{"id":"https://openalex.org/W2100831338","doi":"https://doi.org/10.2478/v10006-009-0002-x","title":"Optimal Internal Dissipation of a Damped Wave Equation Using a Topological Approach","display_name":"Optimal Internal Dissipation of a Damped Wave Equation Using a Topological Approach","publication_year":2009,"publication_date":"2009-03-01","ids":{"openalex":"https://openalex.org/W2100831338","doi":"https://doi.org/10.2478/v10006-009-0002-x","mag":"2100831338"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-009-0002-x","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-009-0002-x","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-009-0002-x","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-009-0002-x","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020369448","display_name":"Arnaud M\u00fcnch","orcid":null},"institutions":[{"id":"https://openalex.org/I4387152972","display_name":"Laboratoire de Math\u00e9matiques de Besan\u00e7on","ror":"https://ror.org/04nrhwg12","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387152972","https://openalex.org/I4405256580"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Arnaud M\u00fcnch","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques de Besan\u00e7on (UMR 6623)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques de Besan\u00e7on (UMR 6623)","institution_ids":["https://openalex.org/I4387152972"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020369448"],"corresponding_institution_ids":["https://openalex.org/I4387152972"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":1.5276,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85721306,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"1","first_page":"15","last_page":"38"},"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":0.3889999985694885,"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":0.3889999985694885,"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/T11115","display_name":"Topology Optimization in Engineering","score":0.17139999568462372,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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":0.10480000078678131,"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/dissipation","display_name":"Dissipation","score":0.7934381365776062},{"id":"https://openalex.org/keywords/damped-wave","display_name":"Damped wave","score":0.5135495662689209},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.48310089111328125},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4227117598056793},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.3677697479724884},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.367311954498291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32343292236328125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29711270332336426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2952035367488861},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09421789646148682}],"concepts":[{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.7934381365776062},{"id":"https://openalex.org/C66908091","wikidata":"https://www.wikidata.org/wiki/Q1127660","display_name":"Damped wave","level":3,"score":0.5135495662689209},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48310089111328125},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4227117598056793},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.3677697479724884},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.367311954498291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32343292236328125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29711270332336426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2952035367488861},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09421789646148682},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.2478/v10006-009-0002-x","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-009-0002-x","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-009-0002-x","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.9974","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.9974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc19/amc1912.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.703.9380","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.703.9380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.univ-bpclermont.fr/%7Emunch/OSDinmunch.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00482848v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00482848","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, 2009, 19 (1), pp.15-37","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:zbc.uz.zgora.pl:78747","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=78747","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=papers&issue=36","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-009-0002-x","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-009-0002-x","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-009-0002-x","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G766923599","display_name":null,"funder_award_id":"ANR-05","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2100831338.pdf","grobid_xml":"https://content.openalex.org/works/W2100831338.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W131879194","https://openalex.org/W175246081","https://openalex.org/W1491431295","https://openalex.org/W1965037088","https://openalex.org/W1965226838","https://openalex.org/W1989499876","https://openalex.org/W1991113069","https://openalex.org/W1995067704","https://openalex.org/W2002769214","https://openalex.org/W2005392512","https://openalex.org/W2008103464","https://openalex.org/W2016413885","https://openalex.org/W2026500470","https://openalex.org/W2031521898","https://openalex.org/W2057079595","https://openalex.org/W2063872107","https://openalex.org/W2065544645","https://openalex.org/W2093834886","https://openalex.org/W2094455930","https://openalex.org/W2094902084","https://openalex.org/W2105953118","https://openalex.org/W2132034927","https://openalex.org/W2147160809","https://openalex.org/W2159094357","https://openalex.org/W4237050880"],"related_works":["https://openalex.org/W2012012474","https://openalex.org/W2008597485","https://openalex.org/W1979846157","https://openalex.org/W3118977201","https://openalex.org/W1981200353","https://openalex.org/W1999624973","https://openalex.org/W2806501684","https://openalex.org/W2920286280","https://openalex.org/W3167333608","https://openalex.org/W2318289665"],"abstract_inverted_index":{"Optimal":[0],"Internal":[1],"Dissipation":[2],"of":[3,46,54,75,127,140,165],"a":[4,9,14,21,26,31,58,90,105,117],"Damped":[5],"Wave":[6],"Equation":[7],"Using":[8],"Topological":[10],"Approach":[11],"We":[12,34,111,131],"consider":[13,133],"linear":[15],"damped":[16],"wave":[17],"equation":[18,107],"defined":[19],"on":[20,93,116],"two-dimensional":[22],"domain":[23],"\u03a9,":[24],"with":[25,81,135],"dissipative":[27],"term":[28],"localized":[29],"in":[30,42,48,86,104,149],"subset":[32],"\u03c9.":[33,87],"address":[35],"the":[36,44,52,55,72,76,84,113,125,128,138,141,159,163,166],"shape":[37,45,109],"design":[38],"problem":[39],"which":[40,157],"consists":[41],"optimizing":[43],"\u03c9":[47],"order":[49],"to":[50,83,137,162],"minimize":[51],"energy":[53,77],"system":[56],"at":[57,78],"given":[59],"time":[60,79],"T":[61,80],".":[62],"By":[63],"introducing":[64],"an":[65,101],"adjoint":[66],"problem,":[67],"we":[68],"first":[69],"obtain":[70],"explicitly":[71],"(shape)":[73],"derivative":[74,96],"respect":[82,136],"variation":[85],"Expressed":[88],"as":[89,100,122,124],"boundary":[91],"integral":[92],"\u2202\u03c9,":[94],"this":[95],"is":[97,147],"then":[98],"used":[99],"advection":[102],"velocity":[103],"Hamilton-Jacobi":[106],"for":[108],"changes.":[110],"use":[112],"level-set":[114],"methodology":[115],"fixed":[118],"working":[119],"Eulerian":[120],"mesh":[121],"well":[123],"notion":[126],"topological":[129],"derivative.":[130],"also":[132],"optimization":[134],"value":[139],"damping":[142],"parameter.":[143],"The":[144],"numerical":[145,153],"approximation":[146],"presented":[148],"detail":[150],"and":[151],"several":[152],"experiments":[154],"are":[155],"performed":[156],"relate":[158],"over-damping":[160],"phenomenon":[161],"well-posedness":[164],"problem.":[167]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}