{"id":"https://openalex.org/W2013500051","doi":"https://doi.org/10.2478/cmam-2011-0010","title":"Layer-adapted methods for a singularly perturbed singular problem","display_name":"Layer-adapted methods for a singularly perturbed singular problem","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2013500051","doi":"https://doi.org/10.2478/cmam-2011-0010","mag":"2013500051"},"language":"en","primary_location":{"id":"doi:10.2478/cmam-2011-0010","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2011-0010","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2011-0010/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2011-0010/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109211323","display_name":"Christian Gro\u00dfmann","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Grossmann","raw_affiliation_strings":["1nst. fur Numerische Mathematik, Technische Universitat Dresden, Mommsenstr. 13, 01062 Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1nst. fur Numerische Mathematik, Technische Universitat Dresden, Mommsenstr. 13, 01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073025686","display_name":"Lars Ludwig","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Ludwig","raw_affiliation_strings":["1nst. fur Numerische Mathematik, Technische Universitat Dresden, Mommsenstr. 13, 01062 Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1nst. fur Numerische Mathematik, Technische Universitat Dresden, Mommsenstr. 13, 01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112026220","display_name":"Hans\u2010G\u00f6rg Roos","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans-G\u00f6rg Roos","raw_affiliation_strings":["1nst. fur Numerische Mathematik, Technische Universitat Dresden, Mommsenstr. 13, 01062 Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1nst. fur Numerische Mathematik, Technische Universitat Dresden, Mommsenstr. 13, 01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109211323"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10996342,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"2","first_page":"192","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T13685","display_name":"Material Science and Thermodynamics","score":0.9567999839782715,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/polygon-mesh","display_name":"Polygon mesh","score":0.6812570691108704},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6686480641365051},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.6310866475105286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5872359275817871},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5189509391784668},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.490726113319397},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.48975276947021484},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4883856177330017},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4802313446998596},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.45085588097572327},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.416192889213562},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4026201069355011},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19165056943893433},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08891913294792175},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.04772275686264038}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6812570691108704},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6686480641365051},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.6310866475105286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5872359275817871},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5189509391784668},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.490726113319397},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.48975276947021484},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4883856177330017},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4802313446998596},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.45085588097572327},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.416192889213562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4026201069355011},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19165056943893433},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08891913294792175},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.04772275686264038},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2478/cmam-2011-0010","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2011-0010","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2011-0010/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2478/cmam-2011-0010","is_oa":true,"landing_page_url":"https://doi.org/10.2478/cmam-2011-0010","pdf_url":"https://www.degruyter.com/document/doi/10.2478/cmam-2011-0010/pdf","source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2013500051.pdf","grobid_xml":"https://content.openalex.org/works/W2013500051.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W577555718","https://openalex.org/W2014646453","https://openalex.org/W2078398994","https://openalex.org/W2095817904","https://openalex.org/W4235931046","https://openalex.org/W4251375806","https://openalex.org/W6606599013"],"related_works":["https://openalex.org/W2049939404","https://openalex.org/W3021415109","https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2034875467","https://openalex.org/W76811607","https://openalex.org/W2079401649","https://openalex.org/W2265431734","https://openalex.org/W2028455732","https://openalex.org/W4388316559"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"the":[2,22,38],"present":[3],"paper":[4],"we":[5,32],"analyze":[6],"linear":[7],"finite":[8],"elements":[9],"on":[10],"a":[11,16,25,29],"layer":[12,27],"adapted":[13,41,56,59,69],"mesh":[14],"for":[15,65],"boundary":[17,26],"value":[18],"problem":[19,68],"characterized":[20],"by":[21],"overlapping":[23],"of":[24,40],"with":[28,37],"singularity.":[30],"Moreover,":[31],"compare":[33],"this":[34],"approach":[35],"numerically":[36],"use":[39],"basis":[42,60],"functions,":[43],"in":[44],"our":[45,66],"case":[46],"modified":[47],"Bessel":[48],"functions.":[49],"It":[50],"turns":[51],"out":[52],"that":[53],"as":[54,58],"well":[55],"meshes":[57],"functions":[61],"are":[62],"suitable":[63],"where":[64],"one-dimensional":[67],"bases":[70],"work":[71],"slightly":[72],"better.":[73]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}