{"id":"https://openalex.org/W4367679945","doi":"https://doi.org/10.1007/s10444-023-10027-1","title":"Numerical exponential decay of thermoelastic waves connected in parallel","display_name":"Numerical exponential decay of thermoelastic waves connected in parallel","publication_year":2023,"publication_date":"2023-05-02","ids":{"openalex":"https://openalex.org/W4367679945","doi":"https://doi.org/10.1007/s10444-023-10027-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-023-10027-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-023-10027-1","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5091147073","display_name":"A. J. A. Ramos","orcid":"https://orcid.org/0000-0002-2803-3248"},"institutions":[{"id":"https://openalex.org/I59606676","display_name":"Universidade Federal do Par\u00e1","ror":"https://ror.org/03q9sr818","country_code":"BR","type":"education","lineage":["https://openalex.org/I59606676"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"A. J. A. Ramos","raw_affiliation_strings":["Faculty of Mathematics, Federal University of Par\u00e1, Raimundo Santana Street s/n, Salin\u00f3polis, 68721-000, PA, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-2803-3248","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Federal University of Par\u00e1, Raimundo Santana Street s/n, Salin\u00f3polis, 68721-000, PA, Brazil","institution_ids":["https://openalex.org/I59606676"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032511381","display_name":"A. D. S. Campelo","orcid":"https://orcid.org/0000-0002-3779-4612"},"institutions":[{"id":"https://openalex.org/I59606676","display_name":"Universidade Federal do Par\u00e1","ror":"https://ror.org/03q9sr818","country_code":"BR","type":"education","lineage":["https://openalex.org/I59606676"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"A. D. S. Campelo","raw_affiliation_strings":["Program in Mathematics, Federal University of Par\u00e1, Augusto Corr\u00eaa Street 01, Bel\u00e9m, 66075-110, PA, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Program in Mathematics, Federal University of Par\u00e1, Augusto Corr\u00eaa Street 01, Bel\u00e9m, 66075-110, PA, Brazil","institution_ids":["https://openalex.org/I59606676"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000918643","display_name":"D. S. Almeida J\u00fanior","orcid":"https://orcid.org/0000-0002-0009-7290"},"institutions":[{"id":"https://openalex.org/I59606676","display_name":"Universidade Federal do Par\u00e1","ror":"https://ror.org/03q9sr818","country_code":"BR","type":"education","lineage":["https://openalex.org/I59606676"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"D. S. Almeida J\u00fanior","raw_affiliation_strings":["Program in Mathematics, Federal University of Par\u00e1, Augusto Corr\u00eaa Street 01, Bel\u00e9m, 66075-110, PA, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Program in Mathematics, Federal University of Par\u00e1, Augusto Corr\u00eaa Street 01, Bel\u00e9m, 66075-110, PA, Brazil","institution_ids":["https://openalex.org/I59606676"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025694557","display_name":"Mirelson M. Freitas","orcid":"https://orcid.org/0000-0001-6942-3931"},"institutions":[{"id":"https://openalex.org/I59606676","display_name":"Universidade Federal do Par\u00e1","ror":"https://ror.org/03q9sr818","country_code":"BR","type":"education","lineage":["https://openalex.org/I59606676"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"M. M. Freitas","raw_affiliation_strings":["Faculty of Mathematics, Federal University of Par\u00e1, Raimundo Santana Street s/n, Salin\u00f3polis, 68721-000, PA, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Federal University of Par\u00e1, Raimundo Santana Street s/n, Salin\u00f3polis, 68721-000, PA, Brazil","institution_ids":["https://openalex.org/I59606676"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006713010","display_name":"R. C. Barbosa","orcid":null},"institutions":[{"id":"https://openalex.org/I59606676","display_name":"Universidade Federal do Par\u00e1","ror":"https://ror.org/03q9sr818","country_code":"BR","type":"education","lineage":["https://openalex.org/I59606676"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"R. C. Barbosa","raw_affiliation_strings":["Program in Mathematics, Federal University of Par\u00e1, Augusto Corr\u00eaa Street 01, Bel\u00e9m, 66075-110, PA, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Program in Mathematics, Federal University of Par\u00e1, Augusto Corr\u00eaa Street 01, Bel\u00e9m, 66075-110, PA, Brazil","institution_ids":["https://openalex.org/I59606676"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5091147073"],"corresponding_institution_ids":["https://openalex.org/I59606676"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.538,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63925302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"49","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9993000030517578,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9966999888420105,"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/thermoelastic-damping","display_name":"Thermoelastic damping","score":0.8118377923965454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7717677354812622},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6648057699203491},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6178274750709534},{"id":"https://openalex.org/keywords/heat-equation","display_name":"Heat equation","score":0.6042575240135193},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5458231568336487},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.49126237630844116},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47073471546173096},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45930445194244385},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.43768852949142456},{"id":"https://openalex.org/keywords/thermal","display_name":"Thermal","score":0.11298707127571106},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09345507621765137}],"concepts":[{"id":"https://openalex.org/C92458943","wikidata":"https://www.wikidata.org/wiki/Q7783171","display_name":"Thermoelastic damping","level":3,"score":0.8118377923965454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7717677354812622},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6648057699203491},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6178274750709534},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.6042575240135193},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5458231568336487},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.49126237630844116},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47073471546173096},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45930445194244385},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.43768852949142456},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.11298707127571106},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09345507621765137},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-023-10027-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-023-10027-1","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G1528908352","display_name":null,"funder_award_id":"310729/2019-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G2315710859","display_name":null,"funder_award_id":"313081/2021-2","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G773158820","display_name":null,"funder_award_id":"314273/2020-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W204590318","https://openalex.org/W1495844786","https://openalex.org/W1527296550","https://openalex.org/W1972663046","https://openalex.org/W1975230327","https://openalex.org/W1984113060","https://openalex.org/W1993726123","https://openalex.org/W2000761434","https://openalex.org/W2009792178","https://openalex.org/W2025447499","https://openalex.org/W2026531204","https://openalex.org/W2029118275","https://openalex.org/W2050241094","https://openalex.org/W2063628604","https://openalex.org/W2071007460","https://openalex.org/W2075962318","https://openalex.org/W2077291986","https://openalex.org/W2081215390","https://openalex.org/W2084500792","https://openalex.org/W2092415104","https://openalex.org/W2120639374","https://openalex.org/W2136211017","https://openalex.org/W2172275727","https://openalex.org/W2524395726","https://openalex.org/W2526678668","https://openalex.org/W2793210901","https://openalex.org/W2895648851","https://openalex.org/W2961618089","https://openalex.org/W3149184579","https://openalex.org/W4213178929","https://openalex.org/W4234936370","https://openalex.org/W4299150230"],"related_works":["https://openalex.org/W4234788860","https://openalex.org/W2286968803","https://openalex.org/W1976964087","https://openalex.org/W2362811170","https://openalex.org/W4298181152","https://openalex.org/W4381378370","https://openalex.org/W4292134160","https://openalex.org/W2354909503","https://openalex.org/W2608720873","https://openalex.org/W2489056032"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-01-21T23:30:37.877113","created_date":"2025-10-10T00:00:00"}
