","ids":{"openalex":"https://openalex.org/W1979047657","doi":"https://doi.org/10.1137/0916026","mag":"1979047657"},"language":"en","primary_location":{"id":"doi:10.1137/0916026","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0916026","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114032555","display_name":"W\u0142odzimierz Proskurowski","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W\u0142odzimierz Proskurowski","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5027636165","display_name":"Panayot S. Vassilevski","orcid":"https://orcid.org/0000-0002-5294-7242"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Panayot S. Vassilevski","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5283,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61404277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"2","first_page":"414","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9991000294685364,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8001645803451538},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6571233868598938},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.6089352369308472},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.531019389629364},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5112490653991699},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49202296137809753},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.47040730714797974},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.45351120829582214},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4396735727787018},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20639389753341675},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11926063895225525}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8001645803451538},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6571233868598938},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.6089352369308472},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.531019389629364},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5112490653991699},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49202296137809753},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.47040730714797974},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.45351120829582214},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4396735727787018},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20639389753341675},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11926063895225525},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/0916026","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0916026","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:10.1.1.538.5485","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.538.5485","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-rcf.usc.edu/~proskuro/publications/PrVas95.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1971031985","https://openalex.org/W1973656429","https://openalex.org/W1975357829","https://openalex.org/W1982458994","https://openalex.org/W1986390477","https://openalex.org/W2006850990","https://openalex.org/W2017934981","https://openalex.org/W2020987710","https://openalex.org/W2022174628","https://openalex.org/W2023603353","https://openalex.org/W2024949119","https://openalex.org/W2028192944","https://openalex.org/W2028724686","https://openalex.org/W2032397982","https://openalex.org/W2033653234","https://openalex.org/W2041581089","https://openalex.org/W2061323261","https://openalex.org/W2062959297","https://openalex.org/W2068395392","https://openalex.org/W2072835905","https://openalex.org/W2075609158","https://openalex.org/W2077228449","https://openalex.org/W2083185380","https://openalex.org/W2140153041","https://openalex.org/W2161279490","https://openalex.org/W3147515309","https://openalex.org/W4240495313","https://openalex.org/W4300509647"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W1493245244","https://openalex.org/W155705146","https://openalex.org/W2115451617","https://openalex.org/W3012733398"],"abstract_inverted_index":{"Based":[0],"on":[1,23,57,65],"the":[2,5,13,24,41,54,73,84,90,97],"duality":[3],"between":[4],"interface":[6],"domain":[7,20],"decomposition":[8],"(or":[9,16],"DD)":[10],"methods":[11,18],"and":[12,22,30,64,93],"capacitance":[14,85],"matrix":[15,86],"CM)":[17],"in":[19],"imbedding,":[21],"existing":[25],"results":[26],"for":[27,40,83],"preconditioning":[28,47,74],"nonsymmetric":[29],"indefinite":[31],"finite":[32],"element":[33],"elliptic":[34,98],"problems,":[35],"preconditioners":[36,82],"of":[37,53,72,96],"optimal":[38],"order":[39],"CM":[42],"problems":[43],"are":[44],"constructed.":[45],"The":[46,69,100],"technique":[48],"explores":[49],"two-level":[50],"hierarchical":[51],"discretization":[52],"imbedded":[55],"problem":[56],"a":[58,66],"coarse":[59],"grid":[60],"(of":[61],"fixed":[62],"size)":[63],"fine":[67],"grid.":[68],"major":[70],"part":[71,95],"then":[75],"is":[76,102],"reduced":[77],"to":[78,89],"solving":[79],"systems":[80],"with":[81,104],"that":[87],"corresponds":[88],"principal":[91],"symmetric":[92],"coercive":[94],"operator.":[99],"theory":[101],"illustrated":[103],"numerical":[105],"experiments.":[106]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
