{"doi":"10.1002/fld.2524","title":"A discontinuous Galerkin scheme for the numerical solution of flow problems with discontinuities","abstract":"<jats:title>Abstract</jats:title><jats:p>In this paper, a new discontinuous Galerkin finite element method for the numerical solution of flow problems with discontinuities is presented. The method is based on the limitation in every cell of the difference between the extrema values and the mean value of the numerical solution. The algorithm and technical details for the implementation of the method are presented in one‐and two‐dimensional problems. Numerical experiments for classical test problems are solved on unstructured triangulations to demonstrate the performance of the proposed method. Copyright © 2011 John Wiley &amp; Sons, Ltd.</jats:p>","journal":"International Journal for Numerical Methods in Fluids","year":2012,"id":23084,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":142983,"name":"Charalambos Makridakis","orcid":null,"position":1,"is_corresponding":false},{"id":142982,"name":"Ioannis Toulopoulos","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"21071399","pmcid":null,"openalex_id":"https://openalex.org/W1964924365","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.06146426,"influential_citations":0,"citation_trend":[],"oa_status":"bronze","license":"http://onlinelibrary.wiley.com/termsAndConditions#vor","oa_locations":[{"url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/fld.2524","host_type":"journal"},{"url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/fld.2524","host_type":"BRONZE"},{"url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/fld.2524","host_type":"publisher"},{"url":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Ffld.2524","host_type":"publisher"},{"url":"https://onlinelibrary.wiley.com/doi/pdf/10.1002/fld.2524","host_type":"publisher"},{"url":"https://doi.org/10.1002/fld.2524","host_type":"journal"}],"fields_of_study":["Computational Fluid Dynamics and Aerodynamics","Advanced Numerical Methods in Computational Mathematics","Differential Equations and Numerical Methods","Mathematics","Engineering"],"mesh_terms":[],"keywords":["Classification of discontinuities","Discontinuous Galerkin method","Mathematics","Maxima and minima","Scheme (mathematics)","Finite element method","Applied mathematics","Numerical analysis","Galerkin method","Flow (mathematics)","Mathematical optimization","Mathematical analysis","Geometry","Engineering","Structural engineering"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-07T17:57:03.633470Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}