{"id":"W4407177956","doi":"10.1137/23m1584514","title":"Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations","year":2025,"lang":"en","type":"article","venue":"SIAM Journal on Scientific Computing","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Office of Science","keywords":"Multigrid method; Mathematics; Stokes problem; Algebraic number; Applied mathematics; Algebraic equation; Algebra over a field; Mathematical analysis; Partial differential equation; Finite element method; Pure mathematics; Nonlinear system; Physics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000288825,0.0003722511,0.0004894021,0.0002613814,0.0005400638,0.0007073622,0.0008485791,0.0005949022,0.004806809],"category_scores_gemma":[0.001008321,0.0002886197,0.0003947933,0.0002838928,0.0005240609,0.0007996556,0.001264024,0.001384222,0.0009774114],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003013992,"about_ca_system_score_gemma":0.001092374,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002040736,"about_ca_topic_score_gemma":0.007039989,"domain_scores_codex":[0.9997777,0.0000478506,0.000009797254,0.00002907898,0.00010462,0.00003089714],"domain_scores_gemma":[0.9996731,0.00008896407,0.00002728997,0.0000869333,0.00008472261,0.0000389284],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000256802,0.0002549193,0.001050789,0.0002158793,0.00008694151,0.0001660621,0.0002937339,0.2879708,0.05178317,0.3920963,0.01689458,0.2489301],"study_design_scores_gemma":[0.00004003047,0.00003197454,0.0002401886,0.00001012255,0.000008521785,0.00002434057,0.00002082805,0.9518049,0.006639085,0.03487507,0.006294646,0.00001034495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01918209,0.0001344412,0.9690107,0.0002426164,0.0001625429,0.00004802168,0.0001225299,0.0009212884,0.01017579],"genre_scores_gemma":[0.3931401,0.0002077485,0.5859074,0.0002426169,0.0001797055,0.0001946138,0.000349352,0.0004659099,0.01931256],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004806809,"threshold_uncertainty_score":0.01608038,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0379746303162851,"score_gpt":0.3497028548053783,"score_spread":0.3117282244890932,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}