{"id":"https://openalex.org/W4386556243","doi":"https://doi.org/10.48550/arxiv.2309.02980","title":"A High-Order Ultra-Weak Variational Formulation for Electromagnetic Waves Utilizing Curved Elements","display_name":"A High-Order Ultra-Weak Variational Formulation for Electromagnetic Waves Utilizing Curved Elements","publication_year":2023,"publication_date":"2023-09-06","ids":{"openalex":"https://openalex.org/W4386556243","doi":"https://doi.org/10.48550/arxiv.2309.02980"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2309.02980","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.02980","pdf_url":"https://arxiv.org/pdf/2309.02980","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2309.02980","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065146395","display_name":"Timo L\u00e4hivaara","orcid":"https://orcid.org/0000-0003-0719-1973"},"institutions":[{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"L\u00e4hivaara, Timo","raw_affiliation_strings":["Department of Technical Physics, University of Eastern Finland, Kuopio, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Technical Physics, University of Eastern Finland, Kuopio, Finland","institution_ids":["https://openalex.org/I175532246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103112907","display_name":"W. F. Hall","orcid":"https://orcid.org/0009-0004-8695-3837"},"institutions":[{"id":"https://openalex.org/I4210156045","display_name":"HyPerComp Engineering (United States)","ror":"https://ror.org/058twjz75","country_code":"US","type":"company","lineage":["https://openalex.org/I4210156045"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hall, William F.","raw_affiliation_strings":["HyperComp Inc., Westlake Village, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HyperComp Inc., Westlake Village, USA","institution_ids":["https://openalex.org/I4210156045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073964117","display_name":"Matti Malinen","orcid":"https://orcid.org/0009-0008-5404-1867"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Malinen, Matti","raw_affiliation_strings":["Kuava Ltd., Kuopio, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kuava Ltd., Kuopio, Finland","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016658994","display_name":"Dale Ota","orcid":null},"institutions":[{"id":"https://openalex.org/I4210156045","display_name":"HyPerComp Engineering (United States)","ror":"https://ror.org/058twjz75","country_code":"US","type":"company","lineage":["https://openalex.org/I4210156045"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ota, Dale","raw_affiliation_strings":["HyperComp Inc., Westlake Village, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HyperComp Inc., Westlake Village, USA","institution_ids":["https://openalex.org/I4210156045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103628698","display_name":"Vijaya Shankar","orcid":"https://orcid.org/0000-0002-3769-6801"},"institutions":[{"id":"https://openalex.org/I4210156045","display_name":"HyPerComp Engineering (United States)","ror":"https://ror.org/058twjz75","country_code":"US","type":"company","lineage":["https://openalex.org/I4210156045"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shankar, Vijaya","raw_affiliation_strings":["HyperComp Inc., Westlake Village, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HyperComp Inc., Westlake Village, USA","institution_ids":["https://openalex.org/I4210156045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028510993","display_name":"Peter Monk","orcid":"https://orcid.org/0000-0002-6539-5897"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Monk, Peter","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, USA","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":1.0,"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":1.0,"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":0.9995999932289124,"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/T10514","display_name":"Numerical methods in engineering","score":0.9988999962806702,"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/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5768387913703918},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5733963847160339},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5730165839195251},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5372379422187805},{"id":"https://openalex.org/keywords/perfect-conductor","display_name":"Perfect conductor","score":0.5310177206993103},{"id":"https://openalex.org/keywords/resistive-touchscreen","display_name":"Resistive touchscreen","score":0.44899269938468933},{"id":"https://openalex.org/keywords/plane-wave","display_name":"Plane wave","score":0.43731772899627686},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4269115626811981},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42451730370521545},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.4216195046901703},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40768685936927795},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.40661805868148804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34131962060928345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3173556327819824},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2446514070034027},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.21482634544372559}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5768387913703918},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5733963847160339},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5730165839195251},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5372379422187805},{"id":"https://openalex.org/C16519606","wikidata":"https://www.wikidata.org/wiki/Q897715","display_name":"Perfect conductor","level":3,"score":0.5310177206993103},{"id":"https://openalex.org/C6899612","wikidata":"https://www.wikidata.org/wiki/Q852911","display_name":"Resistive touchscreen","level":2,"score":0.44899269938468933},{"id":"https://openalex.org/C40308292","wikidata":"https://www.wikidata.org/wiki/Q122518","display_name":"Plane wave","level":2,"score":0.43731772899627686},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4269115626811981},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42451730370521545},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.4216195046901703},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40768685936927795},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.40661805868148804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34131962060928345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3173556327819824},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2446514070034027},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.21482634544372559},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2309.02980","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.02980","pdf_url":"https://arxiv.org/pdf/2309.02980","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"doi:10.48550/arxiv.2309.02980","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2309.02980","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2309.02980","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2309.02980","pdf_url":"https://arxiv.org/pdf/2309.02980","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W151351324","https://openalex.org/W2003017040","https://openalex.org/W2005047411","https://openalex.org/W2017607754","https://openalex.org/W2046925544","https://openalex.org/W2050690821","https://openalex.org/W2051710235","https://openalex.org/W2070232376","https://openalex.org/W2075828491","https://openalex.org/W2092039701","https://openalex.org/W2097251505","https://openalex.org/W2150892223","https://openalex.org/W2168644075","https://openalex.org/W2554456290","https://openalex.org/W3046457476","https://openalex.org/W3195863605","https://openalex.org/W4221090430","https://openalex.org/W4281736479","https://openalex.org/W4299657718","https://openalex.org/W4377047533"],"related_works":["https://openalex.org/W2953079798","https://openalex.org/W1969674427","https://openalex.org/W4295815745","https://openalex.org/W3092754077","https://openalex.org/W1943927944","https://openalex.org/W2106524561","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440","https://openalex.org/W2182708367"],"abstract_inverted_index":{"The":[0,20,156],"Ultra":[1],"Weak":[2],"Variational":[3],"Formulation":[4],"(UWVF)":[5],"is":[6,131],"a":[7,32,80,103,127],"special":[8],"Trefftz":[9],"discontinuous":[10],"Galerkin":[11],"method,":[12],"here":[13],"applied":[14],"to":[15,27,78,95,119,133],"the":[16,49,59,66,89,113,120,123,146,154,177,193,196],"time-harmonic":[17],"Maxwell's":[18],"equations.":[19],"method":[21,157],"uses":[22],"superpositions":[23],"of":[24,51,61,106,122,195],"plane":[25],"waves":[26],"represent":[28],"solutions":[29,47],"element-wise":[30],"on":[31,38],"finite":[33],"element":[34,107],"mesh.":[35],"We":[36,57,74,99],"focus":[37],"our":[39],"parallel":[40],"UWVF":[41,197],"implementation,":[42],"called":[43],"ParMax,":[44],"emphasizing":[45],"high-order":[46],"in":[48,153],"presence":[50],"scatterers":[52],"with":[53,88],"piecewise":[54],"smooth":[55],"boundaries.":[56],"explain":[58],"incorporation":[60],"curved":[62,151,174],"surface":[63],"triangles":[64],"into":[65],"UWVF,":[67],"necessitating":[68],"quadrature":[69],"for":[70,198],"system":[71],"matrix":[72],"assembly.":[73],"also":[75,101],"show":[76],"how":[77],"implement":[79,134],"total":[81],"field":[82,85],"and":[83,125,168,176],"scattered":[84],"approach,":[86,180],"together":[87],"transmission":[90],"conditions":[91],"across":[92],"an":[93,188],"interface":[94],"handle":[96],"resistive":[97,160],"sheets.":[98],"note":[100],"that":[102,112,126],"wide":[104],"variety":[105],"shapes":[108],"can":[109,115],"be":[110,116],"used,":[111],"elements":[114,152,175],"large":[117,173],"compared":[118],"wavelength":[121],"radiation,":[124],"low":[128,178],"memory":[129,179],"version":[130],"easy":[132],"(although":[135],"computationally":[136],"costly).":[137],"Our":[138],"contributions":[139],"are":[140],"illustrated":[141],"through":[142],"numerical":[143],"examples":[144],"demonstrating":[145],"efficiency":[147],"enhancement":[148],"achieved":[149],"by":[150],"UWVF.":[155],"accurately":[158],"handles":[159],"screens,":[161],"as":[162,164],"well":[163],"perfect":[165],"electric":[166],"conductor":[167],"penetrable":[169],"scatterers.":[170],"By":[171],"employing":[172],"we":[181],"successfully":[182],"simulated":[183],"X-band":[184],"frequency":[185],"scattering":[186],"from":[187],"aircraft.":[189],"These":[190],"innovations":[191],"demonstrate":[192],"practicality":[194],"industrial":[199],"applications.":[200]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}