{"id":"https://openalex.org/W1981719829","doi":"https://doi.org/10.1109/acc.2014.6859408","title":"Investigation of projection-based model-reduction techniques for solid-phase diffusion in Li-ion batteries","display_name":"Investigation of projection-based model-reduction techniques for solid-phase diffusion in Li-ion batteries","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W1981719829","doi":"https://doi.org/10.1109/acc.2014.6859408","mag":"1981719829"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2014.6859408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5013635280","display_name":"Chris A. Mayhew","orcid":"https://orcid.org/0000-0002-5014-7241"},"institutions":[{"id":"https://openalex.org/I4210120115","display_name":"Robert Bosch (United States)","ror":"https://ror.org/02venad53","country_code":"US","type":"company","lineage":["https://openalex.org/I4210120115","https://openalex.org/I889804353"]},{"id":"https://openalex.org/I889804353","display_name":"Robert Bosch (Germany)","ror":"https://ror.org/01fe0jt45","country_code":"DE","type":"company","lineage":["https://openalex.org/I889804353"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Christopher Mayhew","raw_affiliation_strings":["Robert Bosch Research and Technology Center, Palo Alto, CA, USA","Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robert Bosch Research and Technology Center, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I4210120115"]},{"raw_affiliation_string":"Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I889804353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046949935","display_name":"Wei He","orcid":"https://orcid.org/0000-0002-2211-0126"},"institutions":[{"id":"https://openalex.org/I4210120115","display_name":"Robert Bosch (United States)","ror":"https://ror.org/02venad53","country_code":"US","type":"company","lineage":["https://openalex.org/I4210120115","https://openalex.org/I889804353"]},{"id":"https://openalex.org/I889804353","display_name":"Robert Bosch (Germany)","ror":"https://ror.org/01fe0jt45","country_code":"DE","type":"company","lineage":["https://openalex.org/I889804353"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Wei He","raw_affiliation_strings":["Robert Bosch Research and Technology Center, Palo Alto, CA, USA","Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robert Bosch Research and Technology Center, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I4210120115"]},{"raw_affiliation_string":"Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I889804353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049606221","display_name":"Christoph Kroener","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120115","display_name":"Robert Bosch (United States)","ror":"https://ror.org/02venad53","country_code":"US","type":"company","lineage":["https://openalex.org/I4210120115","https://openalex.org/I889804353"]},{"id":"https://openalex.org/I889804353","display_name":"Robert Bosch (Germany)","ror":"https://ror.org/01fe0jt45","country_code":"DE","type":"company","lineage":["https://openalex.org/I889804353"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Christoph Kroener","raw_affiliation_strings":["Robert Bosch Research and Technology Center, Palo Alto, CA, USA","Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robert Bosch Research and Technology Center, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I4210120115"]},{"raw_affiliation_string":"Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I889804353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112665705","display_name":"Reinhardt Klein","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120115","display_name":"Robert Bosch (United States)","ror":"https://ror.org/02venad53","country_code":"US","type":"company","lineage":["https://openalex.org/I4210120115","https://openalex.org/I889804353"]},{"id":"https://openalex.org/I889804353","display_name":"Robert Bosch (Germany)","ror":"https://ror.org/01fe0jt45","country_code":"DE","type":"company","lineage":["https://openalex.org/I889804353"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Reinhardt Klein","raw_affiliation_strings":["Robert Bosch Research and Technology Center, Palo Alto, CA, USA","Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robert Bosch Research and Technology Center, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I4210120115"]},{"raw_affiliation_string":"Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I889804353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111631695","display_name":"Nalin A. Chaturvedi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120115","display_name":"Robert Bosch (United States)","ror":"https://ror.org/02venad53","country_code":"US","type":"company","lineage":["https://openalex.org/I4210120115","https://openalex.org/I889804353"]},{"id":"https://openalex.org/I889804353","display_name":"Robert Bosch (Germany)","ror":"https://ror.org/01fe0jt45","country_code":"DE","type":"company","lineage":["https://openalex.org/I889804353"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Nalin Chaturvedi","raw_affiliation_strings":["Robert Bosch Research and Technology Center, Palo Alto, CA, USA","Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robert Bosch Research and Technology Center, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I4210120115"]},{"raw_affiliation_string":"Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I889804353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021165128","display_name":"Aleksandar Koji\u0107","orcid":"https://orcid.org/0000-0002-3987-3699"},"institutions":[{"id":"https://openalex.org/I4210120115","display_name":"Robert Bosch (United States)","ror":"https://ror.org/02venad53","country_code":"US","type":"company","lineage":["https://openalex.org/I4210120115","https://openalex.org/I889804353"]},{"id":"https://openalex.org/I889804353","display_name":"Robert Bosch (Germany)","ror":"https://ror.org/01fe0jt45","country_code":"DE","type":"company","lineage":["https://openalex.org/I889804353"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Aleksandar Kojic","raw_affiliation_strings":["Robert Bosch Research and Technology Center, Palo Alto, CA, USA","Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robert Bosch Research and Technology Center, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I4210120115"]},{"raw_affiliation_string":"Res. & Technol. Center, Robert Bosch, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I889804353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3534,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.74901415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"40","issue":null,"first_page":"123","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10663","display_name":"Advanced Battery Technologies Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10663","display_name":"Advanced Battery Technologies Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T11236","display_name":"Control Systems and Identification","score":0.9958000183105469,"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/T10409","display_name":"Fuel Cells and Related Materials","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/monomial","display_name":"Monomial","score":0.6132690906524658},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5883249640464783},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.5775928497314453},{"id":"https://openalex.org/keywords/monomial-basis","display_name":"Monomial basis","score":0.5299559235572815},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.48053842782974243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4773017168045044},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4701519012451172},{"id":"https://openalex.org/keywords/dimensionless-quantity","display_name":"Dimensionless quantity","score":0.46341556310653687},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.45464572310447693},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.45225125551223755},{"id":"https://openalex.org/keywords/ion","display_name":"Ion","score":0.4413468539714813},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43406230211257935},{"id":"https://openalex.org/keywords/thermal-diffusivity","display_name":"Thermal diffusivity","score":0.4286156892776489},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4217371940612793},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4155486226081848},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.4130035936832428},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3837788701057434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33029165863990784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.254517138004303},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24286159873008728},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.18770110607147217},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12483999133110046},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.106408029794693},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.09578225016593933},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07714882493019104}],"concepts":[{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.6132690906524658},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5883249640464783},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5775928497314453},{"id":"https://openalex.org/C46132437","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Monomial basis","level":3,"score":0.5299559235572815},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.48053842782974243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4773017168045044},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4701519012451172},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.46341556310653687},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.45464572310447693},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.45225125551223755},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"score":0.4413468539714813},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43406230211257935},{"id":"https://openalex.org/C37668627","wikidata":"https://www.wikidata.org/wiki/Q3381809","display_name":"Thermal diffusivity","level":2,"score":0.4286156892776489},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4217371940612793},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4155486226081848},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4130035936832428},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3837788701057434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33029165863990784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.254517138004303},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24286159873008728},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.18770110607147217},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12483999133110046},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.106408029794693},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.09578225016593933},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07714882493019104},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2014.6859408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1975187247","https://openalex.org/W1976784151","https://openalex.org/W1977208853","https://openalex.org/W1988387263","https://openalex.org/W2023871524","https://openalex.org/W2037980848","https://openalex.org/W2064733273","https://openalex.org/W2074801539","https://openalex.org/W2085378544","https://openalex.org/W2100869222","https://openalex.org/W2108596145","https://openalex.org/W2133496267","https://openalex.org/W2147525209","https://openalex.org/W2148602279","https://openalex.org/W2157375759","https://openalex.org/W2160248689","https://openalex.org/W6683260103"],"related_works":["https://openalex.org/W3027438086","https://openalex.org/W4287776222","https://openalex.org/W2068219544","https://openalex.org/W2594696802","https://openalex.org/W2353327911","https://openalex.org/W1509594480","https://openalex.org/W4294223057","https://openalex.org/W1970574340","https://openalex.org/W2045452781","https://openalex.org/W2053918863"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,70,79,112],"apply":[4],"the":[5,14,18,37,61,96,105,115,148],"projection-based":[6],"model-reduction":[7],"framework":[8,39],"for":[9,93,104,119,132],"PDEs":[10],"of":[11,20,31,60,83,151],"[1]":[12],"to":[13,63,125],"diffusion":[15],"process":[16],"governing":[17],"intercalation":[19],"lithium":[21],"ions":[22],"into":[23],"spherical":[24],"particles":[25],"that":[26,81,114],"appears":[27],"in":[28,73,147],"electrochemical":[29],"models":[30],"Li-ion":[32],"batteries.":[33],"We":[34],"first":[35],"invoke":[36],"projection":[38],"with":[40,127,139],"different":[41,53,66],"projections":[42],"(the":[43],"so-called":[44],"natural\u2014i.e.":[45],"Galerkin\u2014and":[46],"volume-averaging":[47],"projections\u2014NP":[48],"and":[49,52,58,108],"VAP,":[50],"respectively)":[51],"basis":[54,87,106],"sets":[55,107],"(even":[56],"monomials":[57],"eigenfunctions":[59],"PDE)":[62],"arrive":[64],"at":[65],"reduced":[67,91],"models,":[68],"which":[69,143],"then":[71],"benchmark":[72],"a":[74,120,140],"dimensionless":[75],"frequency-domain":[76],"setting.":[77],"Surprisingly,":[78],"find":[80,113],"VAP":[82],"an":[84,89],"even":[85,128],"monomial":[86],"yields":[88,101],"unstable":[90],"model":[92],"anything":[94],"but":[95],"lowest":[97],"order;":[98],"however,":[99,130],"NP":[100,126],"suitable":[102],"results":[103],"orders":[109],"considered.":[110],"Furthermore,":[111],"NP-eigenfunction":[116],"combination":[117],"makes":[118],"slow":[121],"convergence":[122],"when":[123,137],"compared":[124,138],"monomials;":[129],"room":[131],"further":[133],"improvement":[134],"is":[135,144],"seen":[136],"balanced":[141],"truncation,":[142],"not":[145],"applicable":[146],"nonlinear":[149],"setting":[150],"concentration-dependent":[152],"diffusivity.":[153]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}