{"id":"https://openalex.org/W4416067706","doi":"https://doi.org/10.1137/25m172803x","title":"A Uniformly Accurate Diffeomorphic Embedding Method for Solving Eikonal Equations on Implicit Surfaces","display_name":"A Uniformly Accurate Diffeomorphic Embedding Method for Solving Eikonal Equations on Implicit Surfaces","publication_year":2025,"publication_date":"2025-11-10","ids":{"openalex":"https://openalex.org/W4416067706","doi":"https://doi.org/10.1137/25m172803x"},"language":"en","primary_location":{"id":"doi:10.1137/25m172803x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m172803x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113313810","display_name":"Yuxiao Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Yuxiao Wei","raw_affiliation_strings":["Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013248904","display_name":"Jianliang Qian","orcid":"https://orcid.org/0000-0003-3058-0096"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianliang Qian","raw_affiliation_strings":["Department of Mathematics and Department of CMSE, Michigan State University, East Lansing, MI 48824 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Department of CMSE, Michigan State University, East Lansing, MI 48824 USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059208158","display_name":"Shingyu Leung","orcid":"https://orcid.org/0000-0002-4549-2761"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Shingyu Leung","raw_affiliation_strings":["Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-4549-2761","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113313810"],"corresponding_institution_ids":["https://openalex.org/I200769079"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.46258357,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"6","first_page":"A3413","last_page":"A3440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.20669999718666077,"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"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.20669999718666077,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.18199999630451202,"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":0.1331000030040741,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eikonal-equation","display_name":"Eikonal equation","score":0.910099983215332},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6809999942779541},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6496999859809875},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.6060000061988831},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.5460000038146973},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.42570000886917114},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.42160001397132874},{"id":"https://openalex.org/keywords/fast-marching-method","display_name":"Fast marching method","score":0.3325999975204468}],"concepts":[{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.910099983215332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7958999872207642},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6809999942779541},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6496999859809875},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.6060000061988831},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5856000185012817},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.5460000038146973},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42570000886917114},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.42160001397132874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36500000953674316},{"id":"https://openalex.org/C17866373","wikidata":"https://www.wikidata.org/wiki/Q5437042","display_name":"Fast marching method","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.3147999942302704},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.3050999939441681},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.3021000027656555},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.29679998755455017},{"id":"https://openalex.org/C141595757","wikidata":"https://www.wikidata.org/wiki/Q649478","display_name":"Eikonal approximation","level":3,"score":0.29670000076293945},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.2522999942302704}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/25m172803x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/25m172803x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-167804","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-167804","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G249730385","display_name":null,"funder_award_id":"16300524","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G6827474996","display_name":null,"funder_award_id":"16302223","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G771438847","display_name":null,"funder_award_id":"2309534","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7864326514","display_name":null,"funder_award_id":"2152011","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"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W50490584","https://openalex.org/W1833114141","https://openalex.org/W1901253971","https://openalex.org/W1965062923","https://openalex.org/W1966501171","https://openalex.org/W1969381413","https://openalex.org/W1975738182","https://openalex.org/W1980251225","https://openalex.org/W1984697939","https://openalex.org/W1985569325","https://openalex.org/W1989131020","https://openalex.org/W1996204208","https://openalex.org/W1999199566","https://openalex.org/W1999690352","https://openalex.org/W2001860621","https://openalex.org/W2003009438","https://openalex.org/W2025550225","https://openalex.org/W2038796851","https://openalex.org/W2038988575","https://openalex.org/W2041371172","https://openalex.org/W2043546299","https://openalex.org/W2044236361","https://openalex.org/W2049391017","https://openalex.org/W2053364845","https://openalex.org/W2054113582","https://openalex.org/W2059110798","https://openalex.org/W2066880755","https://openalex.org/W2070744377","https://openalex.org/W2079578802","https://openalex.org/W2093834886","https://openalex.org/W2115118342","https://openalex.org/W2118755602","https://openalex.org/W2123996636","https://openalex.org/W2132003031","https://openalex.org/W2133558469","https://openalex.org/W2141409037","https://openalex.org/W2141519660","https://openalex.org/W2150198446","https://openalex.org/W2151288530","https://openalex.org/W2154018969","https://openalex.org/W2157204523","https://openalex.org/W2157670588","https://openalex.org/W2163478985","https://openalex.org/W2166050051","https://openalex.org/W2171798031","https://openalex.org/W2274041143","https://openalex.org/W2340328817","https://openalex.org/W2561843528","https://openalex.org/W2749408143","https://openalex.org/W2799925649","https://openalex.org/W2963283550","https://openalex.org/W3051700447","https://openalex.org/W3119332464","https://openalex.org/W4388705129","https://openalex.org/W4388817415","https://openalex.org/W4401171725"],"related_works":[],"abstract_inverted_index":{"We":[0],"propose":[1],"an":[2,46,171],"embedding":[3,28,207],"method":[4,29,176],"to":[5,49,66,116,132,160,181],"solve":[6,89],"the":[7,51,56,69,72,82,86,90,96,118,122,142,148,152,167,200],"eikonal":[8,39,52,77,168,184],"equation":[9,40,53,74,92,169],"on":[10,55,170,192],"implicit":[11,14,47,57,172,193],"surfaces,":[12],"where":[13],"surfaces":[15],"are":[16],"defined":[17,54,191],"by":[18],"signed":[19],"distance":[20],"functions.":[21],"Building":[22],"upon":[23],"a":[24,36,42,64],"recently":[25],"established":[26],"diffeomorphic":[27],"for":[30,166],"hyperbolic":[31],"conservation":[32],"laws,":[33],"we":[34,94,108],"introduce":[35,110],"novel":[37],"anisotropic":[38,76,183],"within":[41],"tubular":[43],"neighborhood":[44],"of":[45,71,75,85,151,204],"surface":[48],"approximate":[50],"surface.":[58,87,153,173],"Our":[59],"primary":[60],"contribution":[61],"lies":[62],"in":[63],"formulation":[65],"ensure":[67],"that":[68],"solution":[70],"Hamilton-Jacobi":[73,189],"type":[78],"remains":[79],"constant":[80],"along":[81,147],"normal":[83,149],"direction":[84,150],"To":[88],"resulting":[91],"numerically,":[93],"employ":[95],"Lax-":[97],"Friedrichs":[98],"based":[99],"high-order":[100,163],"weighted":[101],"essentially":[102],"nonoscillatory":[103],"fast":[104],"sweeping":[105],"method,":[106],"and":[107,196,202],"further":[109],"two":[111],"effective":[112],"singularity":[113,120,127],"factorization":[114,128,156],"approaches":[115],"address":[117],"upwind":[119],"near":[121],"point":[123],"source.":[124],"While":[125],"standard":[126],"formulations":[129],"apply":[130],"only":[131],"point-source":[133],"singularities,":[134],"our":[135,175,205],"new":[136,155,206],"methods":[137],"accommodate":[138],"line-source":[139],"singularities":[140],"when":[141],"boundary":[143],"condition":[144],"is":[145],"extended":[146,180],"These":[154],"strategies":[157],"enable":[158],"us":[159],"compute":[161],"uniformly":[162],"accurate":[164],"solutions":[165],"Furthermore,":[174],"can":[177],"be":[178],"readily":[179],"handle":[182],"equations":[185,190],"or":[186],"general":[187],"static":[188],"surfaces.":[194],"Two-":[195],"three-dimensional":[197],"examples":[198],"demonstrate":[199],"accuracy":[201],"efficiency":[203],"method.":[208]},"counts_by_year":[],"updated_date":"2025-11-28T10:12:18.413594","created_date":"2025-11-10T00:00:00"}
