{"id":"https://openalex.org/W4413083660","doi":"https://doi.org/10.1137/24m1646406","title":"A Posteriori Error Control for the Allen\u2013Cahn Equation with Variable Mobility","display_name":"A Posteriori Error Control for the Allen\u2013Cahn Equation with Variable Mobility","publication_year":2025,"publication_date":"2025-07-17","ids":{"openalex":"https://openalex.org/W4413083660","doi":"https://doi.org/10.1137/24m1646406"},"language":"en","primary_location":{"id":"doi:10.1137/24m1646406","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1646406","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/A5041128387","display_name":"Aaron Brunk","orcid":"https://orcid.org/0000-0003-4987-2398"},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"A. Brunk","raw_affiliation_strings":["Institute of Mathematics, Johannes Gutenberg-University Mainz, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4987-2398","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Johannes Gutenberg-University Mainz, Germany","institution_ids":["https://openalex.org/I197323543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026383841","display_name":"Jan Giesselmann","orcid":"https://orcid.org/0009-0008-0217-7244"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Giesselmann","raw_affiliation_strings":["Department of Mathematics, TU Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TU Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077357327","display_name":"M\u00e1ria Luk\u00e1\u010dov\u00e1\u2013Medvid\u2019ov\u00e1","orcid":"https://orcid.org/0000-0002-4351-0161"},"institutions":[{"id":"https://openalex.org/I197323543","display_name":"Johannes Gutenberg University Mainz","ror":"https://ror.org/023b0x485","country_code":"DE","type":"education","lineage":["https://openalex.org/I197323543"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Luk\u00e1\u010dov\u00e1-Medviov\u00e1","raw_affiliation_strings":["Institute of Mathematics, Johannes Gutenberg-University Mainz, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4351-0161","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Johannes Gutenberg-University Mainz, Germany","institution_ids":["https://openalex.org/I197323543"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041128387"],"corresponding_institution_ids":["https://openalex.org/I197323543"],"apc_list":null,"apc_paid":null,"fwci":0.459,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62196211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"63","issue":"4","first_page":"1540","last_page":"1560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9814000129699707,"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"}},{"id":"https://openalex.org/T13463","display_name":"Nanoporous metals and alloys","score":0.9681000113487244,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7772197723388672},{"id":"https://openalex.org/keywords/allen\u2013cahn-equation","display_name":"Allen\u2013Cahn equation","score":0.7637366056442261},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6588231921195984},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5620647668838501},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49801087379455566},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25612038373947144}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7772197723388672},{"id":"https://openalex.org/C2777166216","wikidata":"https://www.wikidata.org/wiki/Q4732089","display_name":"Allen\u2013Cahn equation","level":2,"score":0.7637366056442261},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6588231921195984},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5620647668838501},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49801087379455566},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25612038373947144},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1646406","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1646406","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":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1992653553","display_name":null,"funder_award_id":"441153493","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3942947494","display_name":null,"funder_award_id":"233630050","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5575399030","display_name":null,"funder_award_id":"525800857","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6134120925","display_name":null,"funder_award_id":"525866748","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W418503264","https://openalex.org/W1525219438","https://openalex.org/W1966584387","https://openalex.org/W1973664641","https://openalex.org/W1982199944","https://openalex.org/W1986076006","https://openalex.org/W1986901667","https://openalex.org/W2007801959","https://openalex.org/W2008209583","https://openalex.org/W2017452461","https://openalex.org/W2040531056","https://openalex.org/W2041001120","https://openalex.org/W2047626766","https://openalex.org/W2050969603","https://openalex.org/W2052133064","https://openalex.org/W2062245988","https://openalex.org/W2066385667","https://openalex.org/W2074006304","https://openalex.org/W2079028266","https://openalex.org/W2082187902","https://openalex.org/W2092070210","https://openalex.org/W2152498898","https://openalex.org/W2507484451","https://openalex.org/W2598706264","https://openalex.org/W2740439779","https://openalex.org/W2908285955","https://openalex.org/W2914422894","https://openalex.org/W2984583394","https://openalex.org/W3088642493","https://openalex.org/W3092325308","https://openalex.org/W4281665532"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W3137869026"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-12-19T19:40:27.379048","created_date":"2025-10-10T00:00:00"}