{"id":"https://openalex.org/W1454353046","doi":"https://doi.org/10.1007/s10915-017-0369-z","title":"DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation","display_name":"DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation","publication_year":2017,"publication_date":"2017-01-28","ids":{"openalex":"https://openalex.org/W1454353046","doi":"https://doi.org/10.1007/s10915-017-0369-z","mag":"1454353046"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-017-0369-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0369-z","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1507.06691","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058872661","display_name":"Vincent J. Ervin","orcid":"https://orcid.org/0000-0003-2514-0408"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vincent J. Ervin","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, Clemson, SC, 29634-0975, USA","Department of Mathematical Sciences, Clemson University, Clemson, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, SC, 29634-0975, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012941359","display_name":"Thomas F\u00fchrer","orcid":"https://orcid.org/0000-0001-5034-6593"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Thomas F\u00fchrer","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Avenida Vicu\u00f1a Mackenna 4860, Macul, Santiago, Chile","Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Macul, Chile"],"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Avenida Vicu\u00f1a Mackenna 4860, Macul, Santiago, Chile","institution_ids":["https://openalex.org/I162148367"]},{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Macul, Chile","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005069559","display_name":"Norbert Heuer","orcid":"https://orcid.org/0000-0002-5171-1457"},"institutions":[{"id":"https://openalex.org/I162148367","display_name":"Pontificia Universidad Cat\u00f3lica de Chile","ror":"https://ror.org/04teye511","country_code":"CL","type":"education","lineage":["https://openalex.org/I162148367"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Norbert Heuer","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Avenida Vicu\u00f1a Mackenna 4860, Macul, Santiago, Chile","Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Macul, Chile"],"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Avenida Vicu\u00f1a Mackenna 4860, Macul, Santiago, Chile","institution_ids":["https://openalex.org/I162148367"]},{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Pontificia Universidad Cat\u00f3lica de Chile, Macul, Chile","institution_ids":["https://openalex.org/I162148367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022638379","display_name":"Michael Karkulik","orcid":"https://orcid.org/0009-0007-2001-4433"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Michael Karkulik","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Avenida Espa\u00f1a 1680, Valparaiso, Chile","Departamento De Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Valpara\u00edso, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Avenida Espa\u00f1a 1680, Valparaiso, Chile","institution_ids":["https://openalex.org/I75778554"]},{"raw_affiliation_string":"Departamento De Matem\u00e1tica, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Valpara\u00edso, Chile","institution_ids":["https://openalex.org/I75778554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058872661"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00035625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"2","first_page":"568","last_page":"585"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7618964314460754},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.6925420761108398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6799215078353882},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.635744035243988},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6273953914642334},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6186767220497131},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5926995277404785},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49433302879333496},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4413920044898987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16609328985214233},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14920347929000854},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08551651239395142},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06991985440254211}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7618964314460754},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.6925420761108398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6799215078353882},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.635744035243988},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6273953914642334},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6186767220497131},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5926995277404785},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49433302879333496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4413920044898987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16609328985214233},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14920347929000854},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08551651239395142},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06991985440254211},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10915-017-0369-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0369-z","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1507.06691","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.06691","pdf_url":"https://arxiv.org/pdf/1507.06691","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:1454353046","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1507.06691.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1507.06691","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1507.06691","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1507.06691","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.06691","pdf_url":"https://arxiv.org/pdf/1507.06691","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W29544244","https://openalex.org/W1533889494","https://openalex.org/W1708679080","https://openalex.org/W1776097589","https://openalex.org/W1963659668","https://openalex.org/W1966513244","https://openalex.org/W1967469744","https://openalex.org/W1973595837","https://openalex.org/W1976385614","https://openalex.org/W1986544454","https://openalex.org/W1988571032","https://openalex.org/W1989445786","https://openalex.org/W1999003238","https://openalex.org/W2000659785","https://openalex.org/W2004872575","https://openalex.org/W2006376697","https://openalex.org/W2009456713","https://openalex.org/W2013820654","https://openalex.org/W2015148405","https://openalex.org/W2021411519","https://openalex.org/W2024606917","https://openalex.org/W2033168621","https://openalex.org/W2033593438","https://openalex.org/W2040558735","https://openalex.org/W2048805000","https://openalex.org/W2048846455","https://openalex.org/W2057644340","https://openalex.org/W2060065779","https://openalex.org/W2065390423","https://openalex.org/W2078375516","https://openalex.org/W2090539565","https://openalex.org/W2092146111","https://openalex.org/W2092718516","https://openalex.org/W2107162131","https://openalex.org/W2119759746","https://openalex.org/W2124303144","https://openalex.org/W2127684492","https://openalex.org/W2127769310","https://openalex.org/W2140057174","https://openalex.org/W2158928686","https://openalex.org/W2167013195","https://openalex.org/W2322007186","https://openalex.org/W2465652247","https://openalex.org/W2592662912","https://openalex.org/W2949861766","https://openalex.org/W2963226089","https://openalex.org/W3038830718","https://openalex.org/W3122997955","https://openalex.org/W4211052487"],"related_works":["https://openalex.org/W2963429699","https://openalex.org/W3043234374","https://openalex.org/W3184003876","https://openalex.org/W2065647211","https://openalex.org/W1968477354","https://openalex.org/W2606835699","https://openalex.org/W2952891345","https://openalex.org/W2790587009","https://openalex.org/W2327215778","https://openalex.org/W2801411804","https://openalex.org/W2148378097","https://openalex.org/W2221346478","https://openalex.org/W3110369280","https://openalex.org/W2004580574","https://openalex.org/W2387424086","https://openalex.org/W2162162235","https://openalex.org/W2329822558","https://openalex.org/W2001011967","https://openalex.org/W2022121976","https://openalex.org/W2088779011"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
