{"doi":"10.1115/fedsm2002-31368","title":"A Non-Overlapping Domain Decomposition Method for the Stokes Problem","abstract":"<jats:p>A domain decomposition method for the Stokes problem using Lagrange multipliers is described. The dual system associated with the Lagrange multipliers is solved based on an iterative procedure using the two-level finite element tearing and interconnecting (FETI) method. Numerical tests are performed by solving the driven cavity problem. An analysis of the number of outer iterations and an evaluation of the cost of the inner iterations are reported. Comparison with the well-known Uzawa algorithm shows a reduction in the floating point operations count of the inner iterations while achieving the same number of outer iterations.</jats:p>","journal":"Volume 2: Symposia and General Papers, Parts A and B","year":2002,"id":44814,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":210339,"name":"Marius Paraschivoiu","orcid":null,"position":1,"is_corresponding":false},{"id":210338,"name":"Attila Zsaki","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21062823","pmcid":null,"openalex_id":"https://openalex.org/W1985460801","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.10676276,"influential_citations":0,"citation_trend":[],"oa_status":"closed","license":null,"oa_locations":[{"url":"http://asmedigitalcollection.asme.org/FEDSM/proceedings-pdf/doi/10.1115/FEDSM2002-31368/2577097/579_1.pdf","host_type":"publisher"},{"url":"https://doi.org/10.1115/fedsm2002-31368","host_type":""}],"fields_of_study":["Advanced Numerical Methods in Computational Mathematics","Electromagnetic Simulation and Numerical Methods","Matrix Theory and Algorithms","Mathematics","Engineering"],"mesh_terms":[],"keywords":["Lagrange multiplier","FETI","Domain decomposition methods","Mortar methods","Iterative method","Finite element method","Constraint algorithm","Fictitious domain method","Mathematics","Mathematical optimization","Decomposition method (queueing theory)","Applied mathematics","Tearing","Domain (mathematical analysis)","Decomposition","Reduction (mathematics)","Algorithm","Computer science","Mathematical analysis","Geometry","Physics","Discrete mathematics","Structural engineering","Engineering"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-07-01T22:29:11.237519Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}