{"id":"W2767825672","doi":"10.1007/s11075-017-0437-3","title":"Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems","year":2017,"lang":"en","type":"article","venue":"Numerical Algorithms","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Irish Research Council","keywords":"Preconditioner; Mathematics; Discretization; Finite element method; Polygon mesh; Boundary layer; Singular perturbation; Numerical analysis; Applied mathematics; Mathematical analysis; Multigrid method; Boundary value problem; Linear system; Partial differential equation; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003473417,0.0002032291,0.000408742,0.00008592701,0.0007637439,0.0001590437,0.0003112944,0.0001161787,0.0002489408],"category_scores_gemma":[0.002056816,0.0001675749,0.0002244025,0.0001202236,0.0001755107,0.0002796793,0.0000924274,0.0001470781,0.000007898416],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005928681,"about_ca_system_score_gemma":0.00006511816,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000945685,"about_ca_topic_score_gemma":0.000005889097,"domain_scores_codex":[0.9983873,0.00009384748,0.0005568484,0.0003350929,0.0003417632,0.0002851282],"domain_scores_gemma":[0.9977149,0.0007939303,0.0005407431,0.0005869722,0.000228998,0.0001344185],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000359376,0.006578333,0.002326174,0.001118516,0.0008587872,0.000005492324,0.003544377,0.0003004491,0.04556375,0.1539581,0.005403887,0.7799828],"study_design_scores_gemma":[0.003355735,0.001239727,0.0121515,0.0003175902,0.0004841491,0.000007021425,0.0003822851,0.220393,0.006492791,0.7037535,0.05041372,0.001008991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.007148876,0.00002783607,0.988914,0.001089322,0.0004954038,0.0007424765,0.0001531614,0.00007154412,0.001357339],"genre_scores_gemma":[0.458867,0.00002194352,0.5381156,0.00008217033,0.0003014406,0.0003947565,0.00019538,0.00006565981,0.001956144],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.7789738,"threshold_uncertainty_score":0.6833506,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09395097368211223,"score_gpt":0.3795944641367546,"score_spread":0.2856434904546423,"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."}}