{"id":"https://openalex.org/W7154712117","doi":"https://doi.org/10.48550/arxiv.2604.15147","title":"Energy norm error estimates of a hybrid high-order method for the linear parabolic integro-differential equations on general meshes","display_name":"Energy norm error estimates of a hybrid high-order method for the linear parabolic integro-differential equations on general meshes","publication_year":2026,"publication_date":"2026-04-16","ids":{"openalex":"https://openalex.org/W7154712117","doi":"https://doi.org/10.48550/arxiv.2604.15147"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.15147","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.15147","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.15147","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113758277","display_name":"Amruta Mohapatra","orcid":"https://orcid.org/0009-0001-1048-6804"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mohapatra, Achyuta Ranjan Dutta","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113758277"],"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.5327000021934509,"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":0.5327000021934509,"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/T11416","display_name":"Numerical methods for differential equations","score":0.24150000512599945,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.053300000727176666,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7839999794960022},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6309999823570251},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5217999815940857},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5144000053405762},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.4645000100135803},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.45969998836517334},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.45489999651908875},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44850000739097595},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44699999690055847}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7839999794960022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7639999985694885},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6309999823570251},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5376999974250793},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5217999815940857},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5144000053405762},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.4645000100135803},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.45969998836517334},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.45489999651908875},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44850000739097595},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44699999690055847},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4361000061035156},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4138999879360199},{"id":"https://openalex.org/C2778327290","wikidata":"https://www.wikidata.org/wiki/Q17146496","display_name":"Temporal discretization","level":3,"score":0.3977999985218048},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.33640000224113464},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.29589998722076416},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.2906999886035919},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2791999876499176},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.27230000495910645},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.26339998841285706},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.25870001316070557}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.15147","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.15147","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.15147","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.15147","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"score":0.43074458837509155,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"are":[1,48,94,124],"concerned":[2],"in":[3,50,115],"designing":[4],"a":[5,60,71,81],"suitable":[6],"numerical":[7],"scheme":[8,73],"based":[9],"on":[10,66,126],"the":[11,18,29,37,41,56,67,75,89,100,109,131],"equal-order":[12,30],"hybrid":[13],"high-order":[14],"(HHO)":[15],"method":[16,32],"for":[17,55],"linear":[19],"parabolic":[20],"integro-differential":[21],"equations.":[22],"The":[23,45,86],"spatial":[24],"discretization":[25,63],"is":[26,64,78,108],"made":[27],"using":[28,70,80],"HHO":[31],"and":[33,118],"subsequently":[34],"we":[35],"perform":[36],"stability":[38,87],"analysis":[39],"of":[40,88,99,103,111],"corresponding":[42],"semi-discrete":[43,57],"scheme.":[44],"convergence":[46],"results":[47],"presented":[49],"suitably":[51],"defined":[52],"Bochner":[53],"norms":[54],"problem.":[58],"Then":[59],"second-order":[61],"temporal":[62],"implemented":[65],"time":[68],"domain":[69],"Crank-Nicolson":[72],"where":[74],"memory":[76],"term":[77],"approximated":[79],"composite":[82],"trapezoidal":[83],"quadrature":[84],"rule.":[85],"resultant":[90],"complete":[91],"discrete":[92,116],"schemes":[93],"analyzed":[95],"followed":[96],"by":[97],"derivation":[98],"error":[101],"estimates":[102],"order":[104],"$\\mathcal{O}(\u03c4^{2}+h^{k+1})$,":[105],"$k\\ge":[106],"0$":[107],"degree":[110],"local":[112],"polynomial":[113],"approximation,":[114],"$l^{2}(0,T;H^{1}(\u03a9))$":[117],"$l^{\\infty}(0,T;H^{1}(\u03a9))$":[119],"like":[120],"norms.":[121],"Numerical":[122],"illustrations":[123],"performed":[125],"some":[127],"polygonal":[128],"meshes":[129],"validating":[130],"theoretical":[132],"estimates.":[133]},"counts_by_year":[],"updated_date":"2026-04-18T06:05:20.339008","created_date":"2026-04-18T00:00:00"}