{"id":"W2616915210","doi":"10.1016/j.matpur.2018.01.004","title":"A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary","year":2018,"lang":"fr","type":"preprint","venue":"Journal de Mathématiques Pures et Appliquées","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"Horizon 2020; H2020 Marie Skłodowska-Curie Actions; Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni; Horizon 2020 Framework Programme; Agence Nationale de la Recherche; European Commission; Higher Education Funding Council for Wales; Aberystwyth University; Università degli Studi di Padova; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Domain (mathematical analysis); Omega; Boundary (topology); Physics; Combinatorics; Dirichlet distribution; Dirichlet boundary condition; Dimension (graph theory); Mathematical analysis; Mathematics; Mathematical physics; Boundary value problem; Quantum 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":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.005183776,0.0007754937,0.0008136723,0.0001967281,0.0006240231,0.002584209,0.003332739,0.0003378395,0.0000118173],"category_scores_gemma":[0.0004344763,0.0004309862,0.000261468,0.0004915227,0.0002695195,0.0004169196,0.001568041,0.002276419,0.00003028782],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005267753,"about_ca_system_score_gemma":0.0009992586,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005015564,"about_ca_topic_score_gemma":0.0005935563,"domain_scores_codex":[0.99588,0.0004093228,0.001137248,0.0007800182,0.0006731765,0.001120256],"domain_scores_gemma":[0.9954875,0.001848792,0.0005455025,0.001269009,0.0005020015,0.0003471948],"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":[0.0002825298,0.0002829832,0.00001985535,0.001029064,0.0002259285,0.0001138997,0.0350912,0.4951835,0.0003097139,0.4563388,0.006523885,0.004598651],"study_design_scores_gemma":[0.0006677653,0.0005785155,0.0001397798,0.003276052,0.00008395196,0.001052861,0.0004523051,0.3261122,0.0003081594,0.534543,0.1320257,0.000759729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02598947,0.00211001,0.9236023,0.04384542,0.0003761815,0.003393145,0.00003308027,0.0001444288,0.0005059348],"genre_scores_gemma":[0.01926161,0.0004249123,0.9730123,0.002987188,0.0008996668,0.002728068,0.000002605849,0.000144894,0.0005388095],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1690713,"threshold_uncertainty_score":0.9998142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02460042841506131,"score_gpt":0.2896004573526736,"score_spread":0.2650000289376123,"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."}}