{"id":"https://openalex.org/W7212550540","doi":"https://doi.org/10.48550/arxiv.2609.12241","title":"Transform before linearizing: robust Newton methods for singular $p$-Laplace and $p$-Stokes equations","display_name":"Transform before linearizing: robust Newton methods for singular $p$-Laplace and $p$-Stokes equations","publication_year":2026,"publication_date":"2026-09-10","ids":{"openalex":"https://openalex.org/W7212550540","doi":"https://doi.org/10.48550/arxiv.2609.12241"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.12241","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12241","pdf_url":"https://arxiv.org/pdf/2609.12241","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.12241","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008233442","display_name":"Gonzalo Gonzalez de Diego","orcid":"https://orcid.org/0000-0002-9896-024X","observed_orcids":["https://orcid.org/0000-0002-9896-024X"]},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES","US"],"is_corresponding":false,"raw_author_name":"De Diego, Gonzalo G.","raw_affiliation_strings":["Courant Institute School of Mathematics, Computing and Data Science , New York University , New York , NY , USA","ETSIT , Technical University of Madrid (UPM) , Madrid , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute School of Mathematics, Computing and Data Science , New York University , New York , NY , USA","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"ETSIT , Technical University of Madrid (UPM) , Madrid , Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038581413","display_name":"Fortino Garc\u00eda","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Garcia, Fortino","raw_affiliation_strings":["Courant Institute School of Mathematics, Computing and Data Science , New York University , New York , NY , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute School of Mathematics, Computing and Data Science , New York University , New York , NY , USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012373865","display_name":"Georg Stadler","orcid":"https://orcid.org/0000-0001-7762-6544","observed_orcids":["https://orcid.org/0000-0001-7762-6544","https://orcid.org/0000-0002-4080-122X"]},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stadler, Georg","raw_affiliation_strings":["Courant Institute School of Mathematics, Computing and Data Science , New York University , New York , NY , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute School of Mathematics, Computing and Data Science , New York University , New York , NY , USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5130369645","display_name":"Kewei Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wang, Kewei","raw_affiliation_strings":["Courant Institute School of Mathematics, Computing and Data Science , New York University , New York , NY , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute School of Mathematics, Computing and Data Science , New York University , New York , NY , USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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":0.45019999146461487,"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":0.45019999146461487,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.2768999934196472,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.17919999361038208,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/newton-s-method","display_name":"Newton's method","score":0.6209999918937683},{"id":"https://openalex.org/keywords/nonlinear-elliptic-equations","display_name":"nonlinear elliptic equations","score":0.7239999771118164},{"id":"https://openalex.org/keywords/robust-convergence","display_name":"robust convergence","score":0.4009999930858612},{"id":"https://openalex.org/keywords/linearization","display_name":"linearization","score":0.3959999978542328}],"concepts":[{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.524399995803833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4837000072002411},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.42890000343322754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3522999882698059},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3424000144004822},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.33149999380111694},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.30250000953674316},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2685000002384186},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25690001249313354},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2540000081062317},{"id":"https://openalex.org/C136272165","wikidata":"https://www.wikidata.org/wiki/Q4048889","display_name":"Singular spectrum analysis","level":3,"score":0.25380000472068787},{"id":"https://openalex.org/C173443657","wikidata":"https://www.wikidata.org/wiki/Q7606635","display_name":"Steffensen's method","level":5,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.12241","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12241","pdf_url":"https://arxiv.org/pdf/2609.12241","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.12241","doi":"https://doi.org/10.48550/arxiv.2609.12241","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.12241","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,"listed_in":[],"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.12241","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.12241","pdf_url":"https://arxiv.org/pdf/2609.12241","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1073784876","display_name":"Collaborative Research: Frameworks: Differentiable Dynamic Simulation on Complex Geometries for Parameter Inference, Design Optimization and Control","funder_award_id":"2411349","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2372059486","display_name":"Collaborative Research: Bridging short and long time scales in global plate tectonics through solver adaptivity","funder_award_id":"2343866","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8086342475","display_name":"Taming nonlinearity in PDE systems using lifted Newton nonlinear preconditioning","funder_award_id":"2411229","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212550540.pdf","grobid_xml":"https://content.openalex.org/works/W7212550540.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1428340059","https://openalex.org/W1986850130","https://openalex.org/W2018686874","https://openalex.org/W2019488781","https://openalex.org/W2049415037","https://openalex.org/W2057231518","https://openalex.org/W2072994709","https://openalex.org/W2084768159","https://openalex.org/W2101494568","https://openalex.org/W2107503465","https://openalex.org/W2107979247","https://openalex.org/W2120494006","https://openalex.org/W2130886650","https://openalex.org/W3013022800","https://openalex.org/W3040786754","https://openalex.org/W3046031568","https://openalex.org/W4234440840","https://openalex.org/W4283267821","https://openalex.org/W4292059901","https://openalex.org/W4301021743","https://openalex.org/W4309874960","https://openalex.org/W4388680399","https://openalex.org/W4402603440","https://openalex.org/W4410774320","https://openalex.org/W6964299289","https://openalex.org/W7147063372","https://openalex.org/W7163688370"],"related_works":["https://openalex.org/W7166166827","https://openalex.org/W4416083382","https://openalex.org/W7038573456","https://openalex.org/W2214076737","https://openalex.org/W2783824250","https://openalex.org/W2165251379","https://openalex.org/W6928908853","https://openalex.org/W1550250374","https://openalex.org/W4402603440","https://openalex.org/W655613451"],"abstract_inverted_index":{"For":[0],"$1":[1]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-15T00:00:00"}
