{"id":"https://openalex.org/W2028402684","doi":"https://doi.org/10.1137/090772241","title":"Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise","display_name":"Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2028402684","doi":"https://doi.org/10.1137/090772241","mag":"2028402684"},"language":"en","primary_location":{"id":"doi:10.1137/090772241","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090772241","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":true,"oa_status":"green","oa_url":"http://publications.lib.chalmers.se/records/fulltext/local_120332.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014553776","display_name":"Mih\u00e1ly Kov\u00e1cs","orcid":"https://orcid.org/0000-0001-7977-9114"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mih\u00e1ly Kov\u00e1cs","raw_affiliation_strings":["mkovacs@maths.otago.ac.nz#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"mkovacs@maths.otago.ac.nz#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043425034","display_name":"Stig Larsson","orcid":"https://orcid.org/0000-0003-3291-3456"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Stig Larsson","raw_affiliation_strings":["stig@chalmers.se and fardin@chalmers.se#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"stig@chalmers.se and fardin@chalmers.se#TAB#","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087480946","display_name":"Fardin Saedpanah","orcid":"https://orcid.org/0000-0002-1273-4963"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Fardin Saedpanah","raw_affiliation_strings":["Chalmers University of Technology;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chalmers University of Technology;","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.2993,"has_fulltext":true,"cited_by_count":87,"citation_normalized_percentile":{"value":0.96921758,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"48","issue":"2","first_page":"408","last_page":"427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9325000047683716,"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/mathematics","display_name":"Mathematics","score":0.8616450428962708},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6106602549552917},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6005471348762512},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5891823172569275},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5802909731864929},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5067148804664612},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.48123979568481445},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.43163591623306274},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic approximation","score":0.4225423336029053},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41087979078292847}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8616450428962708},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6106602549552917},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6005471348762512},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5891823172569275},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5802909731864929},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5067148804664612},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.48123979568481445},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.43163591623306274},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.4225423336029053},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41087979078292847},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/090772241","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090772241","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"},{"id":"pmh:oai:research.chalmers.se:120332","is_oa":true,"landing_page_url":"https://research.chalmers.se/en/publication/120332","pdf_url":"http://publications.lib.chalmers.se/records/fulltext/local_120332.pdf","source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"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:CiteSeerX.psu:10.1.1.528.1695","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.528.1695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.chalmers.se/~stig/papers/swe1.pdf","raw_type":"text"},{"id":"pmh:oai:publications.lib.chalmers.se:120332","is_oa":false,"landing_page_url":"http://publications.lib.chalmers.se/publication/120332-finite-element-approximation-of-the-linear-stochastic-wave-equation-with-additive-noise","pdf_url":null,"source":{"id":"https://openalex.org/S4377196470","display_name":"Chalmers Publication Library (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text.Article.Journal.PeerReviewed"},{"id":"pmh:oai:publications.lib.chalmers.se:94779","is_oa":false,"landing_page_url":"http://publications.lib.chalmers.se/publication/94779-finite-element-approximation-of-the-linear-stochastic-wave-equation-with-additive-noise","pdf_url":null,"source":{"id":"https://openalex.org/S4377196470","display_name":"Chalmers Publication Library (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text.Preprint"},{"id":"pmh:oai:research.chalmers.se:94779","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/94779","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:research.chalmers.se:120332","is_oa":true,"landing_page_url":"https://research.chalmers.se/en/publication/120332","pdf_url":"http://publications.lib.chalmers.se/records/fulltext/local_120332.pdf","source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320940","display_name":"Stiftelsen f\u00f6r\u00a0Strategisk Forskning","ror":"https://ror.org/044wr7g58"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2028402684.pdf","grobid_xml":"https://content.openalex.org/works/W2028402684.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W571221908","https://openalex.org/W594202426","https://openalex.org/W609699901","https://openalex.org/W1542004730","https://openalex.org/W1560209300","https://openalex.org/W1967323436","https://openalex.org/W1968339027","https://openalex.org/W1978697444","https://openalex.org/W1983111752","https://openalex.org/W1991395770","https://openalex.org/W1996832452","https://openalex.org/W2025872411","https://openalex.org/W2041422028","https://openalex.org/W2055031800","https://openalex.org/W2062993069","https://openalex.org/W2067549777","https://openalex.org/W2075042757","https://openalex.org/W2082621526","https://openalex.org/W2104642800","https://openalex.org/W2108867907","https://openalex.org/W2152361411","https://openalex.org/W2159841361","https://openalex.org/W2501086999"],"related_works":["https://openalex.org/W2380000090","https://openalex.org/W2949318565","https://openalex.org/W3166760307","https://openalex.org/W2062894808","https://openalex.org/W4280588605","https://openalex.org/W2374797863","https://openalex.org/W2954681826","https://openalex.org/W2100164385","https://openalex.org/W2383624407","https://openalex.org/W4298181152"],"abstract_inverted_index":{"Semidiscrete":[0],"finite":[1],"element":[2],"approximation":[3],"of":[4],"the":[5,24,42,60],"linear":[6],"stochastic":[7,43],"wave":[8],"equation":[9],"(LSWE)":[10],"with":[11],"additive":[12],"noise":[13],"is":[14],"studied":[15],"in":[16],"a":[17],"semigroup":[18],"framework.":[19],"Optimal":[20],"error":[21],"estimates":[22,40],"for":[23,41],"deterministic":[25],"problem":[26],"are":[27,34],"obtained":[28],"under":[29],"minimal":[30],"regularity":[31],"assumptions.":[32],"These":[33],"used":[35],"to":[36,50],"prove":[37],"strong":[38],"convergence":[39],"problem.":[44],"The":[45],"theory":[46],"presented":[47],"here":[48],"applies":[49],"multidimensional":[51],"domains":[52],"and":[53],"spatially":[54],"correlated":[55],"noise.":[56],"Numerical":[57],"examples":[58],"illustrate":[59],"theory.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
