{"id":"https://openalex.org/W2201685261","doi":"https://doi.org/10.4208/cicp.290113.220514a","title":"Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains","display_name":"Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains","publication_year":2014,"publication_date":"2014-10-08","ids":{"openalex":"https://openalex.org/W2201685261","doi":"https://doi.org/10.4208/cicp.290113.220514a","mag":"2201685261"},"language":"en","primary_location":{"id":"doi:10.4208/cicp.290113.220514a","doi":"https://doi.org/10.4208/cicp.290113.220514a","is_oa":false,"landing_page_url":"https://doi.org/10.4208/cicp.290113.220514a","pdf_url":null,"source":{"id":"https://openalex.org/S34010870","display_name":"Communications in Computational Physics","issn_l":"1815-2406","issn":["1815-2406","1991-7120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computational Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/servlets/purl/1224410","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008289430","display_name":"N. Anders Petersson","orcid":"https://orcid.org/0000-0003-0522-7872","observed_orcids":["https://orcid.org/0000-0003-0522-7872"]},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N. Anders Petersson","raw_affiliation_strings":["Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, United States","Center for Applied Scientific Computing, L-422, LLNL, P.O. Box 808, Livermore, CA 94551, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, United States","institution_ids":["https://openalex.org/I1282311441"]},{"raw_affiliation_string":"Center for Applied Scientific Computing, L-422, LLNL, P.O. Box 808, Livermore, CA 94551, USA","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087434173","display_name":"Bjorn A. Sjogreen","orcid":"https://orcid.org/0000-0002-0927-4329","observed_orcids":["https://orcid.org/0000-0002-0927-4329"]},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bj\u00f6rn Sj\u00f6green","raw_affiliation_strings":["Center for Applied Scientific Computing, L-422, LLNL, P.O. Box 808, Livermore, CA 94551, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Scientific Computing, L-422, LLNL, P.O. Box 808, Livermore, CA 94551, USA","institution_ids":["https://openalex.org/I1282311441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008289430","https://openalex.org/A5087434173"],"corresponding_institution_ids":["https://openalex.org/I1282311441"],"apc_list":null,"apc_paid":null,"fwci":3.6362,"has_fulltext":true,"cited_by_count":39,"citation_normalized_percentile":{"value":0.92547819,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"16","issue":"4","first_page":"913","last_page":"955"},"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":0.6571999788284302,"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":0.6571999788284302,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.2433999925851822,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.028300000354647636,"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/elastic-wave-equation","display_name":"elastic wave equation","score":0.9959999918937683},{"id":"https://openalex.org/keywords/sponge-layer","display_name":"sponge layer","score":0.9459999799728394},{"id":"https://openalex.org/keywords/coordinate-mapping","display_name":"coordinate mapping","score":0.753000020980835},{"id":"https://openalex.org/keywords/numerical-dissipation","display_name":"numerical dissipation","score":0.9670000076293945},{"id":"https://openalex.org/keywords/energy-estimation","display_name":"energy estimates","score":0.7129999995231628},{"id":"https://openalex.org/keywords/summation-by-parts","display_name":"summation by parts","score":0.7099999785423279},{"id":"https://openalex.org/keywords/fourth-order-finite-difference","display_name":"fourth-order finite difference","score":0.824999988079071},{"id":"https://openalex.org/keywords/free-surface-boundary-conditions","display_name":"free surface boundary conditions","score":0.8650000095367432},{"id":"https://openalex.org/keywords/lamb-s-problem","display_name":"Lamb's problem","score":0.8259999752044678},{"id":"https://openalex.org/keywords/layered-media","display_name":"layered media","score":0.609000027179718},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.7139999866485596}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6297248005867004},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5661923289299011},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5615320205688477},{"id":"https://openalex.org/C16895185","wikidata":"https://www.wikidata.org/wiki/Q15101726","display_name":"Perfectly matched layer","level":3,"score":0.5309051275253296},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5258068442344666},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5226773619651794},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5226542949676514},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47637125849723816},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4533703327178955},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45329731702804565},{"id":"https://openalex.org/C43173174","wikidata":"https://www.wikidata.org/wiki/Q2646942","display_name":"Regular grid","level":3,"score":0.44224855303764343},{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.44028618931770325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4348648488521576},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.43440717458724976},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3684026002883911},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4208/cicp.290113.220514a","doi":"https://doi.org/10.4208/cicp.290113.220514a","is_oa":false,"landing_page_url":"https://doi.org/10.4208/cicp.290113.220514a","pdf_url":null,"source":{"id":"https://openalex.org/S34010870","display_name":"Communications in Computational Physics","issn_l":"1815-2406","issn":["1815-2406","1991-7120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Computational Physics","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:1224410","doi":null,"is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1224410","pdf_url":"https://www.osti.gov/servlets/purl/1224410","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:1224410","doi":null,"is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1224410","pdf_url":"https://www.osti.gov/servlets/purl/1224410","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7799999713897705}],"study_designs":[],"awards":[{"id":"https://openalex.org/G1356433355","display_name":null,"funder_award_id":"DE\u2010AC5207NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G2145270357","display_name":null,"funder_award_id":"AC52\u201007NA27344","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3669113783","display_name":null,"funder_award_id":"07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G895790057","display_name":null,"funder_award_id":"DE-AC52","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"},{"id":"https://openalex.org/G991281326","display_name":null,"funder_award_id":"AC52-07NA27344","funder_id":"https://openalex.org/F4320338286","funder_display_name":"Lawrence Livermore National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338286","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2201685261.pdf","grobid_xml":"https://content.openalex.org/works/W2201685261.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1523615189","https://openalex.org/W1992332255","https://openalex.org/W2003017040","https://openalex.org/W2007212379","https://openalex.org/W2051465806","https://openalex.org/W2093203340","https://openalex.org/W2099891394","https://openalex.org/W2106785448","https://openalex.org/W2108334595","https://openalex.org/W2113972433","https://openalex.org/W2148506747","https://openalex.org/W2171338657","https://openalex.org/W2174605214","https://openalex.org/W2255239994","https://openalex.org/W2266980824","https://openalex.org/W2990322890","https://openalex.org/W3202528256","https://openalex.org/W4323253139"],"related_works":["https://openalex.org/W4318309706","https://openalex.org/W4280524986","https://openalex.org/W1963733554","https://openalex.org/W2330640442","https://openalex.org/W3143181698","https://openalex.org/W1988071029","https://openalex.org/W1965793258","https://openalex.org/W2143296655","https://openalex.org/W1975234065","https://openalex.org/W2056334836"],"abstract_inverted_index":{"We":[0,98,156,274],"develop":[1],"a":[2,40,45,51,65,81,109,124,141,166,244,269,292,298],"super-grid":[3,105,247],"modeling":[4,106,231],"technique":[5],"for":[6,119,205],"solving":[7],"the":[8,32,57,78,92,95,104,133,150,159,183,187,190,200,213,216,230,235,282,286],"elastic":[9,58],"wave":[10,59],"equation":[11,60],"in":[12,28,89,189,219,224,285,297],"semi-bounded":[13],"two-":[14],"and":[15,26,123,209],"three-dimensional":[16],"spatial":[17,136],"domains.":[18,221],"In":[19],"this":[20,36],"method,":[21,147],"waves":[22,71],"are":[23],"slowed":[24],"down":[25],"dissipated":[27],"sponge":[29],"layers":[30,90],"near":[31,91,199],"far-field":[33,184],"boundaries.":[34,185],"Mathematically,":[35],"is":[37,61,87,117,138,171,253,266],"equivalent":[38],"to":[39,50,108,280,291],"coordinate":[41,79],"mapping":[42],"that":[43,72,103,158,229],"transforms":[44],"very":[46,240],"large":[47],"physical":[48],"domain":[49,236],"significantly":[52],"smaller":[53],"computational":[54,96,207],"domain,":[55],"where":[56,262],"solved":[62],"numerically":[63],"on":[64,129,140],"regular":[66],"grid.":[67],"To":[68],"damp":[69],"out":[70],"become":[73],"poorly":[74],"resolved":[75],"because":[76],"of":[77,94,132,152,182,212,215,259],"mapping,":[80],"high":[82],"order":[83,143,264,271],"artificial":[84,272],"dissipation":[85],"operator":[86],"added":[88],"boundaries":[93],"domain.":[97,134],"prove":[99],"by":[100,154,242],"energy":[101,161],"estimates":[102],"leads":[107],"stable":[110],"numerical":[111,251,283],"method":[112,218],"with":[113,173,268],"decreasing":[114],"energy,":[115],"which":[116,148],"valid":[118],"heterogeneous":[120],"material":[121],"properties":[122],"free":[125,201],"surface":[126],"boundary":[127,197],"condition":[128],"one":[130],"side":[131],"Our":[135],"discretization":[137],"based":[139],"fourth":[142,263],"accurate":[144],"finite":[145,168,191],"difference":[146,169,192],"satisfies":[149],"principle":[151],"summation":[153],"parts.":[155],"show":[157,228],"discrete":[160],"estimate":[162],"holds":[163],"also":[164],"when":[165],"centered":[167],"stencil":[170],"combined":[172],"homogeneous":[174],"Dirichlet":[175],"conditions":[176],"at":[177],"several":[178],"ghost":[179],"points":[180],"outside":[181],"Therefore,":[186],"coefficients":[188],"stencils":[193],"need":[194],"only":[195],"be":[196,238],"modified":[198],"surface.":[202],"This":[203],"allows":[204],"improved":[206],"efficiency":[208],"significant":[210],"simplifications":[211],"implementation":[214],"proposed":[217],"multi-dimensional":[220],"Numerical":[222],"experiments":[223],"three":[225],"space":[226],"dimensions":[227],"error":[232],"from":[233],"truncating":[234],"can":[237],"made":[239],"small":[241],"choosing":[243],"sufficiently":[245],"wide":[246],"damping":[248],"layer.":[249],"The":[250],"accuracy":[252,265,284],"first":[254],"evaluated":[255],"against":[256],"analytical":[257],"solutions":[258],"Lamb's":[260],"problem,":[261],"observed":[267],"sixth":[270],"dissipation.":[273],"then":[275],"use":[276],"successive":[277],"grid":[278],"refinements":[279],"study":[281],"more":[287],"complicated":[288],"motion":[289],"due":[290],"point":[293],"moment":[294],"tensor":[295],"source":[296],"regularized":[299],"layered":[300],"material.":[301]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
