{"doi":"10.1155/2013/563480","title":"A p-Strategy with a Local Time-Stepping Method in a Discontinuous Galerkin Approach to Solve Electromagnetic Problems","abstract":"<jats:p>We present a local spatial approximation or p-strategy Discontinuous Galerkin method to solve the time-domain Maxwell equations. First, the Discontinuous Galerkin method with a local time-stepping strategy is recalled. Next, in order to increase the efficiency of the method, a local spatial approximation strategy is introduced and studied. While preserving accuracy and by using different spatial approximation orders for each cell, this strategy is very efficient to reduce the computational time and the required memory in numerical simulations using very distorted meshes. Several numerical examples are given to show the interest and the capacity of such method.</jats:p>","journal":"Journal of Computational Methods in Physics","year":2013,"id":23494,"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":144045,"name":"Xavier Ferrieres","orcid":null,"position":1,"is_corresponding":false},{"id":144046,"name":"Sebastien Pernet","orcid":"0000-0002-1011-244X","position":2,"is_corresponding":false},{"id":144047,"name":"Jean-Baptiste Laurent","orcid":null,"position":3,"is_corresponding":false},{"id":144048,"name":"Bernard Pecqueux","orcid":null,"position":4,"is_corresponding":false},{"id":144049,"name":"Pierre Seimandi","orcid":"0000-0003-0119-7821","position":5,"is_corresponding":false},{"id":144044,"name":"Benoit Mallet","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":"24523987","pmcid":null,"openalex_id":"https://openalex.org/W1994841366","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.06939747,"influential_citations":0,"citation_trend":[],"oa_status":"hybrid","license":"cc-by","oa_locations":[{"url":"https://downloads.hindawi.com/archive/2013/563480.pdf","host_type":"journal"},{"url":"https://doi.org/10.1155/2013/563480","host_type":"GOLD"},{"url":"https://downloads.hindawi.com/archive/2013/563480.pdf","host_type":"publisher"},{"url":"http://downloads.hindawi.com/archive/2013/563480.pdf","host_type":"publisher"},{"url":"http://downloads.hindawi.com/archive/2013/563480.xml","host_type":"publisher"}],"fields_of_study":["Electromagnetic Simulation and Numerical Methods","Electromagnetic Scattering and Analysis","Advanced Numerical Methods in Computational Mathematics","Mathematics","Engineering","Physics"],"mesh_terms":[],"keywords":["Discontinuous Galerkin method","Polygon mesh","Galerkin method","Time stepping","Mathematics","Applied mathematics","Mathematical optimization","Local time","Domain (mathematical analysis)","Maxwell's equations","Computer science","Mathematical analysis","Finite element method","Discretization","Geometry","Physics"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Affordable and clean energy"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-07T19:38:09.241103Z","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":[]}