{"id":"https://openalex.org/W1980362955","doi":"https://doi.org/10.1007/s00607-012-0257-1","title":"An adaptive $$hp$$ -DG method with dynamically-changing meshes for non-stationary compressible Euler equations","display_name":"An adaptive $$hp$$ -DG method with dynamically-changing meshes for non-stationary compressible Euler equations","publication_year":2012,"publication_date":"2012-12-28","ids":{"openalex":"https://openalex.org/W1980362955","doi":"https://doi.org/10.1007/s00607-012-0257-1","mag":"1980362955"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-012-0257-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-012-0257-1","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5005598032","display_name":"Lukas Korous","orcid":null},"institutions":[{"id":"https://openalex.org/I4210132192","display_name":"Czech Academy of Sciences, Institute of Thermomechanics","ror":"https://ror.org/03fvq2a72","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210132192"]},{"id":"https://openalex.org/I92715842","display_name":"University of West Bohemia","ror":"https://ror.org/040t43x18","country_code":"CZ","type":"education","lineage":["https://openalex.org/I92715842"]},{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"funder","lineage":["https://openalex.org/I202391551"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Lukas Korous","raw_affiliation_strings":["Department of Theory of Electrical Engineering, Faculty of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic","Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Prague, Czech Republic","Academy of Sciences of the Czech Republic","University of West Bohemia"],"affiliations":[{"raw_affiliation_string":"Department of Theory of Electrical Engineering, Faculty of Electrical Engineering, University of West Bohemia, Pilsen, Czech Republic","institution_ids":["https://openalex.org/I92715842"]},{"raw_affiliation_string":"Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210132192"]},{"raw_affiliation_string":"Academy of Sciences of the Czech Republic","institution_ids":["https://openalex.org/I202391551"]},{"raw_affiliation_string":"University of West Bohemia","institution_ids":["https://openalex.org/I92715842"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084285423","display_name":"Pavel \u0160ol\u0131\u0301n","orcid":"https://orcid.org/0009-0005-8781-975X"},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"funder","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I4210132192","display_name":"Czech Academy of Sciences, Institute of Thermomechanics","ror":"https://ror.org/03fvq2a72","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210132192"]},{"id":"https://openalex.org/I134113660","display_name":"University of Nevada, Reno","ror":"https://ror.org/01keh0577","country_code":"US","type":"education","lineage":["https://openalex.org/I134113660"]}],"countries":["CZ","US"],"is_corresponding":false,"raw_author_name":"Pavel Solin","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Nevada, Reno, USA","Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Prague, Czech Republic","University of Nevada","Academy of Sciences of the Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Nevada, Reno, USA","institution_ids":["https://openalex.org/I134113660"]},{"raw_affiliation_string":"Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210132192"]},{"raw_affiliation_string":"University of Nevada","institution_ids":["https://openalex.org/I134113660"]},{"raw_affiliation_string":"Academy of Sciences of the Czech Republic","institution_ids":["https://openalex.org/I202391551"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005598032"],"corresponding_institution_ids":["https://openalex.org/I202391551","https://openalex.org/I4210132192","https://openalex.org/I92715842"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3512,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.60073687,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"95","issue":"S1","first_page":"425","last_page":"444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/inviscid-flow","display_name":"Inviscid flow","score":0.8797552585601807},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7520556449890137},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7476204633712769},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7449948787689209},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7263710498809814},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.6303418874740601},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.5784228444099426},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5477941036224365},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5388076305389404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48835036158561707},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4602564573287964},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.4600065052509308},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.45334482192993164},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.41787731647491455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3669995069503784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35421597957611084},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.24109166860580444},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18610098958015442},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1475183665752411},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.14542725682258606},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.12750244140625}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.8797552585601807},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7520556449890137},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7476204633712769},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7449948787689209},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7263710498809814},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.6303418874740601},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.5784228444099426},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5477941036224365},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5388076305389404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48835036158561707},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4602564573287964},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.4600065052509308},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.45334482192993164},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.41787731647491455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3669995069503784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35421597957611084},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.24109166860580444},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18610098958015442},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1475183665752411},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.14542725682258606},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.12750244140625},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00607-012-0257-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-012-0257-1","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:asep.lib.cas.cz:CavUnEpca/0438702","is_oa":false,"landing_page_url":"http://hdl.handle.net/11104/0242151","pdf_url":null,"source":{"id":"https://openalex.org/S7407055266","display_name":"ASEP","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W611211506","https://openalex.org/W841836366","https://openalex.org/W1488721774","https://openalex.org/W1566762610","https://openalex.org/W1603402123","https://openalex.org/W1989019312","https://openalex.org/W1991230797","https://openalex.org/W2001682108","https://openalex.org/W2025406162","https://openalex.org/W2047555787","https://openalex.org/W2056299084","https://openalex.org/W2065327216","https://openalex.org/W2109120129","https://openalex.org/W2274976253","https://openalex.org/W4388397083"],"related_works":["https://openalex.org/W2029877474","https://openalex.org/W4300105121","https://openalex.org/W2936887813","https://openalex.org/W4226163825","https://openalex.org/W2963315378","https://openalex.org/W4379538724","https://openalex.org/W4387702698","https://openalex.org/W3211383997","https://openalex.org/W2066021295","https://openalex.org/W110576795"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}