{"id":"W2083110730","doi":"10.1002/nme.1132","title":"<i>A posteriori</i> finite element bounds to linear functional outputs of the three‐dimensional Navier–Stokes equations","year":2004,"lang":"en","type":"article","venue":"International Journal for Numerical Methods in Engineering","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University; University of Toronto","funders":"","keywords":"Finite element method; Mathematics; Upper and lower bounds; A priori and a posteriori; Reynolds number; Navier–Stokes equations; Linearization; Pressure-correction method; Applied mathematics; Mathematical analysis; Compressibility; Incompressible flow; Flow (mathematics); Nonlinear system; Geometry; Physics; Mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008425212,0.0002601747,0.0003511083,0.0003081148,0.00008805934,0.00004389309,0.0005628717,0.00008492311,0.0000241405],"category_scores_gemma":[0.002730241,0.0002217069,0.0002546992,0.0005242802,0.00003893644,0.0001888853,0.0001481376,0.000492062,0.00000548014],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005374072,"about_ca_system_score_gemma":0.00007735997,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003738681,"about_ca_topic_score_gemma":0.000001560509,"domain_scores_codex":[0.9977676,0.00006104848,0.0009343395,0.0002107666,0.0006932275,0.0003329906],"domain_scores_gemma":[0.99694,0.002185056,0.0001615969,0.0001901973,0.0003720517,0.0001511119],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003489312,0.00006245491,0.00006797256,0.00003372154,0.0001012027,0.000003493579,0.0001131063,0.9727899,0.006901683,0.00524392,0.00002583711,0.01462184],"study_design_scores_gemma":[0.001120684,0.000128061,0.001066203,0.0004169357,0.00003264736,0.0001052226,0.00002509737,0.9233048,0.01265286,0.0544158,0.006327533,0.0004041557],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002711255,0.0001555556,0.9893039,0.001039346,0.006330228,0.0003098217,0.00003948963,0.00007281682,0.00003751662],"genre_scores_gemma":[0.08292022,0.00000631998,0.9161897,0.0002804914,0.0004471712,0.00007253664,0.000005930968,0.0000616933,0.00001592197],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.08020896,"threshold_uncertainty_score":0.9040943,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04641464816804131,"score_gpt":0.3777235375235006,"score_spread":0.3313088893554593,"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."}}