{"id":"https://openalex.org/W2034255415","doi":"https://doi.org/10.1137/s1064827597331813","title":"Multigrid Solution of an Elliptic Boundary-Value Problem with Integral Constraints","display_name":"Multigrid Solution of an Elliptic Boundary-Value Problem with Integral Constraints","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2034255415","doi":"https://doi.org/10.1137/s1064827597331813","mag":"2034255415"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827597331813","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597331813","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/A5002716963","display_name":"Achi Brandt","orcid":"https://orcid.org/0000-0001-5957-8550"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Achi Brandt","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111602084","display_name":"M. Israeli","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Moshe Israeli","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072314269","display_name":"Irad Yavneh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Irad Yavneh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5066172970","display_name":"Andrew F. Siegel","orcid":"https://orcid.org/0000-0002-2144-2591"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew Siegel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.1902131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"21","issue":"4","first_page":"1357","last_page":"1369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13685","display_name":"Material Science and Thermodynamics","score":0.9787999987602234,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/multigrid-method","display_name":"Multigrid method","score":0.8253719806671143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8173965215682983},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7159488797187805},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5904504060745239},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5678509473800659},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5584977269172668},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4898326098918915},{"id":"https://openalex.org/keywords/elliptic-boundary-value-problem","display_name":"Elliptic boundary value problem","score":0.44820573925971985},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4222594201564789},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.34116870164871216},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.33405524492263794}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8253719806671143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8173965215682983},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7159488797187805},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5904504060745239},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5678509473800659},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5584977269172668},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4898326098918915},{"id":"https://openalex.org/C94242865","wikidata":"https://www.wikidata.org/wiki/Q5365788","display_name":"Elliptic boundary value problem","level":4,"score":0.44820573925971985},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4222594201564789},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.34116870164871216},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.33405524492263794}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1064827597331813","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597331813","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:10.1.1.295.6546","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.295.6546","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.technion.ac.il/he/people/irad/online-publications/BIYS00.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.40.8963","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.8963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://phase.etl.go.jp/mgnet/mgnet/Conferences/CMCIM98/yavneh/paper.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1523631876","https://openalex.org/W1540935623","https://openalex.org/W1680579736","https://openalex.org/W1969173072","https://openalex.org/W1986414304","https://openalex.org/W2040023267","https://openalex.org/W2056715474","https://openalex.org/W2064745921","https://openalex.org/W2080760959","https://openalex.org/W2112287406","https://openalex.org/W2241115326","https://openalex.org/W2500538847","https://openalex.org/W3209416867"],"related_works":["https://openalex.org/W2044697783","https://openalex.org/W2388290192","https://openalex.org/W2502050860","https://openalex.org/W259018323","https://openalex.org/W2358806001","https://openalex.org/W2149840264","https://openalex.org/W2907804156","https://openalex.org/W2443332984","https://openalex.org/W644935867","https://openalex.org/W2625833155"],"abstract_inverted_index":{"An":[0],"efficient":[1],"multigrid":[2],"approach":[3],"for":[4],"solving":[5],"a":[6,30],"discretized":[7],"elliptic":[8],"equation":[9],"whose":[10],"boundary":[11],"values":[12],"are":[13],"determined":[14],"in":[15],"part":[16],"by":[17,29],"integral":[18,50],"relations":[19],"is":[20,27,33],"developed,":[21],"analyzed,":[22],"and":[23],"tested.":[24],"The":[25],"algorithm":[26],"motivated":[28],"problem":[31],"that":[32],"solved":[34],"during":[35],"integration":[36],"of":[37],"the":[38,49],"3D":[39],"quasigeostrophic":[40],"(QG)":[41],"equations,":[42],"which":[43],"model":[44],"large-scale":[45],"rotating":[46],"stratifiedflows,":[47],"where":[48],"constraints":[51],"represent":[52],"mass":[53],"conservation.":[54]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
