{"id":"https://openalex.org/W1966743726","doi":"https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<239::aid-nla107>3.0.co;2-3","title":"Iterative strategies for solving systems of linear, algebraic equations arising in 3D BE-FE analyses of tunnel drivings","display_name":"Iterative strategies for solving systems of linear, algebraic equations arising in 3D BE-FE analyses of tunnel drivings","publication_year":1997,"publication_date":"1997-05-01","ids":{"openalex":"https://openalex.org/W1966743726","doi":"https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<239::aid-nla107>3.0.co;2-3","mag":"1966743726"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1099-1506(199705/06)4:3<239::aid-nla107>3.0.co;2-3","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<239::aid-nla107>3.0.co;2-3","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/A5089253910","display_name":"H.-J. Payer","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"H.-J. Payer","raw_affiliation_strings":["Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, Vienna, A-1040, Austria","Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, Vienna A\u20101040, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, Vienna, A-1040, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, Vienna A\u20101040, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017724600","display_name":"Herbert A. Mang","orcid":"https://orcid.org/0000-0002-9804-0814"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"H. A. Mang","raw_affiliation_strings":["Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, Vienna, A-1040, Austria","Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, Vienna A\u20101040, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, Vienna, A-1040, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, Vienna A\u20101040, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089253910"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":0.7047,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63888308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"3","first_page":"239","last_page":"268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11046","display_name":"Geotechnical Engineering and Analysis","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.69398033618927},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.678761899471283},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6762992739677429},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6271688342094421},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6042571067810059},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.6003027558326721},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.578511655330658},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5308631062507629},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5060848593711853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4986867904663086},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.49063101410865784},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4589477777481079},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.4357948303222656},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.42917072772979736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3195992112159729},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2989630699157715},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2332533597946167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14260679483413696}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.69398033618927},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.678761899471283},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6762992739677429},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6271688342094421},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6042571067810059},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.6003027558326721},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.578511655330658},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5308631062507629},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5060848593711853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4986867904663086},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.49063101410865784},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4589477777481079},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.4357948303222656},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.42917072772979736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3195992112159729},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2989630699157715},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2332533597946167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14260679483413696},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1099-1506(199705/06)4:3<239::aid-nla107>3.0.co;2-3","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199705/06)4:3<239::aid-nla107>3.0.co;2-3","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5799999833106995,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1514575217","https://openalex.org/W1590879322","https://openalex.org/W1594290493","https://openalex.org/W1688318472","https://openalex.org/W1964987772","https://openalex.org/W1985968347","https://openalex.org/W2021810545","https://openalex.org/W2026639176","https://openalex.org/W2030963577","https://openalex.org/W2038058877","https://openalex.org/W2066139516","https://openalex.org/W2069382503","https://openalex.org/W2098841537","https://openalex.org/W2140153041","https://openalex.org/W2155216327","https://openalex.org/W2163612185","https://openalex.org/W2490615762","https://openalex.org/W2644208745","https://openalex.org/W4206119392","https://openalex.org/W4243021176","https://openalex.org/W4245356004","https://openalex.org/W4285719527","https://openalex.org/W4300938688","https://openalex.org/W6635394987","https://openalex.org/W6637669894","https://openalex.org/W6750341983","https://openalex.org/W6806452752"],"related_works":["https://openalex.org/W2088138737","https://openalex.org/W2383813702","https://openalex.org/W2383125250","https://openalex.org/W3008555607","https://openalex.org/W1971748573","https://openalex.org/W2895486115","https://openalex.org/W288746350","https://openalex.org/W4283764050","https://openalex.org/W1984243751","https://openalex.org/W3131955914"],"abstract_inverted_index":{"Simulations":[0],"of":[1,3,10,29,32,43,59,71,75,80,104,116,119,156,178,195,204],"excavations":[2],"tunnels":[4],"can":[5,65,123],"be":[6,66,124],"performed":[7],"by":[8,126,169],"means":[9,170],"a":[11,81,208],"coupling":[12],"strategy":[13,50,189],"using":[14,133],"the":[15,19,27,30,33,36,41,44,54,57,63,72,88,99,105,109,114,117,134,157,179,185,193,202],"boundary-element-method":[16],"(BEM)":[17],"and":[18,46,91,108,132,149],"finite-element-method":[20],"(FEM).":[21],"The":[22,68,153,176],"BEM":[23],"is":[24,38,51,167],"employed":[25],"for":[26,40,113],"discretization":[28],"far-field":[31,64],"tunnel,":[34],"whereas":[35],"FEM":[37],"used":[39],"interior":[42],"tunnel":[45],"its":[47],"vicinity.":[48],"This":[49],"based":[52,143],"on":[53,144,192,207],"assumption":[55],"that":[56],"influence":[58],"material":[60],"non-linearities":[61],"in":[62,151],"neglected.":[67],"coefficient":[69],"matrices":[70],"resulting":[73,86],"systems":[74,118],"linear,":[76,120],"algebraic":[77,121],"equations":[78,122],"consist":[79],"symmetric,":[82],"banded,":[83],"sparse":[84],"part":[85,96],"from":[87,98],"FE":[89],"subdomain":[90],"an":[92],"unsymmetric,":[93],"fully":[94],"populated":[95],"obtained":[97],"BE":[100,165],"subdomain.":[101],"Substantial":[102],"reductions":[103],"CPU":[106],"time":[107],"disk":[110],"space":[111],"required":[112],"solution":[115,188],"achieved":[125],"employing":[127],"iterative":[128,159,205],"solvers":[129,146,160,206],"with":[130,161],"preconditioning":[131],"computer":[135,210],"hardware":[136],"intelligently.":[137],"In":[138],"this":[139],"paper,":[140],"two":[141,180],"strategies":[142],"such":[145],"are":[147,190,211],"proposed":[148,181],"explained":[150],"detail.":[152],"convergence":[154],"behaviour":[155],"implemented":[158],"regards":[162],"to":[163,184],"pure":[164],"calculations":[166],"studied":[168],"os":[171],"solving":[172],"selected":[173],"numerical":[174],"examples.":[175],"advantages":[177],"methods":[182],"relative":[183],"original,":[186],"direct":[187],"demonstrated":[191],"basis":[194],"coupled":[196],"simulations.":[197],"Additionally,":[198],"some":[199],"comments":[200],"concerning":[201],"use":[203],"vector":[209],"given.":[212],"\u00a9":[213],"1997":[214],"John":[215],"Wiley":[216],"&":[217],"Sons,":[218],"Ltd.":[219]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}