{"id":"W2160685557","doi":"10.1137/140972299","title":"Finite Element Discretization of the Stokes and Navier--Stokes Equations with Boundary Conditions on the Pressure","year":2015,"lang":"en","type":"article","venue":"SIAM Journal on Numerical Analysis","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Discretization; Finite element method; Mathematical analysis; Navier–Stokes equations; Dirichlet boundary condition; A priori and a posteriori; Boundary knot method; Stokes flow; Boundary value problem; Stokes problem; Boundary (topology); Dirichlet distribution; Boundary element method; Mixed boundary condition; Singular boundary method; Geometry; Flow (mathematics); Mechanics; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000534115,0.0004094279,0.000858334,0.0003869401,0.0003780493,0.0008977486,0.0008190177,0.001342978,0.002517368],"category_scores_gemma":[0.001155411,0.0002559879,0.0005707319,0.0004134544,0.0006584413,0.0006554164,0.0008754918,0.0009836588,0.000598878],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000422182,"about_ca_system_score_gemma":0.0006965745,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001911549,"about_ca_topic_score_gemma":0.001263269,"domain_scores_codex":[0.9996025,0.0001327347,0.00002264368,0.00004040515,0.0001708068,0.0000310118],"domain_scores_gemma":[0.9996537,0.0001768669,0.0000263943,0.00004401473,0.00007232973,0.00002676297],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008818421,0.0001334155,0.0009191837,0.0002219212,0.00002945121,0.0001561975,0.0002013327,0.8194503,0.02531218,0.1077731,0.001065482,0.04464919],"study_design_scores_gemma":[0.00001095595,0.00001824485,0.0001156739,0.00001641004,0.000004841811,0.0000486445,0.00002188305,0.9835669,0.004064168,0.008255682,0.0038655,0.00001111743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02611436,0.0004634053,0.9625496,0.0003038596,0.0001357378,0.00005197137,0.0001483884,0.0001479086,0.01008479],"genre_scores_gemma":[0.4140046,0.0007102306,0.569829,0.000164524,0.00007795281,0.0003419182,0.0004449675,0.0001124432,0.01431441],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002517368,"threshold_uncertainty_score":0.008421421,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02733459609151568,"score_gpt":0.2958219512067242,"score_spread":0.2684873551152085,"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."}}