{"id":"https://openalex.org/W2345994295","doi":"https://doi.org/10.1137/16m1073339","title":"Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions","display_name":"Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2345994295","doi":"https://doi.org/10.1137/16m1073339","mag":"2345994295"},"language":"en","primary_location":{"id":"doi:10.1137/16m1073339","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073339","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1605.00156","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040491922","display_name":"James H. Adler","orcid":"https://orcid.org/0000-0002-6603-8840"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. H. Adler","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029270343","display_name":"Xiaozhe Hu","orcid":"https://orcid.org/0000-0001-7533-0416"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"X. Hu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5074536850","display_name":"Ludmil Zikatanov","orcid":"https://orcid.org/0000-0002-5189-4230"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. T. Zikatanov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00440619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"5","first_page":"S3","last_page":"S23"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.765230119228363},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6778823137283325},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6740259528160095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6428347826004028},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6206658482551575},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5283430814743042},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5266211628913879},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.498401403427124},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4737183451652527},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45117491483688354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34543576836586},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15976229310035706},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12502959370613098}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.765230119228363},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6778823137283325},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6740259528160095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6428347826004028},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6206658482551575},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5283430814743042},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5266211628913879},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.498401403427124},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4737183451652527},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45117491483688354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34543576836586},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15976229310035706},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12502959370613098},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/16m1073339","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073339","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1605.00156","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1605.00156","pdf_url":"https://arxiv.org/pdf/1605.00156","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":"mag:2345994295","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1605.00156","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1605.00156","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1605.00156","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1605.00156","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1605.00156","pdf_url":"https://arxiv.org/pdf/1605.00156","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":[],"awards":[{"id":"https://openalex.org/G2058925047","display_name":null,"funder_award_id":"DMS-1418843","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2322003512","display_name":"Collaborative Research: Advanced Numerical Techniques for the Simulation of Magnetohydrodynamics","funder_award_id":"1216972","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3646641531","display_name":"Upscaling and multilevel methods for three dimensional elasticity via element agglomeration","funder_award_id":"1418843","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4200923123","display_name":null,"funder_award_id":"DMS-1522615","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G474071187","display_name":"Integrated Geometric and Algebraic Multigrid Methods","funder_award_id":"1522615","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7701653988","display_name":null,"funder_award_id":"DMS-1216972","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2345994295.pdf","grobid_xml":"https://content.openalex.org/works/W2345994295.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W168666756","https://openalex.org/W587555435","https://openalex.org/W1964511845","https://openalex.org/W1966886095","https://openalex.org/W1971274288","https://openalex.org/W1973709085","https://openalex.org/W1980053021","https://openalex.org/W1991285463","https://openalex.org/W1993029535","https://openalex.org/W1999331305","https://openalex.org/W2005047411","https://openalex.org/W2007894711","https://openalex.org/W2055116131","https://openalex.org/W2093753671","https://openalex.org/W2130984932","https://openalex.org/W2133248904","https://openalex.org/W2140153041","https://openalex.org/W2141870784","https://openalex.org/W2963214484","https://openalex.org/W2964330966","https://openalex.org/W4232109906","https://openalex.org/W4243303085"],"related_works":["https://openalex.org/W2963038527","https://openalex.org/W2963169355","https://openalex.org/W2011095639","https://openalex.org/W1530964547","https://openalex.org/W3161611568","https://openalex.org/W3015140801","https://openalex.org/W2963471383","https://openalex.org/W576638141","https://openalex.org/W2508522299","https://openalex.org/W2734104815","https://openalex.org/W2540626350","https://openalex.org/W2567010287","https://openalex.org/W27213331","https://openalex.org/W1585191333","https://openalex.org/W355967894","https://openalex.org/W2596314026","https://openalex.org/W1904912646","https://openalex.org/W2164216526","https://openalex.org/W2622319464","https://openalex.org/W1968698318"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"design":[4],"robust":[5],"and":[6,35,45,92,98],"efficient":[7],"linear":[8,78],"solvers":[9],"for":[10,80],"the":[11,43,62,66,77,82],"numerical":[12,101],"approximation":[13,28],"of":[14,53,65,76,94],"solutions":[15],"to":[16,41],"Maxwell's":[17],"equations":[18],"with":[19,29],"dissipative":[20],"boundary":[21],"conditions.":[22],"We":[23,48,89],"consider":[24],"a":[25,36],"structure-preserving":[26,83],"finite-element":[27],"standard":[30],"N\u00e9d\u00e9lec--Raviart--Thomas":[31],"elements":[32],"in":[33,39],"space":[34],"Crank--Nicolson":[37],"scheme":[38],"time":[40],"approximate":[42],"electric":[44],"magnetic":[46],"fields.":[47],"focus":[49],"on":[50,61],"two":[51],"types":[52],"block":[54,74,96],"preconditioners.":[55],"The":[56,69],"first":[57],"type":[58],"is":[59],"based":[60],"well-posedness":[63],"results":[64],"discrete":[67],"problem.":[68],"second":[70],"uses":[71],"an":[72],"exact":[73],"factorization":[75],"system,":[79],"which":[81],"discretization":[84],"yields":[85],"sparse":[86],"Schur":[87],"complements.":[88],"prove":[90],"robustness":[91],"optimality":[93],"these":[95],"preconditioners":[97],"provide":[99],"supporting":[100],"tests.":[102]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2022-10-01T00:00:00"}