{"id":"W2792778553","doi":"10.1016/j.cma.2018.02.014","title":"Three-dimensional dispersion analysis and stabilized finite element methods for acoustics","year":2018,"lang":"en","type":"article","venue":"Computer Methods in Applied Mechanics and Engineering","topic":"Numerical methods in engineering","field":"Engineering","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Galerkin method; Helmholtz equation; Finite element method; Stability (learning theory); Mathematics; Polygon mesh; Discontinuous Galerkin method; Dispersion (optics); Helmholtz free energy; Applied mathematics; Numerical analysis; Acoustic dispersion; Mathematical analysis; Mathematical optimization; Computer science; Geometry; Boundary value problem; Physics; Structural engineering; Engineering","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":[0.002045357,0.0003844598,0.000695667,0.0005073912,0.00007125742,0.00005728189,0.0001711587,0.0001772575,0.0000111656],"category_scores_gemma":[0.0001297523,0.0003994585,0.0000989683,0.0008153302,0.00002408998,0.00005271798,0.0002276346,0.0002942775,5.203455e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008971597,"about_ca_system_score_gemma":0.000007171231,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002657469,"about_ca_topic_score_gemma":0.000002223792,"domain_scores_codex":[0.9983144,0.00005110945,0.0004964995,0.0004983422,0.0001228762,0.0005167922],"domain_scores_gemma":[0.9977789,0.001614864,0.00004428631,0.0003306333,0.00004524224,0.0001860814],"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":[0.0000164843,0.00001364721,0.000009037572,0.0001948562,0.0002578007,8.64434e-7,0.0001171825,0.4664481,0.09399849,0.006114129,0.000006783011,0.4328226],"study_design_scores_gemma":[0.0005185963,0.00006894293,0.0001468165,0.00003485949,0.0002039058,0.000002605004,0.00001046268,0.9819716,0.008842445,0.006331914,0.001431898,0.0004359807],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001880795,0.0005354391,0.9959305,0.000009138277,0.0009106884,0.0004180465,0.000008102633,0.0002901394,0.00001717924],"genre_scores_gemma":[0.01516938,0.00008655146,0.984284,0.00003240705,0.0002185381,0.0001142952,0.000007260542,0.00008647428,0.000001058907],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5155235,"threshold_uncertainty_score":0.9998457,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0203955623532195,"score_gpt":0.3146710727367146,"score_spread":0.2942755103834951,"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."}}