Error Bounds for a Fictitious Domain Method with Lagrange Multiplier Treatment on the Boundary for a Dirichlet Problem
In this article we obtain discrete inf-sup conditions and error bounds for a fictitious domain with Lagrange multiplier treatment for the boundary condition on the curved boundary to an elliptic Dirichlet problem with conforming finite elements of degree one on a uniform mesh.[PUBLICATION ABSTRACT]
Saved in:
| Published in: | Japan journal of industrial and applied mathematics Vol. 15; no. 1; pp. 75 - 85 |
|---|---|
| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Heidelberg
Springer Nature B.V
01.02.1998
|
| Subjects: | |
| ISSN: | 0916-7005, 1868-937X |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | In this article we obtain discrete inf-sup conditions and error bounds for a fictitious domain with Lagrange multiplier treatment for the boundary condition on the curved boundary to an elliptic Dirichlet problem with conforming finite elements of degree one on a uniform mesh.[PUBLICATION ABSTRACT] |
|---|---|
| AbstractList | In this article we obtain discrete inf-sup conditions and error bounds for a fictitious domain with Lagrange multiplier treatment for the boundary condition on the curved boundary to an elliptic Dirichlet problem with conforming finite elements of degree one on a uniform mesh.[PUBLICATION ABSTRACT] |
| Author | PAN Tsorng-Whay |
| Author_xml | – sequence: 1 givenname: Tsorng-Whay surname: Pan fullname: Pan, Tsorng-Whay |
| BackLink | https://cir.nii.ac.jp/crid/1570009749910735360$$DView record in CiNii |
| BookMark | eNpFkE1LAzEQhoMo2FYv_oIgnoTVycbNx9HaVoUWBXvwtmSzszayTWo2q_jvXangZd45PLwzPGNy6INHQs4YXDEAeT1dAGdCci0PyIgpoTLN5eshGYFmIpMAxTEZd907wI1QjI3I5zzGEOk09L7uaDOshi6cTS650Hd0FrbGebrCtAk1_XJpQ5fmLRr_hnTVt8ntWoeRriOatEWfaPA0bXDfZ-L3X-PMRWc3LSb6HEPV4vaEHDWm7fD0LyfkZTFf3z1ky6f7x7vbZWZZoVOWY14UmAM2AmuopeIGWS3rCjWiVAYl5o0VtqiYrBquKlY3QhohrQbL-YSc71t3MXz02KXyPfTRDwdLpZjIQeUwQJd7yMbQdRGbchfddvi9ZFD-Si3_pQ7wxR72zpXW_U5WDFpByxutGUhecAH8B-6ydvY |
| Cites_doi | 10.1016/0045-7825(94)90022-1 10.1007/BF03167240 10.1051/m2an/1977110403411 10.1137/0708066 10.1007/978-3-642-61623-5 10.1016/S1570-8659(05)80040-7 10.1007/978-1-4612-3172-1 10.1016/0045-7825(94)90135-X |
| ContentType | Journal Article |
| Copyright | JJIAM Publishing Committee 1998 |
| Copyright_xml | – notice: JJIAM Publishing Committee 1998 |
| DBID | RYH AAYXX CITATION 7XB 8FE 8FG ABJCF AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ L6V M2P M7S P5Z P62 PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/BF03167397 |
| DatabaseName | CiNii Complete CrossRef ProQuest Central (purchase pre-March 2016) ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central ProQuest Technology Collection ProQuest One Community College ProQuest Central ProQuest Central Student SciTech Premium Collection ProQuest Engineering Collection Science Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Central Student Technology Collection ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Engineering Database ProQuest Central Basic ProQuest Science Journals ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection ProQuest One Academic ProQuest One Academic (New) |
| DatabaseTitleList | ProQuest Central Student |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1868-937X |
| EndPage | 85 |
| ExternalDocumentID | 2419703311 10_1007_BF03167397 10010977910 |
| Genre | Feature |
| GroupedDBID | 06D 0R~ 1N0 203 2JN 2KG 2LR 2VQ 30V 4.4 406 408 40D 5GY 67Z 8UJ 95. 96X AABHQ AAHNG AAIAL AAJBT AAJKR AANZL AAPKM AARHV AARTL AASML AAWCG AAYIU AAYQN AAYTO AAYZH AAZMS ABAKF ABBRH ABDBE ABDZT ABECU ABFSG ABFTV ABHLI ABJNI ABJOX ABKCH ABMNI ABMQK ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABXPI ACAOD ACBXY ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACPIV ACSTC ACZOJ ADHIR ADHKG ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETCA AEVLU AEXYK AEZWR AFBBN AFDZB AFHIU AFLOW AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGQPQ AGRTI AGWZB AGYKE AHBYD AHKAY AHPBZ AHSBF AHWEU AHYZX AIAKS AIGIU AILAN AITGF AIXLP AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS AMKLP AMXSW AMYLF ANMIH AOCGG ARMRJ ASPBG ATHPR AVWKF AXYYD AYFIA AYJHY AZFZN BAPOH BGNMA CAG COF CSCUP DDRTE DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG F5P FEDTE FERAY FIGPU FINBP FNLPD FRRFC FSGXE GGCAI GGRSB GJIRD GNWQR GQ7 HF~ HMJXF HRMNR HVGLF HZ~ IKXTQ IWAJR IXD J-C J0Z JBSCW JZLTJ KOV LLZTM M4Y N2Q NPVJJ NQJWS NU0 O9- O93 O9J P19 P2P P9R PT4 PT5 Q2X R89 R9I RHV RNI ROL RSV RYH RZK S27 S3B SHX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE T13 TSG U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W48 WK8 Z45 ZMTXR ~A9 0VY 2.D 2JY 70C AACDK AAOJF AATNV AATVU AAUYE AAYXX ABJCF ABRTQ ACDTI ADKNI AEEGL AESBA AFFHD AFFNX AFFOW AFKRA AFOHR AFQWF AHAVH AHIZY AIIXL ARAPS AZQEC BBWZM BENPR BGLVJ CCPQU CITATION DWQXO GNUQQ H13 HCIFZ M2P M7S NDZJH NF0 O9G O9I PHGZM PHGZT PQGLB PTHSS PUASD RBF RBV RPE S1Z S26 S28 SCLPG SDD SISQX T16 WS9 ZWQNP 7XB 8FE 8FG L6V P62 PKEHL PQEST PQQKQ PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c159t-2e255e20ef6ed0d783ae1d7dbe9ee78ae7e2fc6c5b17bf38b1df67a67c90c33 |
| IEDL.DBID | M2P |
| ISSN | 0916-7005 |
| IngestDate | Wed Sep 17 23:58:34 EDT 2025 Sat Nov 29 03:29:37 EST 2025 Thu Jun 26 21:52:09 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| License | http://www.springer.com/tdm |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c159t-2e255e20ef6ed0d783ae1d7dbe9ee78ae7e2fc6c5b17bf38b1df67a67c90c33 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 |
| PQID | 881620820 |
| PQPubID | 326301 |
| PageCount | 11 |
| ParticipantIDs | proquest_journals_881620820 crossref_primary_10_1007_BF03167397 nii_cinii_1570009749910735360 |
| PublicationCentury | 1900 |
| PublicationDate | 19980201 |
| PublicationDateYYYYMMDD | 1998-02-01 |
| PublicationDate_xml | – month: 02 year: 1998 text: 19980201 day: 01 |
| PublicationDecade | 1990 |
| PublicationPlace | Heidelberg |
| PublicationPlace_xml | – name: Heidelberg |
| PublicationTitle | Japan journal of industrial and applied mathematics |
| PublicationYear | 1998 |
| Publisher | Springer Nature B.V |
| Publisher_xml | – name: Springer Nature B.V |
| References | F. Brezzi (BF03167397_CR1) 1991 R. Glowinski (BF03167397_CR12) 1990 V. Girault (BF03167397_CR8) 1995; 12 J.E. Bussoletti (BF03167397_CR2) 1991 M. Fortin (BF03167397_CR6) 1977; 11 D.P. Young (BF03167397_CR15) 1991; 92 R. Glowinski (BF03167397_CR10) 1994; 112 P. Clément (BF03167397_CR5) 1975; 9 A.H. Schatz (BF03167397_CR13) 1978; 33 R. Glowinski (BF03167397_CR11) 1988 R. Glowinski (BF03167397_CR9) 1994; 111 BF03167397_CR4 V. Girault (BF03167397_CR7) 1986 BF03167397_CR14 B.L. Buzbee (BF03167397_CR3) 1971; 8 |
| References_xml | – volume: 112 start-page: 133 year: 1994 ident: BF03167397_CR10 publication-title: Comput. Meth. Appl. Mech. Eng. doi: 10.1016/0045-7825(94)90022-1 – start-page: 144 volume-title: Domain Decomposition Methods for Partial Differential Equations year: 1988 ident: BF03167397_CR11 – volume: 12 start-page: 487 year: 1995 ident: BF03167397_CR8 publication-title: Japan J. Indust. Appl. Math. doi: 10.1007/BF03167240 – volume: 11 start-page: 341 issue: R3 year: 1977 ident: BF03167397_CR6 publication-title: RAIRO Anal. Numér doi: 10.1051/m2an/1977110403411 – start-page: 263 volume-title: Domain Decomposition Methods for Partial Differential Equations year: 1990 ident: BF03167397_CR12 – volume: 8 start-page: 722 year: 1971 ident: BF03167397_CR3 publication-title: SIAM J. Numer. Anal. doi: 10.1137/0708066 – volume-title: Finite Element Methods for Navier-Stokes Equations year: 1986 ident: BF03167397_CR7 doi: 10.1007/978-3-642-61623-5 – volume: 9 start-page: 77 issue: R2 year: 1975 ident: BF03167397_CR5 publication-title: RAIRO Anal. Numér – volume: 92 start-page: 1 year: 1991 ident: BF03167397_CR15 publication-title: Application to Computational Physics, J. Comput. Phys. – start-page: 49 volume-title: Computer Methods in Applied Sciences and Engineering year: 1991 ident: BF03167397_CR2 – ident: BF03167397_CR14 doi: 10.1016/S1570-8659(05)80040-7 – volume-title: Mixed and Hybrid Finite Element Methods year: 1991 ident: BF03167397_CR1 doi: 10.1007/978-1-4612-3172-1 – volume: 111 start-page: 283 year: 1994 ident: BF03167397_CR9 publication-title: Comput. Meth. Appl. Mech. Eng. doi: 10.1016/0045-7825(94)90135-X – ident: BF03167397_CR4 – volume: 33 start-page: 73 year: 1978 ident: BF03167397_CR13 publication-title: Part 1. Math. of Comput. |
| SSID | ssj0046811 |
| Score | 1.4303033 |
| Snippet | In this article we obtain discrete inf-sup conditions and error bounds for a fictitious domain with Lagrange multiplier treatment for the boundary condition on... |
| SourceID | proquest crossref nii |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 75 |
| SubjectTerms | Dirichlet problem fictitious domain method finite element Finite element analysis inf-sup condition Lagrange multiplier Studies |
| Title | Error Bounds for a Fictitious Domain Method with Lagrange Multiplier Treatment on the Boundary for a Dirichlet Problem |
| URI | https://cir.nii.ac.jp/crid/1570009749910735360 https://www.proquest.com/docview/881620820 |
| Volume | 15 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1868-937X dateEnd: 20151231 omitProxy: false ssIdentifier: ssj0046811 issn: 0916-7005 databaseCode: P5Z dateStart: 19970201 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1868-937X dateEnd: 20151231 omitProxy: false ssIdentifier: ssj0046811 issn: 0916-7005 databaseCode: M7S dateStart: 19970201 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1868-937X dateEnd: 20151231 omitProxy: false ssIdentifier: ssj0046811 issn: 0916-7005 databaseCode: BENPR dateStart: 19970201 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Science Database customDbUrl: eissn: 1868-937X dateEnd: 20151231 omitProxy: false ssIdentifier: ssj0046811 issn: 0916-7005 databaseCode: M2P dateStart: 19970201 isFulltext: true titleUrlDefault: https://search.proquest.com/sciencejournals providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLink Contemporary Journals customDbUrl: eissn: 1868-937X dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0046811 issn: 0916-7005 databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS-RAEC58HfSwu75w1lUa3GuzSTrT3TmJysgedBgcEfES-hXNwUSTUfDfWz3pzCoLe9lLXQJFoCpfVXeqvg_gp44Km0qeUWxdFU11ZqlkjlOXJsplCMod8fzNhRiP5e1tNgmzOW0Yq-wxcQ7Utjb-jvyXlDFPfL06fnqmXjTK_1wNChrLsIqNTewnui6TSQ_EKZdz-V2siJwKzLbP7KR-BZx5rqcP9Wi5Ksu_QHleac6__uc7foMvocUkJ11ObMKSq7Zg43LBz9puw-uoaeqGaK-p1BLsW4kiRdkRF720xNaPqqxIpy5N_FUtuVD3jd9DIGECEaspWQypk7oi6L3zp5q34BHhtDQPmBgkyNbswPR8dH32mwYFBmqwzZnRxOGJwyWRK7izkRWSKRdbYbUPo5DKCZcUhpuhjoUumNSxLbhQXJgsMoztwkpVV24PSJwUkZMu1UbJVGZDZZixGr1xFimTZQM46qOQP3U0G3lPqPwnVgM4wADlpvQ29sz8ER6HsMNFnBoyHg1gv49LHj7FNl8E5fs_n-7Derdu6CdVfsDKrHlxB7BmXmdl2xzC6uloPLk6nCeYt2KKdjK8Q3s1vXkHUkjcEw |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1NT9VAFL1BMFEXIn7EJ6CTqMuJ7bRvZrowxggEwuOFRGJY2cxXpQtabB8YfpN_0ntf24eEhB0LNt00uWk7J-femd57DsAHGxU-1TLjWLoantrMc50EyUMqTMiQlDvh-R8TNZ3q4-PscAn-DrMw1FY5cOKcqH3t6Iz8k9axFJSvvpz95mQaRT9XBweNDhX74fIP7tjaz3tbuLwfhdjZPvq2y3tTAe4wc8-4CFhEBxGFQgYfeaUTE2KvvKUnU9oEFUThpBvbWNki0Tb2hVRGKpdFjk4_ke9XUpIVoz5BcTjQfir13OwX86_kCrF9XQuVBs4TUpb6L_s9qMryRgqY57Wd1Xv1RZ7B0758Zl87vK_BUqiew5ODhfZs-wIutpumbpglv6iWYU3ODCvKTpTpvGW-PjVlxTrnbEbH0GxifjU0Y8H67kqsFNiiAZ_VFcPoXTzTXPYRMVWU7gRBz3pLnpfw_Q5e-xUsV3UVXgOLRREFHVLrjE51NjYucd5iNJlExmXZCN4Pa56fdRIi-SAWfYWMEWwiHHJX0jUm14EIt3pYvSMHjxMZjWB9QEHe00ybLyDw5ta77-DR7tHBJJ_sTffX4XE3VkkdORuwPGvOwyY8dBezsm3eziHN4Ofd4uUfjbQ2Yw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Error+bounds+for+a+fictitious+domain+method+with+Lagrange+multiplier+treatment+on+the+boundary+for+a+Dirichlet+problem&rft.jtitle=Japan+journal+of+industrial+and+applied+mathematics&rft.au=Pan%2C+Tsorng-whay&rft.date=1998-02-01&rft.pub=Springer+Nature+B.V&rft.issn=0916-7005&rft.eissn=1868-937X&rft.volume=15&rft.issue=1&rft.spage=75&rft_id=info:doi/10.1007%2FBF03167397&rft.externalDocID=2419703311 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0916-7005&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0916-7005&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0916-7005&client=summon |