{"id":"W1514658588","doi":"10.1137/130912700","title":"Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems","year":2015,"lang":"en","type":"article","venue":"SIAM Journal on Numerical Analysis","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":230,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Hong Kong Polytechnic University; National Science Foundation","keywords":"Mathematics; Polygon mesh; Finite element method; Norm (philosophy); Rate of convergence; Discontinuity (linguistics); Applied mathematics; Bilinear interpolation; Uniform norm; Convergence (economics); Elliptic curve; Mathematical analysis; Geometry; Computer science","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001597065,0.0003277604,0.0008389284,0.0003657122,0.0001067029,0.0001052078,0.0003545511,0.00008189736,0.0001672225],"category_scores_gemma":[0.001318352,0.0002651923,0.0005916512,0.001421443,0.00004589219,0.000145554,0.0000446298,0.0004439424,0.00005659798],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002879149,"about_ca_system_score_gemma":0.00004268313,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001234775,"about_ca_topic_score_gemma":3.803059e-7,"domain_scores_codex":[0.9973817,0.0003894708,0.0009754207,0.0002866437,0.0004888186,0.0004779341],"domain_scores_gemma":[0.9965562,0.002064183,0.0002888718,0.0002735294,0.0003184345,0.0004988225],"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":[0.00007766068,0.000103311,0.0000217239,0.00003637445,0.001412065,0.000003973478,0.0002647657,0.9561371,0.0003387006,0.0004512688,0.0002583506,0.04089466],"study_design_scores_gemma":[0.0007440347,0.000350919,0.00001321974,0.0000307524,0.0007886174,0.00001177654,0.0001054294,0.9299018,0.001042738,0.039978,0.02671096,0.0003217155],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.000459571,0.0005647257,0.997395,0.0004046188,0.0004279748,0.0002554062,0.000006968188,0.0001305183,0.0003551553],"genre_scores_gemma":[0.1008682,0.00006028212,0.8984482,0.0002001976,0.0001947295,0.00004394643,0.00000805655,0.00005988022,0.000116574],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1004086,"threshold_uncertainty_score":0.99998,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06973910171961009,"score_gpt":0.4008194200774238,"score_spread":0.3310803183578137,"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."}}