{"id":"W7133087435","doi":"","title":"The Electrostatic Problem for Piecewise Constant Conductivities in Two Dimensions: Numerical Methods and Optimal Regularity","year":2025,"lang":"","type":"dissertation","venue":"TSpace","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Piecewise; Integral equation; Constant function; Boundary element method; Uniqueness; Numerical analysis; Constant (computer programming); Inverse problem; Partial differential equation; Boundary value problem","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":[0.001238226,0.0004563623,0.0004422708,0.0007928836,0.000500802,0.000891145,0.0007765334,0.001209992,0.001081493],"category_scores_gemma":[0.003917249,0.0003320802,0.0006789225,0.0005046675,0.001795109,0.001030932,0.001748719,0.001219441,0.0002649293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006256981,"about_ca_system_score_gemma":0.0007526109,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0015709,"about_ca_topic_score_gemma":0.001231565,"domain_scores_codex":[0.9996697,0.0001291876,0.00002015358,0.00004385948,0.0001090467,0.00002806335],"domain_scores_gemma":[0.9990227,0.0006210853,0.0001089143,0.00008152058,0.0001230059,0.00004272948],"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":[0.00003852505,0.00004117854,0.001064087,0.0002189272,0.00002343351,0.0001882836,0.0002029691,0.5803076,0.009401713,0.3835465,0.001419909,0.02354694],"study_design_scores_gemma":[0.000008643456,0.00001252155,0.00009513865,0.00001911868,0.000003711372,0.00005361746,0.00001795417,0.9582982,0.0007967404,0.03792701,0.002757763,0.000009572507],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01677398,0.0008254144,0.9756821,0.0007130968,0.00008256076,0.00003671828,0.00004520424,0.00006881396,0.005772161],"genre_scores_gemma":[0.3272946,0.001854065,0.6567988,0.0003644779,0.000198223,0.0003651438,0.000124166,0.0001796053,0.01282083],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0015709,"threshold_uncertainty_score":0.006548464,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07095493824259932,"score_gpt":0.4825966265292099,"score_spread":0.4116416882866105,"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."}}