{"id":"https://openalex.org/W2129261057","doi":"https://doi.org/10.1007/s10208-014-9230-z","title":"Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements","display_name":"Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements","publication_year":2014,"publication_date":"2014-10-09","ids":{"openalex":"https://openalex.org/W2129261057","doi":"https://doi.org/10.1007/s10208-014-9230-z","mag":"2129261057"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-014-9230-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-014-9230-z","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.11850/96917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023888160","display_name":"Philipp Grohs","orcid":"https://orcid.org/0000-0001-9205-0969"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Philipp Grohs","raw_affiliation_strings":["Zurich, Switzerland",", Zurich, Switzerland#TAB#"],"affiliations":[{"raw_affiliation_string":"Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":", Zurich, Switzerland#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042691754","display_name":"Hanne Hardering","orcid":"https://orcid.org/0009-0002-8173-7807"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hanne Hardering","raw_affiliation_strings":["Zurich, Switzerland",", Zurich, Switzerland#TAB#"],"affiliations":[{"raw_affiliation_string":"Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":", Zurich, Switzerland#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082524584","display_name":"Oliver Sander","orcid":"https://orcid.org/0000-0003-1093-6374"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oliver Sander","raw_affiliation_strings":["Zurich, Switzerland",", Zurich, Switzerland#TAB#"],"affiliations":[{"raw_affiliation_string":"Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":", Zurich, Switzerland#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023888160"],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.7923,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.96459666,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"6","first_page":"1357","last_page":"1411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9836000204086304,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9836000204086304,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9154000282287598,"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"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9153000116348267,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.8988219499588013},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6682469248771667},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6525368094444275},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.5620863437652588},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5244569778442383},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.49852442741394043},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.48428434133529663},{"id":"https://openalex.org/keywords/function-space","display_name":"Function space","score":0.47533392906188965},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4750024080276489},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4560854136943817},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4472792148590088},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4322613775730133},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4239412248134613}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8988219499588013},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6682469248771667},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6525368094444275},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.5620863437652588},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5244569778442383},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.49852442741394043},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.48428434133529663},{"id":"https://openalex.org/C142730499","wikidata":"https://www.wikidata.org/wiki/Q934367","display_name":"Function space","level":2,"score":0.47533392906188965},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4750024080276489},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4560854136943817},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4472792148590088},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4322613775730133},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4239412248134613},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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":5,"locations":[{"id":"doi:10.1007/s10208-014-9230-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-014-9230-z","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doc.rero.ch:331261","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:publications.rwth-aachen.de:230467","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/230467","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Aachen : RWTH Aachen, Institut f\u00fcr Geometrie und Praktische Mathematik, Bericht/ Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH Aachen 365, 39 S. (2013).","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/96917","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/96917","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Foundations of Computational Mathematics, 15 (6)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"doi:10.3929/ethz-b-000096917","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000096917","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/96917","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/96917","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Foundations of Computational Mathematics, 15 (6)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":84,"referenced_works":["https://openalex.org/W35702053","https://openalex.org/W63894421","https://openalex.org/W108975978","https://openalex.org/W129017765","https://openalex.org/W222993076","https://openalex.org/W1492844808","https://openalex.org/W1512985645","https://openalex.org/W1522579744","https://openalex.org/W1522722022","https://openalex.org/W1525296983","https://openalex.org/W1526694294","https://openalex.org/W1545096023","https://openalex.org/W1553707579","https://openalex.org/W1569061876","https://openalex.org/W1804110266","https://openalex.org/W1973652817","https://openalex.org/W1974228548","https://openalex.org/W1976406204","https://openalex.org/W1979710921","https://openalex.org/W1982954645","https://openalex.org/W1983496390","https://openalex.org/W1986578548","https://openalex.org/W1995506626","https://openalex.org/W1998547012","https://openalex.org/W1999212791","https://openalex.org/W2001133651","https://openalex.org/W2001669569","https://openalex.org/W2006571925","https://openalex.org/W2007311024","https://openalex.org/W2015660465","https://openalex.org/W2017587562","https://openalex.org/W2019798593","https://openalex.org/W2036881824","https://openalex.org/W2037613906","https://openalex.org/W2041523977","https://openalex.org/W2043901952","https://openalex.org/W2044060118","https://openalex.org/W2050448823","https://openalex.org/W2059640215","https://openalex.org/W2060941163","https://openalex.org/W2080027320","https://openalex.org/W2081634079","https://openalex.org/W2083465113","https://openalex.org/W2084946996","https://openalex.org/W2084966478","https://openalex.org/W2087755793","https://openalex.org/W2090761804","https://openalex.org/W2096610373","https://openalex.org/W2107979229","https://openalex.org/W2109409043","https://openalex.org/W2117247749","https://openalex.org/W2121120710","https://openalex.org/W2124673822","https://openalex.org/W2125609862","https://openalex.org/W2125883408","https://openalex.org/W2128931829","https://openalex.org/W2137994890","https://openalex.org/W2146766088","https://openalex.org/W2147365621","https://openalex.org/W2152394501","https://openalex.org/W2155910912","https://openalex.org/W2163495289","https://openalex.org/W2185805059","https://openalex.org/W2199169705","https://openalex.org/W2231872218","https://openalex.org/W2273581105","https://openalex.org/W2328359600","https://openalex.org/W2329522476","https://openalex.org/W2334493726","https://openalex.org/W2339184547","https://openalex.org/W2907535527","https://openalex.org/W2934526567","https://openalex.org/W2967650085","https://openalex.org/W3014833090","https://openalex.org/W3038420293","https://openalex.org/W4205293427","https://openalex.org/W4206033904","https://openalex.org/W4230748309","https://openalex.org/W4242771523","https://openalex.org/W4243302541","https://openalex.org/W4254683450","https://openalex.org/W4285719527","https://openalex.org/W4292082790","https://openalex.org/W4298876635"],"related_works":["https://openalex.org/W1977009394","https://openalex.org/W2037877521","https://openalex.org/W4245643755","https://openalex.org/W2406991581","https://openalex.org/W3177435732","https://openalex.org/W2053651096","https://openalex.org/W2952050136","https://openalex.org/W193453657","https://openalex.org/W2145370608","https://openalex.org/W2783445856"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
