{"id":"https://openalex.org/W2074048905","doi":"https://doi.org/10.1137/080728871","title":"Dynamically Adaptive Simulations with Minimal Memory Requirement\u2014Solving the Shallow Water Equations Using Sierpinski Curves","display_name":"Dynamically Adaptive Simulations with Minimal Memory Requirement\u2014Solving the Shallow Water Equations Using Sierpinski Curves","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2074048905","doi":"https://doi.org/10.1137/080728871","mag":"2074048905"},"language":"en","primary_location":{"id":"doi:10.1137/080728871","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080728871","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":true,"oa_status":"green","oa_url":"http://mediatum.ub.tum.de/node?id=1418090","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039371456","display_name":"Michael B\u00e4der","orcid":"https://orcid.org/0000-0003-4780-4164"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Bader","raw_affiliation_strings":["bader@in.tum.de and chrisbk@gmx.de and johannes-schwaiger@gmx.de and vigh@in.tum.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"bader@in.tum.de and chrisbk@gmx.de and johannes-schwaiger@gmx.de and vigh@in.tum.de#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030469695","display_name":"Christian B\u00f6ck","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christian B\u00f6ck","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002799033","display_name":"Johannes P. Schwaiger","orcid":"https://orcid.org/0000-0003-1960-0631"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Johannes Schwaiger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5023072586","display_name":"Csaba Vigh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Csaba Vigh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.4836,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.97239893,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"32","issue":"1","first_page":"212","last_page":"228"},"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":0.9977999925613403,"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":0.9977999925613403,"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":0.9976999759674072,"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":0.984000027179718,"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/discretization","display_name":"Discretization","score":0.6722661256790161},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6255656480789185},{"id":"https://openalex.org/keywords/shallow-water-equations","display_name":"Shallow water equations","score":0.6207987666130066},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5492305159568787},{"id":"https://openalex.org/keywords/tree-traversal","display_name":"Tree traversal","score":0.5173894166946411},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5057151317596436},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4836746156215668},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.48307469487190247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4688383638858795},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.426731675863266},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4006456136703491},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4001929759979248},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3898266553878784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20654013752937317},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20279881358146667},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.12186500430107117}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6722661256790161},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6255656480789185},{"id":"https://openalex.org/C140295346","wikidata":"https://www.wikidata.org/wiki/Q4008384","display_name":"Shallow water equations","level":2,"score":0.6207987666130066},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5492305159568787},{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.5173894166946411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5057151317596436},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4836746156215668},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.48307469487190247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4688383638858795},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.426731675863266},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4006456136703491},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4001929759979248},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3898266553878784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20654013752937317},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20279881358146667},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.12186500430107117},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/080728871","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080728871","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"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1418090","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1418090","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1460792","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1460792","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:mediatum.ub.tum.de:node/1418090","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1418090","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},"sustainable_development_goals":[{"display_name":"Life below water","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1581930451","https://openalex.org/W1976612557","https://openalex.org/W1977111034","https://openalex.org/W1997147891","https://openalex.org/W2002295703","https://openalex.org/W2028763350","https://openalex.org/W2033942659","https://openalex.org/W2036292907","https://openalex.org/W2048260593","https://openalex.org/W2054729225","https://openalex.org/W2056345907","https://openalex.org/W2062919134","https://openalex.org/W2070274311","https://openalex.org/W2090102269","https://openalex.org/W2094388431","https://openalex.org/W2097377837","https://openalex.org/W2116377738","https://openalex.org/W2124214067","https://openalex.org/W2154891365","https://openalex.org/W2552007598"],"related_works":["https://openalex.org/W2389135180","https://openalex.org/W2016330536","https://openalex.org/W4323781213","https://openalex.org/W3101530895","https://openalex.org/W1684014906","https://openalex.org/W2082219078","https://openalex.org/W2118478556","https://openalex.org/W2697762190","https://openalex.org/W4321764130","https://openalex.org/W2044715502"],"abstract_inverted_index":{"We":[0,169],"present":[1],"an":[2,140],"approach":[3,176],"to":[4,75,201],"the":[5,22,33,38,86,98,102,107,118,149,161,166,171,175,178,185,202,206],"numerical":[6],"simulation":[7,23],"of":[8,24,54,95,117,133,151,160,174,180,184,205],"dynamically":[9,41],"adaptive":[10,15,42,87,113,121],"problems":[11],"on":[12,32,51,148,177],"recursively":[13],"structured":[14],"triangular":[16],"grids.":[17],"The":[18,59],"intended":[19],"application":[20],"is":[21,72,146,199],"oceanic":[25],"wave":[26],"propagation":[27],"(e.g.,":[28],"tsunami":[29],"simulation)":[30],"based":[31,50,147],"shallow":[34,186],"water":[35,187],"equations.":[36],"For":[37],"required":[39],"2D":[40],"discretization,":[43],"we":[44,191],"adopt":[45],"a":[46,67,76,82,92,158,181,193],"grid":[47,61,88,164],"generation":[48,62],"process":[49],"recursive":[52,60],"bisection":[53],"triangles":[55],"along":[56,165],"marked":[57],"edges.":[58],"may":[63],"be":[64],"described":[65],"via":[66],"respective":[68],"refinement":[69,114,122],"tree,":[70],"which":[71,145,190],"sequentialized":[73],"according":[74],"Sierpinski":[77,167],"space-filling":[78,108],"curve.":[79,168],"This":[80],"allows":[81],"storage":[83],"scheme":[84],"for":[85,130,189],"that":[89],"requires":[90],"only":[91],"minimal":[93],"amount":[94],"memory.":[96],"Moreover,":[97],"sequentialization":[99],"and,":[100],"hence,":[101],"locality":[103],"properties":[104],"induced":[105],"by":[106],"curve":[109],"are":[110,137],"retained":[111],"throughout":[112],"and":[115,123,153,157],"coarsening":[116],"grid.":[119],"Conforming":[120],"coarsening,":[124],"as":[125,127],"well":[126],"time-stepping":[128],"techniques":[129],"time-dependent":[131],"systems":[132],"partial":[134],"differential":[135],"equations,":[136,188],"implemented":[138],"using":[139],"inherently":[141],"cache-efficient":[142],"processing":[143],"scheme,":[144],"use":[150,192],"stacks":[152],"stream-like":[154],"data":[155],"structures":[156],"traversal":[159],"adaptively":[162],"refined":[163],"demonstrate":[170],"computational":[172],"efficiency":[173,204],"solution":[179],"simplified":[182],"version":[183],"discontinuous":[194],"Galerkin":[195],"discretization.":[196],"Special":[197],"attention":[198],"paid":[200],"memory":[203],"implementation.":[207]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":17}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}