{"id":"https://openalex.org/W2015247199","doi":"https://doi.org/10.1007/s00211-014-0667-4","title":"Symplectic-mixed finite element approximation of linear acoustic wave equations","display_name":"Symplectic-mixed finite element approximation of linear acoustic wave equations","publication_year":2014,"publication_date":"2014-10-23","ids":{"openalex":"https://openalex.org/W2015247199","doi":"https://doi.org/10.1007/s00211-014-0667-4","mag":"2015247199"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0667-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0667-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5018380170","display_name":"Robert C. Kirby","orcid":"https://orcid.org/0009-0009-9663-8394"},"institutions":[{"id":"https://openalex.org/I157394403","display_name":"Baylor University","ror":"https://ror.org/005781934","country_code":"US","type":"education","lineage":["https://openalex.org/I157394403"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert C. Kirby","raw_affiliation_strings":["Department of Mathematics, Baylor University, One Bear Place #97328, PO Box 1042, Waco, TX, 76798-7328, USA","Department of Mathematics, Baylor University, Waco, USA 76798-7328#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Baylor University, One Bear Place #97328, PO Box 1042, Waco, TX, 76798-7328, USA","institution_ids":["https://openalex.org/I157394403"]},{"raw_affiliation_string":"Department of Mathematics, Baylor University, Waco, USA 76798-7328#TAB#","institution_ids":["https://openalex.org/I157394403"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006137793","display_name":"Thinh Kieu","orcid":"https://orcid.org/0000-0002-6703-5326"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thinh Tri Kieu","raw_affiliation_strings":["Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, 79409, USA","Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA 79409#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, 79409, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA 79409#TAB#","institution_ids":["https://openalex.org/I12315562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018380170"],"corresponding_institution_ids":["https://openalex.org/I157394403"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6431,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.68902409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"130","issue":"2","first_page":"257","last_page":"291"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9945999979972839,"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":0.831575334072113},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.767386794090271},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6339313983917236},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.5689386129379272},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5451908707618713},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.525912880897522},{"id":"https://openalex.org/keywords/semi-implicit-euler-method","display_name":"Semi-implicit Euler method","score":0.4867572784423828},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.48516637086868286},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46658024191856384},{"id":"https://openalex.org/keywords/acoustic-wave-equation","display_name":"Acoustic wave equation","score":0.4651997983455658},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.45343509316444397},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.45244166254997253},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4335371255874634},{"id":"https://openalex.org/keywords/acoustic-wave","display_name":"Acoustic wave","score":0.22839054465293884},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08830294013023376},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07143893837928772}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.831575334072113},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.767386794090271},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6339313983917236},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.5689386129379272},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5451908707618713},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.525912880897522},{"id":"https://openalex.org/C93082080","wikidata":"https://www.wikidata.org/wiki/Q5475314","display_name":"Semi-implicit Euler method","level":4,"score":0.4867572784423828},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.48516637086868286},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46658024191856384},{"id":"https://openalex.org/C145589544","wikidata":"https://www.wikidata.org/wiki/Q4674723","display_name":"Acoustic wave equation","level":3,"score":0.4651997983455658},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.45343509316444397},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.45244166254997253},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4335371255874634},{"id":"https://openalex.org/C204723758","wikidata":"https://www.wikidata.org/wiki/Q3882459","display_name":"Acoustic wave","level":2,"score":0.22839054465293884},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08830294013023376},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07143893837928772},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0667-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0667-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W73123583","https://openalex.org/W136185420","https://openalex.org/W145359363","https://openalex.org/W162238331","https://openalex.org/W1492326914","https://openalex.org/W1510254751","https://openalex.org/W1544770838","https://openalex.org/W1597327602","https://openalex.org/W1852082788","https://openalex.org/W1977131073","https://openalex.org/W1983017600","https://openalex.org/W2005892244","https://openalex.org/W2024054122","https://openalex.org/W2027293127","https://openalex.org/W2050338864","https://openalex.org/W2054882618","https://openalex.org/W2056908288","https://openalex.org/W2057980763","https://openalex.org/W2061172735","https://openalex.org/W2062618977","https://openalex.org/W2081530043","https://openalex.org/W2116226692","https://openalex.org/W2138486270","https://openalex.org/W2156755234","https://openalex.org/W2172016689","https://openalex.org/W2463898732","https://openalex.org/W2884826872","https://openalex.org/W2969232873","https://openalex.org/W3149667697","https://openalex.org/W3204708751","https://openalex.org/W4245654886"],"related_works":["https://openalex.org/W2009711572","https://openalex.org/W2963800366","https://openalex.org/W2365810470","https://openalex.org/W1674877062","https://openalex.org/W2501406218","https://openalex.org/W2805235704","https://openalex.org/W2060708838","https://openalex.org/W2039043967","https://openalex.org/W626094330","https://openalex.org/W2134248673"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
