{"id":"https://openalex.org/W7164562164","doi":"https://doi.org/10.48550/arxiv.2606.13219","title":"Embedded Trefftz DG method for steady Navier-Stokes flow. Part II: Nonlinear problem","display_name":"Embedded Trefftz DG method for steady Navier-Stokes flow. Part II: Nonlinear problem","publication_year":2026,"publication_date":"2026-06-11","ids":{"openalex":"https://openalex.org/W7164562164","doi":"https://doi.org/10.48550/arxiv.2606.13219"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.13219","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.13219","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.13219","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057363168","display_name":"Paul Stocker","orcid":"https://orcid.org/0000-0001-5073-3366"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stocker, Paul","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049680399","display_name":"Igor Voulis","orcid":"https://orcid.org/0000-0002-7313-032X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Voulis, Igor","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028011223","display_name":"Christoph Lehrenfeld","orcid":"https://orcid.org/0000-0003-0170-8468"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lehrenfeld, Christoph","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5128155095","display_name":"Philip L. Lederer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lederer, Philip L.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9388999938964844,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9388999938964844,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.020500000566244125,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.007899999618530273,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7505999803543091},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6689000129699707},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5863000154495239},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5778999924659729},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47189998626708984},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4018999934196472}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7505999803543091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7034000158309937},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6689000129699707},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5863000154495239},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5778999924659729},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5188999772071838},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47189998626708984},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4018999934196472},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32850000262260437},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3246000111103058},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.26440000534057617}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.13219","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.13219","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.13219","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.13219","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,46,85],"develop":[1],"and":[2,56,69,79],"analyze":[3],"an":[4,88],"embedded":[5],"Trefftz-DG":[6],"method":[7,96],"for":[8],"the":[9,16,28,34,61,82,95,98,118],"steady":[10],"incompressible":[11],"Navier-Stokes":[12,109],"equations,":[13],"based":[14],"on":[15,33,113],"reduced":[17,29,62],"Oseen":[18,63],"discretization":[19],"from":[20,106],"Part":[21],"I.":[22],"The":[23],"main":[24],"difficulty":[25],"is":[26],"that":[27],"Trefftz":[30,54],"space":[31],"depends":[32],"convection":[35],"field,":[36],"so":[37],"successive":[38],"Picard":[39,83],"iterates":[40],"live":[41],"in":[42],"different":[43],"discrete":[44,76],"spaces.":[45],"address":[47],"this":[48],"by":[49,93],"constructing":[50],"projections":[51],"between":[52],"convection-dependent":[53],"spaces":[55],"using":[57],"them":[58],"to":[59,97],"control":[60],"solution":[64],"map.":[65],"Under":[66],"suitable":[67],"resolution":[68],"small-data":[70],"assumptions,":[71],"we":[72],"prove":[73],"existence":[74],"of":[75,81],"solutions,":[77],"uniqueness,":[78],"convergence":[80,104],"iteration.":[84],"also":[86],"derive":[87],"a":[89],"priori":[90],"error":[91],"analysis":[92],"relating":[94],"underlying":[99],"DG":[100,108],"discretization,":[101],"thereby":[102],"inheriting":[103],"properties":[105],"compatible":[107],"analyses.":[110],"Numerical":[111],"experiments":[112],"standard":[114],"incompressible-flow":[115],"benchmarks":[116],"illustrate":[117],"theory.":[119]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-13T00:00:00"}