{"id":"W4362607146","doi":"10.5539/jmr.v15n2p19","title":"Convergence for an Immersed Finite Volume Method for Elliptic and Parabolic Interface Problems","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Lattice Boltzmann Simulation Studies","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Piecewise; Mathematics; Finite element method; Interface (matter); Constant (computer programming); Finite volume method for one-dimensional steady state diffusion; Convergence (economics); Mathematical analysis; Diffusion; Elliptic curve; Applied mathematics; Partial differential equation; Physics; Computer science; Mechanics; Thermodynamics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002731864,0.001469097,0.0008859653,0.001446519,0.0006401117,0.001591678,0.001617229,0.002332597,0.002598466],"category_scores_gemma":[0.005064511,0.0005015707,0.00144565,0.0003908266,0.003091824,0.002078845,0.00294369,0.002293899,0.0004914746],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001299803,"about_ca_system_score_gemma":0.00152302,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003700306,"about_ca_topic_score_gemma":0.001586711,"domain_scores_codex":[0.9991085,0.0003230887,0.00003878313,0.00009638717,0.0003513097,0.00008177895],"domain_scores_gemma":[0.9986499,0.0006626426,0.0001106667,0.00005881552,0.0003815382,0.0001363955],"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":[0.0001572188,0.0001153073,0.001031139,0.0003998922,0.00007388753,0.0002435708,0.0004815206,0.4837251,0.01607481,0.4742513,0.001304633,0.02214164],"study_design_scores_gemma":[0.000007826401,0.00002365883,0.00003883936,0.00001466435,0.000004361498,0.0000239444,0.00002129974,0.9801452,0.0008741305,0.01768009,0.001157552,0.000008460001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01302264,0.0004489282,0.9798768,0.0003502557,0.0001101037,0.00005637453,0.00002972716,0.00008246416,0.006022802],"genre_scores_gemma":[0.4241398,0.0009237101,0.5505525,0.0004464579,0.0002528098,0.000502205,0.0003053901,0.0004612028,0.02241592],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003700306,"threshold_uncertainty_score":0.01444763,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2229018529462126,"score_gpt":0.4605411055356458,"score_spread":0.2376392525894332,"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."}}