{"id":"https://openalex.org/W1966056635","doi":"https://doi.org/10.1137/s1064827597322306","title":"Optimal Decomposition of the Domain in Spectral Methods for Wave-Like Phenomena","display_name":"Optimal Decomposition of the Domain in Spectral Methods for Wave-Like Phenomena","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1966056635","doi":"https://doi.org/10.1137/s1064827597322306","mag":"1966056635"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827597322306","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597322306","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/A5032082361","display_name":"Carl Erik Wasberg","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Carl Erik Wasberg","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010672869","display_name":"David Gottlieb","orcid":"https://orcid.org/0000-0001-5807-1766"},"institutions":[{"id":"https://openalex.org/I175594653","display_name":"John Brown University","ror":"https://ror.org/02ct41q97","country_code":"US","type":"education","lineage":["https://openalex.org/I175594653"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Gottlieb","raw_affiliation_strings":["Brown University"],"affiliations":[{"raw_affiliation_string":"Brown University","institution_ids":["https://openalex.org/I175594653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032082361"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6084,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.80124875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"2","first_page":"617","last_page":"632"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994000196456909,"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/grid","display_name":"Grid","score":0.7664228677749634},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7631704807281494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7482985854148865},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5682181119918823},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5233924984931946},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4471908211708069},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4277746081352234},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.42146068811416626},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.41970765590667725},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3999707102775574},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3743693232536316},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2579561769962311},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17434588074684143},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.0847998559474945}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7664228677749634},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7631704807281494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7482985854148865},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5682181119918823},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5233924984931946},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4471908211708069},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4277746081352234},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.42146068811416626},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.41970765590667725},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3999707102775574},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3743693232536316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2579561769962311},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17434588074684143},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0847998559474945},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827597322306","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597322306","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1526329650","https://openalex.org/W1912930600","https://openalex.org/W1987166016","https://openalex.org/W2001816900","https://openalex.org/W2014669217","https://openalex.org/W2015138641","https://openalex.org/W2045111266","https://openalex.org/W2047352485","https://openalex.org/W2053856828","https://openalex.org/W2055968818","https://openalex.org/W2060240733","https://openalex.org/W2106645644","https://openalex.org/W2120062331","https://openalex.org/W2131778920","https://openalex.org/W2152841193","https://openalex.org/W3209416867","https://openalex.org/W4245090284","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W2597266923","https://openalex.org/W2018702098","https://openalex.org/W30930551","https://openalex.org/W2161243591","https://openalex.org/W2003238696","https://openalex.org/W2156024331","https://openalex.org/W569408057","https://openalex.org/W4211094555","https://openalex.org/W2153233687","https://openalex.org/W2091647599"],"abstract_inverted_index":{"A":[0],"strategy":[1],"for":[2,30,45,70],"determining":[3],"the":[4,42,52,57,66,79,85,91],"optimal":[5],"number":[6,58,86,92],"of":[7,33,48,59,78,87,93],"grid":[8,34,60,94],"points":[9,35,61,95],"and":[10,51,62],"subdomains":[11,63,88],"in":[12,36],"a":[13,20,71],"spectral":[14,46],"method":[15],"with":[16],"domain":[17],"decomposition":[18],"on":[19],"serial":[21],"computer":[22],"is":[23,39,54,81],"presented.":[24],"The":[25,74],"rapidly":[26],"growing":[27],"computational":[28,68],"cost":[29,69],"large":[31],"numbers":[32],"each":[37,97],"subdomain":[38],"balanced":[40],"against":[41],"exponential":[43],"convergence":[44],"approximation":[47],"smooth":[49],"functions,":[50],"optimum":[53],"found":[55,82],"as":[56],"that":[64],"gives":[65],"minimal":[67],"given":[72],"accuracy.":[73],"typical":[75],"length":[76],"scale":[77],"problem":[80],"to":[83],"influence":[84],"but":[89],"not":[90],"within":[96],"subdomain.":[98]},"counts_by_year":[{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}