{"id":"https://openalex.org/W7167275940","doi":"https://doi.org/10.1145/3811294","title":"MPM Lite: Linear Kernels and Integration without Particles","display_name":"MPM Lite: Linear Kernels and Integration without Particles","publication_year":2026,"publication_date":"2026-07-03","ids":{"openalex":"https://openalex.org/W7167275940","doi":"https://doi.org/10.1145/3811294"},"language":"en","primary_location":{"id":"doi:10.1145/3811294","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811294","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3811294","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101536091","display_name":"Xiang Feng","orcid":"https://orcid.org/0009-0003-4439-2253"},"institutions":[{"id":"https://openalex.org/I160856358","display_name":"University of San Diego","ror":"https://ror.org/03jbbze48","country_code":"US","type":"education","lineage":["https://openalex.org/I160856358"]},{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]},{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiang Feng","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, USA","University of California San Diego, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0009-0003-4439-2253","affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"University of California San Diego, Los Angeles, USA","institution_ids":["https://openalex.org/I160856358","https://openalex.org/I161318765","https://openalex.org/I2803209242","https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103165773","display_name":"Yunuo Chen","orcid":"https://orcid.org/0000-0001-9041-5637"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunuo Chen","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0000-0001-9041-5637","affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100874555","display_name":"Chang Yu","orcid":"https://orcid.org/0009-0000-2613-9885"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chang Yu","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0009-0000-2613-9885","affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056245495","display_name":"Hao Su","orcid":"https://orcid.org/0000-0002-1796-2682"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hao Su","raw_affiliation_strings":["University of California San Diego, San Diego, USA"],"raw_orcid":"https://orcid.org/0000-0002-1796-2682","affiliations":[{"raw_affiliation_string":"University of California San Diego, San Diego, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034397232","display_name":"Demetri Terzopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Demetri Terzopoulos","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0000-0003-4672-1279","affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067760326","display_name":"Yin Yang","orcid":"https://orcid.org/0000-0001-7645-5931"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yin Yang","raw_affiliation_strings":["University of Utah, Salt Lake City, USA"],"raw_orcid":"https://orcid.org/0000-0001-7645-5931","affiliations":[{"raw_affiliation_string":"University of Utah, Salt Lake City, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036413980","display_name":"Joseph Masterjohn","orcid":"https://orcid.org/0000-0001-9605-7674"},"institutions":[{"id":"https://openalex.org/I4391768151","display_name":"Toyota Research Institute","ror":"https://ror.org/04fpkc108","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210125472","https://openalex.org/I4391768151"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joe Masterjohn","raw_affiliation_strings":["Toyota Research Institute, Cambridge, USA"],"raw_orcid":"https://orcid.org/0000-0001-9605-7674","affiliations":[{"raw_affiliation_string":"Toyota Research Institute, Cambridge, USA","institution_ids":["https://openalex.org/I4391768151"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060225093","display_name":"Alejandro Castro","orcid":"https://orcid.org/0000-0003-3049-0066"},"institutions":[{"id":"https://openalex.org/I4391768151","display_name":"Toyota Research Institute","ror":"https://ror.org/04fpkc108","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210125472","https://openalex.org/I4391768151"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alejandro Castro","raw_affiliation_strings":["Toyota Research Institute, Cambridge, USA"],"raw_orcid":"https://orcid.org/0000-0003-3049-0066","affiliations":[{"raw_affiliation_string":"Toyota Research Institute, Cambridge, USA","institution_ids":["https://openalex.org/I4391768151"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068163735","display_name":"Chenfanfu Jiang","orcid":"https://orcid.org/0000-0003-3506-0583"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chenfanfu Jiang","raw_affiliation_strings":["University of California Los Angeles, Los Angeles, USA"],"raw_orcid":"https://orcid.org/0000-0003-3506-0583","affiliations":[{"raw_affiliation_string":"University of California Los Angeles, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.8198218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"4","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.4368000030517578,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.4368000030517578,"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/T11471","display_name":"Block Copolymer Self-Assembly","score":0.22089999914169312,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11915","display_name":"Pickering emulsions and particle stabilization","score":0.04430000111460686,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5464000105857849},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5146999955177307},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5048999786376953},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.4918999969959259},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.42750000953674316},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4172999858856201},{"id":"https://openalex.org/keywords/resampling","display_name":"Resampling","score":0.41690000891685486},{"id":"https://openalex.org/keywords/material-point-method","display_name":"Material point method","score":0.3935999870300293}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5464000105857849},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5146999955177307},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5048999786376953},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5008000135421753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4970000088214874},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.4918999969959259},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.42750000953674316},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4172999858856201},{"id":"https://openalex.org/C150921843","wikidata":"https://www.wikidata.org/wiki/Q1170431","display_name":"Resampling","level":2,"score":0.41690000891685486},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4106000065803528},{"id":"https://openalex.org/C20138086","wikidata":"https://www.wikidata.org/wiki/Q17103302","display_name":"Material point method","level":3,"score":0.3935999870300293},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.3865000009536743},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.35670000314712524},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.35010001063346863},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.325300008058548},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31700000166893005},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3133000135421753},{"id":"https://openalex.org/C43173174","wikidata":"https://www.wikidata.org/wiki/Q2646942","display_name":"Regular grid","level":3,"score":0.3095000088214874},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29649999737739563},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2903999984264374},{"id":"https://openalex.org/C2780395129","wikidata":"https://www.wikidata.org/wiki/Q1128971","display_name":"Rapid prototyping","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C46175816","wikidata":"https://www.wikidata.org/wiki/Q134787","display_name":"Analytic geometry","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2606000006198883}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3811294","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811294","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3811294","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3811294","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1505152011","https://openalex.org/W1568806545","https://openalex.org/W1616184361","https://openalex.org/W2022566626","https://openalex.org/W2081376769","https://openalex.org/W2089726988","https://openalex.org/W2091674402","https://openalex.org/W2114313349","https://openalex.org/W2118809367","https://openalex.org/W2146628239","https://openalex.org/W2154583999","https://openalex.org/W2162410491","https://openalex.org/W2278868814","https://openalex.org/W2465888780","https://openalex.org/W2469863283","https://openalex.org/W2593490859","https://openalex.org/W2724551969","https://openalex.org/W2736344262","https://openalex.org/W2740306641","https://openalex.org/W2769733039","https://openalex.org/W2770820244","https://openalex.org/W2809724354","https://openalex.org/W2810216202","https://openalex.org/W2810873357","https://openalex.org/W2887575682","https://openalex.org/W2902093690","https://openalex.org/W2941344548","https://openalex.org/W2958142095","https://openalex.org/W2959624262","https://openalex.org/W2968042644","https://openalex.org/W2989785309","https://openalex.org/W3048702918","https://openalex.org/W3048863575","https://openalex.org/W3048942583","https://openalex.org/W3080703334","https://openalex.org/W3175991720","https://openalex.org/W4230706766","https://openalex.org/W4286611055","https://openalex.org/W4286615939","https://openalex.org/W4318594945","https://openalex.org/W4395082274","https://openalex.org/W4400820162","https://openalex.org/W4412673666"],"related_works":[],"abstract_inverted_index":{"We":[0,186],"introduce":[1],"MPM":[2,52,158,192,201],"Lite,":[3],"a":[4,26,71,121,144],"hybrid":[5],"Lagrangian/Eulerian":[6],"method":[7,119],"that":[8,191],"eliminates":[9],"the":[10,41,42,66,95,106,111,115,138,174,195],"need":[11],"for":[12],"particle-based":[13,45],"quadrature":[14,46,81],"at":[15],"solve":[16],"time.":[17],"Standard":[18],"Material":[19],"Point":[20],"Method":[21],"(MPM)":[22],"practices":[23],"suffer":[24],"from":[25],"performance":[27],"bottleneck":[28],"where":[29],"expensive":[30],"implicit":[31,210],"solves":[32],"are":[33],"proportional":[34],"to":[35,40,99],"particle-per-cell":[36],"(PPC)":[37],"counts":[38],"due":[39],"choices":[43],"of":[44,59,110,117,133,177,199],"and":[47,62,94,125,142,182,197],"wide-stencil":[48],"kernels.":[49,87],"By":[50],"contrast,":[51],"Lite":[53,159,193],"treats":[54],"particles":[55],"primarily":[56],"as":[57,70,163],"carriers":[58],"kinematic":[60],"state":[61],"material":[63],"history.":[64],"Conceptualizing":[65],"background":[67],"Cartesian":[68],"grid":[69],"voxel":[72],"hexahedral":[73],"mesh,":[74],"we":[75,136],"resample":[76,137],"particle":[77,112],"states":[78],"onto":[79],"fixed-location":[80],"points":[82],"using":[83],"efficient,":[84],"compact":[85],"linear":[86],"This":[88],"architectural":[89],"shift":[90],"allows":[91],"force":[92],"assembly":[93],"entire":[96],"time-integration":[97],"process":[98],"proceed":[100],"without":[101],"accessing":[102],"particles,":[103],"thus":[104],"making":[105],"solver's":[107],"complexity":[108],"independent":[109],"count.":[113],"At":[114],"core":[116],"our":[118],"is":[120],"novel":[122],"stress":[123,141],"transfer":[124],"stretch":[126],"reconstruction":[127],"strategy.":[128],"To":[129],"avoid":[130],"non-physical":[131],"averaging":[132],"deformation":[134,146],"gradients,":[135],"extensive":[139,189],"Kirchhoff":[140],"derive":[143],"rotation-free":[145],"reference":[147],"solution,":[148],"which":[149],"naturally":[150],"supports":[151],"an":[152,169],"optimization-based":[153],"incremental":[154],"potential":[155],"formulation.":[156],"Consequently,":[157],"can":[160],"be":[161],"implemented":[162],"modular":[164],"resampling":[165],"units":[166],"coupled":[167],"with":[168],"FEM-style":[170],"integration":[171],"module,":[172],"enabling":[173],"direct":[175],"use":[176],"off-the-shelf":[178],"nonlinear":[179],"solvers,":[180],"preconditioners,":[181],"unambiguous":[183],"boundary":[184],"conditions.":[185],"demonstrate":[187],"through":[188],"experiments":[190],"preserves":[194],"robustness":[196],"versatility":[198],"traditional":[200],"across":[202],"diverse":[203],"materials":[204],"while":[205,212],"delivering":[206],"significant":[207],"speedups":[208],"in":[209],"settings":[211],"simultaneously":[213],"improving":[214],"explicit":[215],"ones.":[216],"Project":[217],"page:":[218],"https://mpmlite.github.io.":[219]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2026-07-04T00:00:00"}
