{"id":"https://openalex.org/W1538926230","doi":"https://doi.org/10.1007/978-3-540-69384-0_107","title":"Application of R-Functions Method and Parallel Computations to the Solution of 2D Elliptic Boundary Value Problems","display_name":"Application of R-Functions Method and Parallel Computations to the Solution of 2D Elliptic Boundary Value Problems","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1538926230","doi":"https://doi.org/10.1007/978-3-540-69384-0_107","mag":"1538926230"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-69384-0_107","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-69384-0_107","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5014858952","display_name":"Marcin Detka","orcid":"https://orcid.org/0000-0003-2652-9271"},"institutions":[{"id":"https://openalex.org/I169109204","display_name":"Kielce University of Technology","ror":"https://ror.org/01zywja13","country_code":"PL","type":"education","lineage":["https://openalex.org/I169109204"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marcin Detka","raw_affiliation_strings":["Chair of Applied Computer Science, Kielce University of Technology, Al. Tysi\u0105clecia Pa\u0144stwa Polskiego 7, 25-314, Kielce, Poland","Chair of Applied Computer Science, Kielce University of Technology, Kielce, Poland 25-314#TAB#"],"affiliations":[{"raw_affiliation_string":"Chair of Applied Computer Science, Kielce University of Technology, Al. Tysi\u0105clecia Pa\u0144stwa Polskiego 7, 25-314, Kielce, Poland","institution_ids":["https://openalex.org/I169109204"]},{"raw_affiliation_string":"Chair of Applied Computer Science, Kielce University of Technology, Kielce, Poland 25-314#TAB#","institution_ids":["https://openalex.org/I169109204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114000071","display_name":"Czes\u0142aw Cicho\u0144","orcid":null},"institutions":[{"id":"https://openalex.org/I169109204","display_name":"Kielce University of Technology","ror":"https://ror.org/01zywja13","country_code":"PL","type":"education","lineage":["https://openalex.org/I169109204"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Czes\u0142aw Cicho\u0144","raw_affiliation_strings":["Chair of Applied Computer Science, Kielce University of Technology, Al. Tysi\u0105clecia Pa\u0144stwa Polskiego 7, 25-314, Kielce, Poland","Chair of Applied Computer Science, Kielce University of Technology, Kielce, Poland 25-314#TAB#"],"affiliations":[{"raw_affiliation_string":"Chair of Applied Computer Science, Kielce University of Technology, Al. Tysi\u0105clecia Pa\u0144stwa Polskiego 7, 25-314, Kielce, Poland","institution_ids":["https://openalex.org/I169109204"]},{"raw_affiliation_string":"Chair of Applied Computer Science, Kielce University of Technology, Kielce, Poland 25-314#TAB#","institution_ids":["https://openalex.org/I169109204"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014858952"],"corresponding_institution_ids":["https://openalex.org/I169109204"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19321429,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1022","last_page":"1031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/boundary-value-problem","display_name":"Boundary value problem","score":0.7819235920906067},{"id":"https://openalex.org/keywords/poincar\u00e9\u2013steklov-operator","display_name":"Poincar\u00e9\u2013Steklov operator","score":0.6198252439498901},{"id":"https://openalex.org/keywords/method-of-fundamental-solutions","display_name":"Method of fundamental solutions","score":0.5764020085334778},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.521796464920044},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.517245352268219},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.5045377016067505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49934911727905273},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49933505058288574},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.4967852234840393},{"id":"https://openalex.org/keywords/elliptic-boundary-value-problem","display_name":"Elliptic boundary value problem","score":0.4792249798774719},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4727146327495575},{"id":"https://openalex.org/keywords/boundary-knot-method","display_name":"Boundary knot method","score":0.45445773005485535},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44969967007637024},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4473412334918976},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.4380955696105957},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4363476037979126},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4322676956653595},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.4307704567909241},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41007739305496216},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.40841591358184814},{"id":"https://openalex.org/keywords/robin-boundary-condition","display_name":"Robin boundary condition","score":0.4049164354801178},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3987731337547302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39174607396125793},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3800637125968933},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20335814356803894},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.060553550720214844}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.7819235920906067},{"id":"https://openalex.org/C65826597","wikidata":"https://www.wikidata.org/wiki/Q17099589","display_name":"Poincar\u00e9\u2013Steklov operator","level":5,"score":0.6198252439498901},{"id":"https://openalex.org/C48395688","wikidata":"https://www.wikidata.org/wiki/Q6823714","display_name":"Method of fundamental solutions","level":5,"score":0.5764020085334778},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.521796464920044},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.517245352268219},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.5045377016067505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49934911727905273},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49933505058288574},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.4967852234840393},{"id":"https://openalex.org/C94242865","wikidata":"https://www.wikidata.org/wiki/Q5365788","display_name":"Elliptic boundary value problem","level":4,"score":0.4792249798774719},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4727146327495575},{"id":"https://openalex.org/C52890695","wikidata":"https://www.wikidata.org/wiki/Q4949966","display_name":"Boundary knot method","level":4,"score":0.45445773005485535},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44969967007637024},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4473412334918976},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.4380955696105957},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4363476037979126},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4322676956653595},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.4307704567909241},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41007739305496216},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.40841591358184814},{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.4049164354801178},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3987731337547302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39174607396125793},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3800637125968933},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20335814356803894},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.060553550720214844},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-69384-0_107","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-69384-0_107","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1539648769","https://openalex.org/W1985798361","https://openalex.org/W2110275090"],"related_works":["https://openalex.org/W2363671358","https://openalex.org/W2005441184","https://openalex.org/W2057804180","https://openalex.org/W2950745545","https://openalex.org/W3023872989","https://openalex.org/W2164242665","https://openalex.org/W1974382392","https://openalex.org/W1499757726","https://openalex.org/W2100597757","https://openalex.org/W4291669477"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
