{"id":"https://openalex.org/W1977539559","doi":"https://doi.org/10.1137/100785181","title":"A Weak Formulation of the Immersed Boundary Method","display_name":"A Weak Formulation of the Immersed Boundary Method","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1977539559","doi":"https://doi.org/10.1137/100785181","mag":"1977539559"},"language":"en","primary_location":{"id":"doi:10.1137/100785181","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100785181","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5006629247","display_name":"Edward Givelberg","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Edward Givelberg","raw_affiliation_strings":["givelberg@jhu.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"givelberg@jhu.edu#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5006629247"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06640816,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"2","first_page":"A1010","last_page":"A1026"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":1.0,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":1.0,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9936000108718872,"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/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9936000108718872,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.779589056968689},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.768612265586853},{"id":"https://openalex.org/keywords/immersed-boundary-method","display_name":"Immersed boundary method","score":0.6624405980110168},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6393921971321106},{"id":"https://openalex.org/keywords/dirac-delta-function","display_name":"Dirac delta function","score":0.6168578267097473},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5634223222732544},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5397096872329712},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.48157572746276855},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.4588004946708679},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4306567907333374},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2571362853050232},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11319896578788757}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.779589056968689},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.768612265586853},{"id":"https://openalex.org/C121704545","wikidata":"https://www.wikidata.org/wiki/Q11425899","display_name":"Immersed boundary method","level":3,"score":0.6624405980110168},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6393921971321106},{"id":"https://openalex.org/C54486999","wikidata":"https://www.wikidata.org/wiki/Q209675","display_name":"Dirac delta function","level":2,"score":0.6168578267097473},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5634223222732544},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5397096872329712},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.48157572746276855},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4588004946708679},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4306567907333374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2571362853050232},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11319896578788757}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100785181","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100785181","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W106128971","https://openalex.org/W1982558826","https://openalex.org/W1992271632","https://openalex.org/W1992486632","https://openalex.org/W1997172832","https://openalex.org/W2003215036","https://openalex.org/W2026749842","https://openalex.org/W2033650275","https://openalex.org/W2040446997","https://openalex.org/W2044602433","https://openalex.org/W2077059423","https://openalex.org/W2084131634","https://openalex.org/W2087274883","https://openalex.org/W2092284897","https://openalex.org/W2143063846","https://openalex.org/W2145851836","https://openalex.org/W2164965612","https://openalex.org/W2166957052","https://openalex.org/W3021622851","https://openalex.org/W3121156890"],"related_works":["https://openalex.org/W3197246768","https://openalex.org/W3096392237","https://openalex.org/W2186042614","https://openalex.org/W2159068556","https://openalex.org/W1755789682","https://openalex.org/W2259929925","https://openalex.org/W4242990974","https://openalex.org/W1884395684","https://openalex.org/W2201398199","https://openalex.org/W1977539559"],"abstract_inverted_index":{"A":[0],"new":[1,108,118],"method":[2,93,114],"of":[3,21,32,37,75,88,91,98],"spatial":[4],"discretization":[5],"for":[6],"immersed":[7,77,102,112],"boundary":[8,78,103,113],"computations":[9],"is":[10,94],"introduced.":[11],"Fluid":[12],"velocity":[13,40],"and":[14,115,120],"pressure":[15],"are":[16,65],"obtained":[17],"as":[18],"weak":[19],"solutions":[20],"the":[22,38,53,62,68,73,76,86,99,111],"discretized":[23,63],"fluid":[24,39],"equations":[25,64],"with":[26],"respect":[27],"to":[28,45,48,52,117],"a":[29,58],"wavelet":[30],"basis":[31,41],"functions.":[33],"The":[34],"scaling":[35],"function":[36],"may":[42],"be":[43,46],"chosen":[44],"identical":[47],"Peskin's":[49],"discrete":[50],"approximation":[51],"Dirac":[54],"delta":[55],"function.":[56],"On":[57],"regular":[59],"rectangular":[60],"grid":[61],"solved":[66],"using":[67],"fast":[69],"Fourier":[70],"transform,":[71],"retaining":[72],"efficiency":[74],"method.":[79,104],"We":[80],"show":[81],"experimental":[82],"numerical":[83],"evidence":[84],"that":[85,97],"rate":[87],"volume":[89],"loss":[90],"our":[92],"better":[95],"than":[96],"finite":[100],"difference":[101],"Our":[105],"formulation":[106],"offers":[107],"insights":[109],"into":[110],"leads":[116],"extensions":[119],"applications.":[121]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}