{"id":"https://openalex.org/W2974424777","doi":"https://doi.org/10.1007/978-3-030-41032-2_1","title":"First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations","display_name":"First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2974424777","doi":"https://doi.org/10.1007/978-3-030-41032-2_1","mag":"2974424777"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-41032-2_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-41032-2_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1909.08598","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040491922","display_name":"James H. Adler","orcid":null},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James H. Adler","raw_affiliation_strings":["Department of Mathematics, Tufts University, Medford, USA","Tufts University"],"raw_orcid":"https://orcid.org/0000-0002-6603-8840","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tufts University, Medford, USA","institution_ids":["https://openalex.org/I121934306"]},{"raw_affiliation_string":"Tufts University","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027208204","display_name":"Scott MacLachlan","orcid":"https://orcid.org/0000-0002-6364-0684"},"institutions":[{"id":"https://openalex.org/I130438778","display_name":"Memorial University of Newfoundland","ror":"https://ror.org/04haebc03","country_code":"CA","type":"education","lineage":["https://openalex.org/I130438778"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Scott MacLachlan","raw_affiliation_strings":["Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John\u2019s, Canada","Memorial University of Newfoundland ()"],"raw_orcid":"https://orcid.org/0000-0002-6364-0684","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John\u2019s, Canada","institution_ids":["https://openalex.org/I130438778"]},{"raw_affiliation_string":"Memorial University of Newfoundland ()","institution_ids":["https://openalex.org/I130438778"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063863790","display_name":"Niall Madden","orcid":"https://orcid.org/0000-0002-4327-4234"},"institutions":[{"id":"https://openalex.org/I188760350","display_name":"Ollscoil na Gaillimhe \u2013 University of Galway","ror":"https://ror.org/03bea9k73","country_code":"IE","type":"education","lineage":["https://openalex.org/I188760350"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Niall Madden","raw_affiliation_strings":["School of Mathematics, Statistics, and Applied Mathematics, National University of Ireland Galway, Galway, Ireland","National University of Ireland, Galway#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-4327-4234","affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics, and Applied Mathematics, National University of Ireland Galway, Galway, Ireland","institution_ids":["https://openalex.org/I188760350"]},{"raw_affiliation_string":"National University of Ireland, Galway#TAB#","institution_ids":["https://openalex.org/I188760350"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040491922"],"corresponding_institution_ids":["https://openalex.org/I121934306"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.03155007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.996399998664856,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7843518257141113},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7391959428787231},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7122628688812256},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7106847763061523},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6577228307723999},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6142335534095764},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5713055729866028},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5490914583206177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5364658832550049},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5210227966308594},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.5036997199058533},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34212902188301086},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14862477779388428},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07647436857223511}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7843518257141113},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7391959428787231},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7122628688812256},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7106847763061523},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6577228307723999},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6142335534095764},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5713055729866028},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5490914583206177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5364658832550049},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5210227966308594},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.5036997199058533},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34212902188301086},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14862477779388428},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07647436857223511},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-030-41032-2_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-41032-2_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1909.08598","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.08598","pdf_url":"https://arxiv.org/pdf/1909.08598","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:2974424777","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1909.08598.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.1909.08598","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1909.08598","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:1909.08598","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.08598","pdf_url":"https://arxiv.org/pdf/1909.08598","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":18,"referenced_works":["https://openalex.org/W62043397","https://openalex.org/W1984701620","https://openalex.org/W1994912903","https://openalex.org/W2042148637","https://openalex.org/W2059030063","https://openalex.org/W2061478941","https://openalex.org/W2121096325","https://openalex.org/W2132292023","https://openalex.org/W2164774851","https://openalex.org/W2168522485","https://openalex.org/W2211063485","https://openalex.org/W2274348636","https://openalex.org/W2792656308","https://openalex.org/W3101420424","https://openalex.org/W3104566386","https://openalex.org/W4212955198","https://openalex.org/W4230108662","https://openalex.org/W4235931046"],"related_works":["https://openalex.org/W1977399978","https://openalex.org/W3122422644","https://openalex.org/W3013616974","https://openalex.org/W2076315403","https://openalex.org/W3172617492","https://openalex.org/W2056717453","https://openalex.org/W3194689365","https://openalex.org/W3147901016","https://openalex.org/W2912658897","https://openalex.org/W3172723784","https://openalex.org/W1481263967","https://openalex.org/W1553864832","https://openalex.org/W2340542308","https://openalex.org/W1973232334","https://openalex.org/W1744409012","https://openalex.org/W2923116808","https://openalex.org/W2138982198","https://openalex.org/W1930491453","https://openalex.org/W2090615286","https://openalex.org/W3011961796"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}