{"id":"https://openalex.org/W2000867371","doi":"https://doi.org/10.1137/s1064827502412887","title":"A Preconditioner for Substructuring Based on Constrained Energy Minimization","display_name":"A Preconditioner for Substructuring Based on Constrained Energy Minimization","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2000867371","doi":"https://doi.org/10.1137/s1064827502412887","mag":"2000867371"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827502412887","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827502412887","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/A5036660014","display_name":"Clark R. Dohrmann","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Clark R. Dohrmann","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036660014"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":19.6087,"has_fulltext":false,"cited_by_count":400,"citation_normalized_percentile":{"value":0.99663512,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"25","issue":"1","first_page":"246","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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":0.9998000264167786,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.9683172106742859},{"id":"https://openalex.org/keywords/substructure","display_name":"Substructure","score":0.5916116833686829},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5794814825057983},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5602446794509888},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5406275987625122},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5107357501983643},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4757421016693115},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.45599812269210815},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.453098326921463},{"id":"https://openalex.org/keywords/energy-minimization","display_name":"Energy minimization","score":0.42176973819732666},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.41679805517196655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3448643684387207},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3441781997680664},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15615248680114746},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12659239768981934}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9683172106742859},{"id":"https://openalex.org/C99679407","wikidata":"https://www.wikidata.org/wiki/Q56761637","display_name":"Substructure","level":2,"score":0.5916116833686829},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5794814825057983},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5602446794509888},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5406275987625122},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5107357501983643},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4757421016693115},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.45599812269210815},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.453098326921463},{"id":"https://openalex.org/C14961307","wikidata":"https://www.wikidata.org/wiki/Q5377176","display_name":"Energy minimization","level":2,"score":0.42176973819732666},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.41679805517196655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3448643684387207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3441781997680664},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15615248680114746},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12659239768981934},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827502412887","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827502412887","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":[{"score":0.8899999856948853,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1501357369","https://openalex.org/W1606523307","https://openalex.org/W1646202054","https://openalex.org/W1974521166","https://openalex.org/W2005390260","https://openalex.org/W2018834578","https://openalex.org/W2024179839","https://openalex.org/W2039882329","https://openalex.org/W2082817855","https://openalex.org/W2103486983","https://openalex.org/W2147608587","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W3153444835","https://openalex.org/W2153916713","https://openalex.org/W2023846184","https://openalex.org/W2703419385","https://openalex.org/W2329056228","https://openalex.org/W2357336958","https://openalex.org/W4281839678","https://openalex.org/W2284584236","https://openalex.org/W152950973","https://openalex.org/W2535797495"],"abstract_inverted_index":{"A":[0],"preconditioner":[1,13],"for":[2,27,56],"substructuring":[3],"based":[4],"on":[5,48],"constrained":[6],"energy":[7],"minimization":[8],"concepts":[9],"is":[10,14],"presented.":[11],"The":[12,38],"applicable":[15],"to":[16],"both":[17,59],"structured":[18],"and":[19,22,33,62,83],"unstructured":[20],"meshes":[21],"offers":[23],"a":[24],"straightforward":[25],"approach":[26,39],"the":[28,54,60,71,75,87],"iterative":[29],"solution":[30],"of":[31,46,74,79,86],"second-":[32],"fourth-order":[34],"structural":[35],"mechanics":[36],"problems.":[37],"involves":[40],"constraints":[41,52],"associated":[42],"with":[43],"disjoint":[44],"sets":[45],"nodes":[47],"substructure":[49,61],"boundaries.":[50],"These":[51],"provide":[53],"means":[55],"preconditioning":[57],"at":[58],"global":[63],"levels.":[64],"Numerical":[65],"examples":[66],"are":[67],"presented":[68],"that":[69],"demonstrate":[70],"good":[72],"performance":[73],"method":[76],"in":[77],"terms":[78],"iterations,":[80],"compute":[81],"time,":[82],"condition":[84],"numbers":[85],"preconditioned":[88],"equations.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":23},{"year":2017,"cited_by_count":29},{"year":2016,"cited_by_count":22},{"year":2015,"cited_by_count":23},{"year":2014,"cited_by_count":28},{"year":2013,"cited_by_count":25},{"year":2012,"cited_by_count":21}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
