{"id":"W2963760063","doi":"10.48550/arxiv.1611.00979","title":"Conservative and Stable Degree Preserving SBP Operators for Non-Conforming Meshes","year":2016,"lang":"en","type":"preprint","venue":"Kölner Universitäts PublikationsServer (Universität zu Köln)","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Conservation law; Applied mathematics; Norm (philosophy); Polygon mesh; Degree (music); Finite element method; Galerkin method; Matrix (chemical analysis); Discontinuous Galerkin method; Ansatz; Partial differential equation; Finite difference; Operator norm; Stability (learning theory); Summation by parts; Mathematical analysis; Computer science; Operator theory; Geometry","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":[0.0007562239,0.0004181558,0.0003236737,0.0003258177,0.0004503394,0.0009375553,0.0008810062,0.0006484524,0.0016035],"category_scores_gemma":[0.002429672,0.0001967664,0.0005648017,0.0003009272,0.001323503,0.001113521,0.001744721,0.001541791,0.0004519807],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003692046,"about_ca_system_score_gemma":0.00046696,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000382174,"about_ca_topic_score_gemma":0.0004396849,"domain_scores_codex":[0.9994668,0.0001243228,0.00002729874,0.00005150744,0.0002883493,0.00004173451],"domain_scores_gemma":[0.9991739,0.000264843,0.0001265351,0.0002434458,0.0001281562,0.00006313832],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001110736,0.00008524222,0.0007700776,0.0001762402,0.00002208875,0.0002758421,0.0004650391,0.1364019,0.07374547,0.7281107,0.001806388,0.05802993],"study_design_scores_gemma":[0.00002132077,0.0000617157,0.0002008068,0.00001988218,0.00000620372,0.0001413073,0.00004823215,0.8602824,0.0126551,0.120522,0.00602483,0.00001623495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03255738,0.0001090579,0.9604617,0.0001419776,0.0000762354,0.00004419671,0.00003041517,0.000150211,0.006428824],"genre_scores_gemma":[0.5614629,0.0003876751,0.4260886,0.000227247,0.0001181376,0.0001959952,0.0001363965,0.0002406148,0.01114243],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0016035,"threshold_uncertainty_score":0.005364299,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04829101952354391,"score_gpt":0.2717596675849851,"score_spread":0.2234686480614412,"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."}}