{"id":"https://openalex.org/W2144040012","doi":"https://doi.org/10.1007/s00211-003-0476-7","title":"Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids","display_name":"Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids","publication_year":2003,"publication_date":"2003-12-01","ids":{"openalex":"https://openalex.org/W2144040012","doi":"https://doi.org/10.1007/s00211-003-0476-7","mag":"2144040012"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-003-0476-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-003-0476-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077310702","display_name":"Raytcho Lazarov","orcid":"https://orcid.org/0000-0002-4911-3685"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R.D. Lazarov","raw_affiliation_strings":["Department of Mathematics, Texas A & M University, College Station, TX 77843, USA","Department of Mathematics, Texas A & M University, USA TX 77843#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A & M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics, Texas A & M University, USA TX 77843#TAB#","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113545293","display_name":"Joseph E. Pasciak","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.E. Pasciak","raw_affiliation_strings":["Department of Mathematics, Texas A & M University, College Station, TX 77843, USA","Department of Mathematics, Texas A & M University, USA TX 77843#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas A & M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Mathematics, Texas A & M University, USA TX 77843#TAB#","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097691628","display_name":"Joachim Sch\ufffdberl","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"J. Sch\ufffdberl","raw_affiliation_strings":["Institute f\u00fcr Mathematik, Johannes-Kepler-Universit\u00e4t, Linz, Austria 4040#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute f\u00fcr Mathematik, Johannes-Kepler-Universit\u00e4t, Linz, Austria 4040#TAB#","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027636165","display_name":"Panayot S. Vassilevski","orcid":"https://orcid.org/0000-0002-5294-7242"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P.S. Vassilevski","raw_affiliation_strings":["Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Mail Stop L-560, East Avenue,7000, Livermore, CA, 94550, USA","Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, USA 94550#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Mail Stop L-560, East Avenue,7000, Livermore, CA, 94550, USA","institution_ids":["https://openalex.org/I1282311441"]},{"raw_affiliation_string":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, USA 94550#TAB#","institution_ids":["https://openalex.org/I1282311441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5077310702"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4576,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.69101864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"96","issue":"2","first_page":"295","last_page":"315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":1.0,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":1.0,"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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/mathematics","display_name":"Mathematics","score":0.8110267519950867},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6420297026634216},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5405122637748718},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5023846626281738},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.501112699508667},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.48649710416793823},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4852983355522156},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4803520441055298},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4604857861995697},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4566149115562439},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4396028518676758},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3900807499885559},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3047201633453369}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8110267519950867},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6420297026634216},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5405122637748718},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5023846626281738},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.501112699508667},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.48649710416793823},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4852983355522156},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4803520441055298},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4604857861995697},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4566149115562439},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4396028518676758},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3900807499885559},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3047201633453369},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00211-003-0476-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-003-0476-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.20.8508","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.8508","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.sfb013.uni-linz.ac.at/~joachim/papers/intpenalty.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.367.5236","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.367.5236","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.isc.tamu.edu/publications-reports/tr/0105.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.724.3442","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.724.3442","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.asc.tuwien.ac.at/%7Eschoeberl/wiki/publications/intpenalty.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W904235","https://openalex.org/W50889260","https://openalex.org/W173036505","https://openalex.org/W203115219","https://openalex.org/W222841820","https://openalex.org/W1575849776","https://openalex.org/W1585098889","https://openalex.org/W1852082788","https://openalex.org/W1973312823","https://openalex.org/W1985570191","https://openalex.org/W1985903978","https://openalex.org/W1988570599","https://openalex.org/W2028815882","https://openalex.org/W2029119302","https://openalex.org/W2029725158","https://openalex.org/W2030471837","https://openalex.org/W2041523977","https://openalex.org/W2055962135","https://openalex.org/W2079423956","https://openalex.org/W2113227897","https://openalex.org/W2116226692","https://openalex.org/W2130350269","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W2062802260","https://openalex.org/W1977335770","https://openalex.org/W2012481935","https://openalex.org/W1970507958","https://openalex.org/W3134574304","https://openalex.org/W2072590579","https://openalex.org/W258687875","https://openalex.org/W2916256435","https://openalex.org/W21663761","https://openalex.org/W1678403323"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
