{"id":"https://openalex.org/W4406106526","doi":"https://doi.org/10.1137/23m1546178","title":"Sharp Preasymptotic Error Bounds for the Helmholtz \\(\\boldsymbol{h}\\)-FEM","display_name":"Sharp Preasymptotic Error Bounds for the Helmholtz \\(\\boldsymbol{h}\\)-FEM","publication_year":2025,"publication_date":"2025-01-06","ids":{"openalex":"https://openalex.org/W4406106526","doi":"https://doi.org/10.1137/23m1546178"},"language":"en","primary_location":{"id":"doi:10.1137/23m1546178","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1546178","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5025891836","display_name":"Jeffrey Galkowski","orcid":null},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"J. Galkowski","raw_affiliation_strings":["Department of Mathematics, University College London, London, WC1H 0AY, UK"],"raw_orcid":"https://orcid.org/0000-0001-5228-4998","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, London, WC1H 0AY, UK","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083248653","display_name":"Euan A. Spence","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"E. A. Spence","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK"],"raw_orcid":"https://orcid.org/0000-0003-1236-4592","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025891836"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":null,"apc_paid":null,"fwci":6.8867,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.9709192,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"63","issue":"1","first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8838295936584473},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5705975294113159},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5054519176483154},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.4762994349002838},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4522358775138855},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38033562898635864},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32125723361968994},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.08379518985748291},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.07496139407157898},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05626592040061951}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8838295936584473},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5705975294113159},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5054519176483154},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.4762994349002838},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4522358775138855},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38033562898635864},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32125723361968994},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.08379518985748291},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.07496139407157898},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05626592040061951},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1546178","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1546178","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1847181937","display_name":"At the interface between semiclassical analysis and numerical analysis of wave propagation problems","funder_award_id":"EP/R005591/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3479095018","display_name":null,"funder_award_id":"EP/V051636/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4242019260","display_name":"High energy spectral and scattering phenomena via microlocal analysis","funder_award_id":"EP/V001760/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5497426043","display_name":"Novel Phenomena in Steklov Type Problems","funder_award_id":"EP/V051636/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W177735991","https://openalex.org/W1498729261","https://openalex.org/W1504642953","https://openalex.org/W1602383637","https://openalex.org/W1889079046","https://openalex.org/W1970622200","https://openalex.org/W1976538983","https://openalex.org/W1977794655","https://openalex.org/W2003803951","https://openalex.org/W2004475615","https://openalex.org/W2026170640","https://openalex.org/W2029342920","https://openalex.org/W2029966922","https://openalex.org/W2037092148","https://openalex.org/W2039139026","https://openalex.org/W2087828859","https://openalex.org/W2115850109","https://openalex.org/W2117866703","https://openalex.org/W2285082673","https://openalex.org/W2338955318","https://openalex.org/W2592456637","https://openalex.org/W2795744704","https://openalex.org/W2909834897","https://openalex.org/W2943167654","https://openalex.org/W2945655205","https://openalex.org/W2962912871","https://openalex.org/W3009935049","https://openalex.org/W3041134036","https://openalex.org/W3091748925","https://openalex.org/W3106381385","https://openalex.org/W3130307322","https://openalex.org/W3160675600","https://openalex.org/W3204708751","https://openalex.org/W3208590247","https://openalex.org/W4293568152","https://openalex.org/W4294959002"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2092968426","https://openalex.org/W2540416959","https://openalex.org/W2038541754","https://openalex.org/W2067763583","https://openalex.org/W2055836843","https://openalex.org/W4365420316","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3120022531"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
