{"id":"https://openalex.org/W3046621064","doi":"https://doi.org/10.1007/978-3-030-47956-5_19","title":"TerraNeo\u2014Mantle Convection Beyond a Trillion Degrees of Freedom","display_name":"TerraNeo\u2014Mantle Convection Beyond a Trillion Degrees of Freedom","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3046621064","doi":"https://doi.org/10.1007/978-3-030-47956-5_19","mag":"3046621064"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-47956-5_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-47956-5_19","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-47956-5_19.pdf","source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-47956-5_19.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024844886","display_name":"Simon Bauer","orcid":null},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Simon Bauer","raw_affiliation_strings":["Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074842294","display_name":"Hans\u2010Peter Bunge","orcid":"https://orcid.org/0000-0002-1447-2389"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans-Peter Bunge","raw_affiliation_strings":["Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026096803","display_name":"Daniel Drzisga","orcid":"https://orcid.org/0000-0003-3757-2136"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Drzisga","raw_affiliation_strings":["Technical University of Munich, M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028751421","display_name":"Siavash Ghelichkhan","orcid":"https://orcid.org/0000-0002-1316-3170"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Siavash Ghelichkhan","raw_affiliation_strings":["Technical University of Munich, M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070800462","display_name":"Markus Huber","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Huber","raw_affiliation_strings":["Technical University of Munich, M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032938194","display_name":"Nils Kohl","orcid":"https://orcid.org/0000-0003-4797-0664"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nils Kohl","raw_affiliation_strings":["University of Erlangen\u2013Nuremberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Erlangen\u2013Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021181231","display_name":"Marcus Mohr","orcid":"https://orcid.org/0000-0003-2942-8484"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcus Mohr","raw_affiliation_strings":["Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109197540","display_name":"Ulrich R\u00fcde","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]},{"id":"https://openalex.org/I4210106946","display_name":"Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique","ror":"https://ror.org/02dzbc556","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210106946"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Ulrich R\u00fcde","raw_affiliation_strings":["Centre Europen de Recherche et de Formation Avance en Calcul Scientifique (CERFACS), Toulouse, France","University of Erlangen\u2013Nuremberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre Europen de Recherche et de Formation Avance en Calcul Scientifique (CERFACS), Toulouse, France","institution_ids":["https://openalex.org/I4210106946"]},{"raw_affiliation_string":"University of Erlangen\u2013Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085094235","display_name":"Dominik Th\u00f6nnes","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominik Th\u00f6nnes","raw_affiliation_strings":["University of Erlangen\u2013Nuremberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Erlangen\u2013Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018841476","display_name":"Barbara Wohlmuth","orcid":"https://orcid.org/0000-0001-6908-6015"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barbara Wohlmuth","raw_affiliation_strings":["Technical University of Munich, M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":10,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.2977,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.98737601,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"569","last_page":"610"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mantle-convection","display_name":"Mantle convection","score":0.6871783137321472},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6520090103149414},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5763859748840332},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.5521793961524963},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5277645587921143},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48428577184677124},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3696497082710266},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.34116631746292114},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3015725612640381},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.18747225403785706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1595931053161621},{"id":"https://openalex.org/keywords/lithosphere","display_name":"Lithosphere","score":0.13588058948516846},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.10804229974746704}],"concepts":[{"id":"https://openalex.org/C190799397","wikidata":"https://www.wikidata.org/wiki/Q120005","display_name":"Mantle convection","level":4,"score":0.6871783137321472},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6520090103149414},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5763859748840332},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.5521793961524963},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5277645587921143},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48428577184677124},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3696497082710266},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.34116631746292114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3015725612640381},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.18747225403785706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1595931053161621},{"id":"https://openalex.org/C16942324","wikidata":"https://www.wikidata.org/wiki/Q83296","display_name":"Lithosphere","level":3,"score":0.13588058948516846},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.10804229974746704},{"id":"https://openalex.org/C77928131","wikidata":"https://www.wikidata.org/wiki/Q193343","display_name":"Tectonics","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-47956-5_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-47956-5_19","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-47956-5_19.pdf","source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1685360","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1685360","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ConferencePaper"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-47956-5_19","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-47956-5_19","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-47956-5_19.pdf","source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"},"sustainable_development_goals":[{"score":0.5099999904632568,"id":"https://metadata.un.org/sdg/12","display_name":"Responsible consumption and production"},{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G1456954421","display_name":null,"funder_award_id":"WO671/11-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320331625","display_name":"Gauss Centre for Supercomputing","ror":"https://ror.org/0585fsj26"},{"id":"https://openalex.org/F4320334763","display_name":"Leibniz-Gemeinschaft","ror":"https://ror.org/01n6r0e97"},{"id":"https://openalex.org/F4320336863","display_name":"Leibniz-Rechenzentrum","ror":"https://ror.org/05558nw16"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3046621064.pdf","grobid_xml":"https://content.openalex.org/works/W3046621064.grobid-xml"},"referenced_works_count":110,"referenced_works":["https://openalex.org/W58958062","https://openalex.org/W153514170","https://openalex.org/W170595369","https://openalex.org/W1504442666","https://openalex.org/W1523714122","https://openalex.org/W1589492941","https://openalex.org/W1722263007","https://openalex.org/W1850263477","https://openalex.org/W1929194805","https://openalex.org/W1964286915","https://openalex.org/W1964639877","https://openalex.org/W1968634507","https://openalex.org/W1970172627","https://openalex.org/W1970183155","https://openalex.org/W1980104292","https://openalex.org/W1980633598","https://openalex.org/W1984201362","https://openalex.org/W1996755967","https://openalex.org/W1998902021","https://openalex.org/W1999741397","https://openalex.org/W2002555321","https://openalex.org/W2002673363","https://openalex.org/W2011664413","https://openalex.org/W2015953722","https://openalex.org/W2018225490","https://openalex.org/W2021084171","https://openalex.org/W2025544010","https://openalex.org/W2034150466","https://openalex.org/W2041563881","https://openalex.org/W2045456018","https://openalex.org/W2049098858","https://openalex.org/W2050733052","https://openalex.org/W2053295724","https://openalex.org/W2059274778","https://openalex.org/W2063287321","https://openalex.org/W2072132691","https://openalex.org/W2075250201","https://openalex.org/W2079118382","https://openalex.org/W2087224272","https://openalex.org/W2092794815","https://openalex.org/W2096642134","https://openalex.org/W2096904898","https://openalex.org/W2097914838","https://openalex.org/W2108653421","https://openalex.org/W2129333755","https://openalex.org/W2131704308","https://openalex.org/W2133248904","https://openalex.org/W2143131337","https://openalex.org/W2149327080","https://openalex.org/W2153985457","https://openalex.org/W2154865023","https://openalex.org/W2155967587","https://openalex.org/W2158755289","https://openalex.org/W2172192492","https://openalex.org/W2180366388","https://openalex.org/W2193930533","https://openalex.org/W2213765030","https://openalex.org/W2244326169","https://openalex.org/W2245030762","https://openalex.org/W2291702253","https://openalex.org/W2330793397","https://openalex.org/W2335071651","https://openalex.org/W2416275548","https://openalex.org/W2464898451","https://openalex.org/W2472958662","https://openalex.org/W2473307957","https://openalex.org/W2479497146","https://openalex.org/W2504261469","https://openalex.org/W2518876246","https://openalex.org/W2520852902","https://openalex.org/W2540977105","https://openalex.org/W2589446435","https://openalex.org/W2597480328","https://openalex.org/W2609565072","https://openalex.org/W2611807881","https://openalex.org/W2618785487","https://openalex.org/W2622213558","https://openalex.org/W2643027376","https://openalex.org/W2731353277","https://openalex.org/W2767520933","https://openalex.org/W2767540219","https://openalex.org/W2779747814","https://openalex.org/W2806965604","https://openalex.org/W2807754986","https://openalex.org/W2887308724","https://openalex.org/W2887689718","https://openalex.org/W2899904799","https://openalex.org/W2904537507","https://openalex.org/W2906345721","https://openalex.org/W2919059391","https://openalex.org/W2943869808","https://openalex.org/W2953067464","https://openalex.org/W2962926460","https://openalex.org/W2963106581","https://openalex.org/W2963323292","https://openalex.org/W2963380860","https://openalex.org/W2963706349","https://openalex.org/W2963879940","https://openalex.org/W2963909591","https://openalex.org/W3002206487","https://openalex.org/W3011188601","https://openalex.org/W3101523096","https://openalex.org/W3101638477","https://openalex.org/W3103023519","https://openalex.org/W3122714673","https://openalex.org/W3125983777","https://openalex.org/W4231405723","https://openalex.org/W4251072545","https://openalex.org/W4294022084","https://openalex.org/W6664772031"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W3000119417","https://openalex.org/W2020385488","https://openalex.org/W105006890","https://openalex.org/W2023656250","https://openalex.org/W2405661381","https://openalex.org/W1978004791"],"abstract_inverted_index":{"Simulation":[0],"of":[1,38,77,111,125,130,178],"mantle":[2,78],"convection":[3,79],"on":[4,58,114],"planetary":[5],"scales":[6,25],"is":[7],"considered":[8],"a":[9],"grand-challenge":[10],"application":[11],"even":[12,113,127],"in":[13,30,128,142],"the":[14,20,31,36,42,59,70,75,83,99,176],"exascale":[15],"era.":[16],"The":[17,150],"reason":[18],"being":[19],"enormous":[21],"spatial":[22],"and":[23,41,133,165,168,187,194],"temporal":[24],"that":[26,46,73,92],"must":[27],"be":[28,49,95],"resolved":[29],"computation":[32],"as":[33,35,160],"well":[34],"complexities":[37],"realistic":[39],"models":[40],"large":[43],"parameter":[44],"uncertainties":[45],"need":[47],"to":[48,90,122,155,169,181],"handled":[50],"by":[51],"advanced":[52,184],"numerical":[53],"methods.":[54],"This":[55],"contribution":[56],"reports":[57],"TerraNeo":[60,82],"project":[61],"which":[62],"delivered":[63],"novel":[64],"matrix-free":[65],"geometric":[66],"multigrid":[67],"solvers":[68],"for":[69,138,147,196],"Stokes":[71,100],"system":[72,101],"forms":[74],"core":[76],"models.":[80],"In":[81],"hierarchical":[84],"hybrid":[85],"grids":[86],"paradigm":[87],"was":[88,153],"employed":[89],"demonstrate":[91],"scalability":[93],"can":[94],"achieved":[96],"when":[97],"solving":[98],"with":[102],"more":[103,183],"than":[104],"ten":[105],"trillion":[106],"(1.1":[107],"\u22c5":[108],"1013)":[109],"degrees":[110],"freedom":[112],"present-day":[115],"peta-scale":[116],"supercomputers.":[117],"Novel":[118],"concepts":[119],"were":[120],"developed":[121],"ensure":[123],"resilience":[124],"algorithms":[126,136,146],"case":[129],"hard":[131],"faults":[132],"new":[134],"scheduling":[135],"proposed":[137],"ensemble":[139],"runs":[140],"arising":[141],"Multilevel":[143],"Monte":[144],"Carlo":[145],"uncertainty":[148],"quantification.":[149],"prototype":[151],"framework":[152],"used":[154],"investigate":[156],"geodynamic":[157],"questions":[158],"such":[159],"high":[161],"velocity":[162],"asthenospheric":[163],"channels":[164],"dynamic":[166],"topography":[167],"perform":[170],"adjoint":[171],"inversions.":[172],"We":[173],"also":[174],"describe":[175],"redesign":[177],"our":[179],"software":[180],"support":[182],"discretizations,":[185],"adaptivity,":[186],"highly":[188],"asynchronous":[189],"execution":[190],"while":[191],"ensuring":[192],"sustainability":[193],"flexibility":[195],"future":[197],"extensions.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}