{"id":"https://openalex.org/W1971386523","doi":"https://doi.org/10.1007/s00211-011-0425-9","title":"Adaptive finite element methods for computing band gaps in photonic crystals","display_name":"Adaptive finite element methods for computing band gaps in photonic crystals","publication_year":2011,"publication_date":"2011-11-10","ids":{"openalex":"https://openalex.org/W1971386523","doi":"https://doi.org/10.1007/s00211-011-0425-9","mag":"1971386523"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-011-0425-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-011-0425-9","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":true,"oa_status":"green","oa_url":"https://purehost.bath.ac.uk/ws/files/214693/Graham_Num-Math_2012_121_1_31.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037836168","display_name":"Stefano Giani","orcid":"https://orcid.org/0000-0002-8190-9958"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"S. Giani","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK","University of Nottingham, School of Mathematical Sciences, University Park, NG7 2RD, Nottingham, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"University of Nottingham, School of Mathematical Sciences, University Park, NG7 2RD, Nottingham, UK#TAB#","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064637859","display_name":"Ivan G. Graham","orcid":"https://orcid.org/0000-0002-5730-676X"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"I. G. Graham","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK","University of Bath, Department of Mathematical Sciences, BA2 7AY, Bath, UK#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"University of Bath, Department of Mathematical Sciences, BA2 7AY, Bath, UK#TAB#","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037836168"],"corresponding_institution_ids":["https://openalex.org/I142263535"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.7817,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.90187969,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"121","issue":"1","first_page":"31","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7907745242118835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7861635684967041},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.7089276313781738},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5868220925331116},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5409276485443115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5101547837257385},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.45047956705093384},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4472995102405548},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4381049573421478},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20797070860862732},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15546110272407532},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1075834333896637},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10251039266586304}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7907745242118835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7861635684967041},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.7089276313781738},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5868220925331116},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5409276485443115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5101547837257385},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.45047956705093384},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4472995102405548},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4381049573421478},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20797070860862732},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15546110272407532},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1075834333896637},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10251039266586304},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00211-011-0425-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-011-0425-9","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:dro.dur.ac.uk.OAI2:15138","is_oa":false,"landing_page_url":"http://dro.dur.ac.uk/15138/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Numerische Mathematik, 2012, Vol.121(1), pp.31-64 [Peer Reviewed Journal]","raw_type":"Article"},{"id":"pmh:oai:purehost.bath.ac.uk:openaire/a6e55b2a-ab39-4cd0-abfa-fc29c406caab","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/a6e55b2a-ab39-4cd0-abfa-fc29c406caab","pdf_url":"https://purehost.bath.ac.uk/ws/files/214693/Graham_Num-Math_2012_121_1_31.pdf","source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Giani, S & Graham, I G 2012, 'Adaptive finite element methods for computing band gaps in photonic crystals', Numerische Mathematik, vol. 121, no. 1, pp. 31-64. https://doi.org/10.1007/s00211-011-0425-9","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:durham-repository.worktribe.com:1466697","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1466697","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:opus.bath.ac.uk:29673","is_oa":false,"landing_page_url":"http://opus.bath.ac.uk/29673/1/Graham_Num%2DMath_2012_121_1_31.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401631","display_name":"The University of Bath Online Publications Store (The University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Articles"}],"best_oa_location":{"id":"pmh:oai:purehost.bath.ac.uk:openaire/a6e55b2a-ab39-4cd0-abfa-fc29c406caab","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/a6e55b2a-ab39-4cd0-abfa-fc29c406caab","pdf_url":"https://purehost.bath.ac.uk/ws/files/214693/Graham_Num-Math_2012_121_1_31.pdf","source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Giani, S & Graham, I G 2012, 'Adaptive finite element methods for computing band gaps in photonic crystals', Numerische Mathematik, vol. 121, no. 1, pp. 31-64. https://doi.org/10.1007/s00211-011-0425-9","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1971386523.pdf","grobid_xml":"https://content.openalex.org/works/W1971386523.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W127860710","https://openalex.org/W207909860","https://openalex.org/W1506690472","https://openalex.org/W1507437630","https://openalex.org/W1642884126","https://openalex.org/W1658301459","https://openalex.org/W1963738920","https://openalex.org/W1975075406","https://openalex.org/W1979081926","https://openalex.org/W1980865397","https://openalex.org/W1981792545","https://openalex.org/W2009985306","https://openalex.org/W2011964761","https://openalex.org/W2012291036","https://openalex.org/W2015776881","https://openalex.org/W2020854958","https://openalex.org/W2027415239","https://openalex.org/W2028056829","https://openalex.org/W2036772541","https://openalex.org/W2042615888","https://openalex.org/W2044355921","https://openalex.org/W2047315969","https://openalex.org/W2050225490","https://openalex.org/W2053688083","https://openalex.org/W2054722899","https://openalex.org/W2057292049","https://openalex.org/W2061047482","https://openalex.org/W2068079525","https://openalex.org/W2071036364","https://openalex.org/W2077763481","https://openalex.org/W2092388013","https://openalex.org/W2092987417","https://openalex.org/W2098678523","https://openalex.org/W2127010249","https://openalex.org/W2140505128","https://openalex.org/W2321310861","https://openalex.org/W2505585705","https://openalex.org/W2985152630","https://openalex.org/W4210375061","https://openalex.org/W4211134967","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2014800978","https://openalex.org/W1969730698","https://openalex.org/W1552276833","https://openalex.org/W2132583619","https://openalex.org/W1995228206","https://openalex.org/W2093822129","https://openalex.org/W3160358654","https://openalex.org/W2146051927","https://openalex.org/W2013379693","https://openalex.org/W2950761947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}