{"id":"https://openalex.org/W2550268021","doi":"https://doi.org/10.1007/978-3-319-39929-4_20","title":"Discontinuous and Enriched Galerkin Methods for Phase-Field Fracture Propagation in Elasticity","display_name":"Discontinuous and Enriched Galerkin Methods for Phase-Field Fracture Propagation in Elasticity","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2550268021","doi":"https://doi.org/10.1007/978-3-319-39929-4_20","mag":"2550268021"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-39929-4_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-39929-4_20","pdf_url":null,"source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"},"type":"book-chapter","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/A5057678600","display_name":"Prashant Mital","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Prashant Mital","raw_affiliation_strings":["ICES, University of Texas at Austin, Austin, TX, 78712, USA"],"affiliations":[{"raw_affiliation_string":"ICES, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010756889","display_name":"Thomas Wick","orcid":"https://orcid.org/0000-0002-1102-6332"},"institutions":[{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"funder","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Thomas Wick","raw_affiliation_strings":["RICAM, Austrian Academy of Sciences, Altenberger Str. 69, 4040, Linz, Austria"],"affiliations":[{"raw_affiliation_string":"RICAM, Austrian Academy of Sciences, Altenberger Str. 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003120570","display_name":"Mary F. Wheeler","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mary F. Wheeler","raw_affiliation_strings":["ICES, University of Texas at Austin, Austin, TX, 78712, USA"],"affiliations":[{"raw_affiliation_string":"ICES, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038648721","display_name":"Gergina Pencheva","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gergina Pencheva","raw_affiliation_strings":["ICES, University of Texas at Austin, Austin, TX, 78712, USA"],"affiliations":[{"raw_affiliation_string":"ICES, University of Texas at Austin, Austin, TX, 78712, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010756889"],"corresponding_institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"],"apc_list":null,"apc_paid":null,"fwci":2.9668,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.92046396,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"195","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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":1.0,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9958999752998352,"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/discretization","display_name":"Discretization","score":0.7587447166442871},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6914185881614685},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6612169742584229},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6310984492301941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5109854936599731},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.48271533846855164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4555588364601135},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.4440048635005951},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.4267844259738922},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3649106025695801},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2699418067932129},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.267187237739563},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1902020275592804}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7587447166442871},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6914185881614685},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6612169742584229},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6310984492301941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5109854936599731},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.48271533846855164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4555588364601135},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.4440048635005951},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.4267844259738922},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3649106025695801},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2699418067932129},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.267187237739563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1902020275592804},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-39929-4_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-39929-4_20","pdf_url":null,"source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5099999904632568,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W140909251","https://openalex.org/W148206876","https://openalex.org/W1967070136","https://openalex.org/W1996486047","https://openalex.org/W2006078294","https://openalex.org/W2029521502","https://openalex.org/W2043784721","https://openalex.org/W2045827210","https://openalex.org/W2049689581","https://openalex.org/W2058549403","https://openalex.org/W2102096503","https://openalex.org/W2105965900","https://openalex.org/W2114207581","https://openalex.org/W2170133891","https://openalex.org/W4233665781","https://openalex.org/W4239097771"],"related_works":["https://openalex.org/W2015060724","https://openalex.org/W2919324478","https://openalex.org/W623557396","https://openalex.org/W2130120519","https://openalex.org/W2058578573","https://openalex.org/W1995052494","https://openalex.org/W2162026849","https://openalex.org/W2064704422","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}