CONTINUOUS MESH FRAMEWORK PART I: WELL-POSED CONTINUOUS INTERPOLATION ERROR
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density, and stretching of anisotropic meshes. But, such structures are only considered to compute lengths in adaptive mesh generators. In this article, a Riemannian metric space is shown to be more...
Uloženo v:
| Vydáno v: | SIAM journal on numerical analysis Ročník 49; číslo 1/2; s. 38 - 60 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Philadelphia, PA
Society for Industrial and Applied Mathematics
01.01.2011
|
| Témata: | |
| ISSN: | 0036-1429, 1095-7170 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density, and stretching of anisotropic meshes. But, such structures are only considered to compute lengths in adaptive mesh generators. In this article, a Riemannian metric space is shown to be more than a way to compute a length. It is proven to be a reliable continuous mesh model. In particular, we demonstrate that the linear interpolation error can be evaluated continuously on a Riemannian metric space. From one hand, this new continuous framework proves that prescribing a Riemannian metric field is equivalent to the local control in the L 1 norm of the interpolation error. This proves the consistency of classical metric-based mesh adaptation procedures. On the other hand, powerful mathematical tools are available and are well defined on Riemannian metric spaces: calculus of variations, differentiation, optimization, ..., whereas these tools are not defined on discrete meshes. |
|---|---|
| AbstractList | In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density, and stretching of anisotropic meshes. But, such structures are only considered to compute lengths in adaptive mesh generators. In this article, a Riemannian metric space is shown to be more than a way to compute a length. It is proven to be a reliable continuous mesh model. In particular, we demonstrate that the linear interpolation error can be evaluated continuously on a Riemannian metric space. From one hand, this new continuous framework proves that prescribing a Riemannian metric field is equivalent to the local control in the L^sup 1^ norm of the interpolation error. This proves the consistency of classical metric-based mesh adaptation procedures. On the other hand, powerful mathematical tools are available and are well defined on Riemannian metric spaces: calculus of variations, differentiation, optimization,..., whereas these tools are not defined on discrete meshes. [PUBLICATION ABSTRACT] In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density, and stretching of anisotropic meshes. But, such structures are only considered to compute lengths in adaptive mesh generators. In this article, a Riemannian metric space is shown to be more than a way to compute a length. It is proven to be a reliable continuous mesh model. In particular, we demonstrate that the linear interpolation error can be evaluated continuously on a Riemannian metric space. From one hand, this new continuous framework proves that prescribing a Riemannian metric field is equivalent to the local control in the L 1 norm of the interpolation error. This proves the consistency of classical metric-based mesh adaptation procedures. On the other hand, powerful mathematical tools are available and are well defined on Riemannian metric spaces: calculus of variations, differentiation, optimization, ..., whereas these tools are not defined on discrete meshes. In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density, and stretching of anisotropic meshes. But, such structures are only considered to compute lengths in adaptive mesh generators. In this article, a Riemannian metric space is shown to be more than a way to compute a length. It is proven to be a reliable continuous mesh model. In particular, we demonstrate that the linear interpolation error can be evaluated continuously on a Riemannian metric space. From one hand, this new continuous framework proves that prescribing a Riemannian metric field is equivalent to the local control in the L super( 1) norm of the interpolation error. This proves the consistency of classical metric-based mesh adaptation procedures. On the other hand, powerful mathematical tools are available and are well defined on Riemannian metric spaces: calculus of variations, differentiation, optimization,..., whereas these tools are not defined on discrete meshes. |
| Author | LOSEILLE, ADRIEN ALAUZET, FRÉDÉRIC |
| Author_xml | – sequence: 1 givenname: ADRIEN surname: LOSEILLE fullname: LOSEILLE, ADRIEN – sequence: 2 givenname: FRÉDÉRIC surname: ALAUZET fullname: ALAUZET, FRÉDÉRIC |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=24388555$$DView record in Pascal Francis https://hal.science/hal-03167249$$DView record in HAL |
| BookMark | eNpt0VFr2zAQB3AxOlja7WEfYGAGY_TB650kW9LeTOYupm4cHIc-Clm2mYNrd5Yz6LefS0o6yp6ExO-k_-nOyVk_9DUhHxG-ITJxBQpEwEHIN2SBoAJfoIAzsgBgoY-cqnfk3Lk9zHuJbEFultm6SNa7bLf1buPtyrvOo9v4LstvvE2UF17y3buL09TfZNv4h_cPTtZFnG-yNCqSbO3FeZ7l78nbxnSu_vC8XpDddVwsV36a_UyWUepbDmryuS3rCoUQGPKKMksrBbIWWMnQhqqhTVNJyVhQcmwox9IgLzGgtqYllRwouyCXx3t_mU4_jO29GR_1YFq9ilL9dAYMQ0G5-oOz_Xq0D-Pw-1C7Sd-3ztZdZ_p6ODitAEPJ50-a5edXcj8cxn5uREsJECoEOaMvz8g4a7pmNL1t3SkE5UzKIAheItpxcG6smxNB0E-D0qdBzfbqlbXtZKZ26KfRtN1_Kz4dK_ZuGsaX1xmIOYBifwFhxJWE |
| CODEN | SJNAEQ |
| CitedBy_id | crossref_primary_10_1016_j_ast_2024_109512 crossref_primary_10_1016_j_cad_2021_103187 crossref_primary_10_1016_j_amc_2014_12_099 crossref_primary_10_1002_fld_4423 crossref_primary_10_1007_s10915_017_0610_9 crossref_primary_10_3390_math12182933 crossref_primary_10_1016_j_cma_2015_10_012 crossref_primary_10_2514_1_J059158 crossref_primary_10_1016_j_cam_2018_08_053 crossref_primary_10_1016_j_compfluid_2016_03_029 crossref_primary_10_1016_j_jcp_2021_110814 crossref_primary_10_1016_j_jcp_2018_08_048 crossref_primary_10_1016_j_jcp_2018_09_005 crossref_primary_10_1016_j_cad_2019_102750 crossref_primary_10_1016_j_apnum_2016_07_007 crossref_primary_10_1016_j_apenergy_2018_11_070 crossref_primary_10_1080_10618562_2024_2444914 crossref_primary_10_1016_j_cad_2016_09_008 crossref_primary_10_1007_s40722_023_00307_9 crossref_primary_10_1016_j_cad_2023_103575 crossref_primary_10_1137_10078654X crossref_primary_10_1016_j_camwa_2021_12_001 crossref_primary_10_1016_j_apnum_2017_09_015 crossref_primary_10_2514_1_J056965 crossref_primary_10_3390_aerospace8110322 crossref_primary_10_1137_20M1338721 crossref_primary_10_2514_1_J060270 crossref_primary_10_1016_j_jcp_2023_112727 crossref_primary_10_3390_en15238877 crossref_primary_10_1016_j_cma_2019_04_026 crossref_primary_10_1016_j_jcp_2018_09_017 crossref_primary_10_1016_j_compfluid_2021_105154 crossref_primary_10_1016_j_jcp_2024_112941 crossref_primary_10_1016_j_jcp_2024_113238 crossref_primary_10_1016_j_jcp_2022_111578 crossref_primary_10_1016_j_camwa_2016_12_015 crossref_primary_10_1007_s10494_022_00376_0 crossref_primary_10_1016_j_compfluid_2021_105259 crossref_primary_10_1002_fld_4042 crossref_primary_10_1016_j_cad_2021_103168 crossref_primary_10_1007_s00366_018_0607_5 crossref_primary_10_3389_fdgth_2020_613608 crossref_primary_10_1115_1_4069189 crossref_primary_10_1016_j_jcp_2024_113191 crossref_primary_10_5194_gmd_18_4023_2025 crossref_primary_10_1016_j_jcp_2012_05_003 crossref_primary_10_3390_fluids10050129 crossref_primary_10_1016_j_jcp_2018_09_026 crossref_primary_10_1016_j_jcp_2019_02_038 crossref_primary_10_1007_s00366_017_0513_2 crossref_primary_10_1007_s10492_015_0113_7 crossref_primary_10_1016_j_jcp_2024_112774 crossref_primary_10_1016_j_cad_2023_103478 crossref_primary_10_1007_s00366_021_01435_2 crossref_primary_10_1016_j_jcp_2018_07_044 crossref_primary_10_1016_j_compfluid_2021_105245 crossref_primary_10_1016_j_jcp_2013_09_008 crossref_primary_10_1016_j_ocemod_2013_10_003 crossref_primary_10_1016_j_jcp_2016_07_008 crossref_primary_10_2514_1_J060098 crossref_primary_10_1016_j_proeng_2017_09_792 crossref_primary_10_1145_2461912_2461946 crossref_primary_10_2514_1_J060088 crossref_primary_10_1007_s00366_016_0469_7 crossref_primary_10_1016_j_cad_2023_103515 crossref_primary_10_1080_10618562_2024_2317737 crossref_primary_10_1016_j_ast_2025_110703 crossref_primary_10_1016_j_proeng_2017_09_800 crossref_primary_10_1002_fld_5278 crossref_primary_10_1007_s00158_019_02305_8 crossref_primary_10_1134_S0965542522080127 crossref_primary_10_1007_s00366_024_01994_0 crossref_primary_10_1007_s00158_015_1289_x crossref_primary_10_1016_j_cam_2023_115134 crossref_primary_10_2514_1_J058783 crossref_primary_10_1109_TMAG_2023_3289634 crossref_primary_10_1016_j_cad_2023_103667 crossref_primary_10_1007_s00211_011_0412_1 crossref_primary_10_1145_2980179_2980245 crossref_primary_10_1016_j_cad_2023_103651 crossref_primary_10_1016_j_jcp_2016_11_029 crossref_primary_10_1016_j_proeng_2015_10_122 crossref_primary_10_1080_10618562_2024_2361717 crossref_primary_10_1016_j_cpc_2020_107729 crossref_primary_10_1016_j_jcp_2020_109855 crossref_primary_10_1016_j_jcp_2020_109620 crossref_primary_10_1016_j_jcp_2021_110340 crossref_primary_10_1016_j_camwa_2023_09_031 crossref_primary_10_1016_j_cad_2021_103136 crossref_primary_10_1016_j_cma_2017_11_019 crossref_primary_10_1016_j_compfluid_2018_07_011 crossref_primary_10_1007_s00158_016_1439_9 crossref_primary_10_1002_fld_4882 crossref_primary_10_1002_fld_4764 crossref_primary_10_1016_j_compfluid_2023_105816 crossref_primary_10_1016_j_cad_2020_102915 crossref_primary_10_1016_j_compfluid_2025_106792 crossref_primary_10_1515_cmam_2022_0205 crossref_primary_10_1016_j_camwa_2023_07_017 crossref_primary_10_1007_s10915_023_02153_1 crossref_primary_10_1016_j_cad_2015_09_005 crossref_primary_10_1016_j_jcp_2024_113389 crossref_primary_10_1016_j_proeng_2014_10_402 crossref_primary_10_1016_j_proeng_2014_10_400 crossref_primary_10_1016_j_compfluid_2015_01_002 crossref_primary_10_1016_j_jcp_2018_06_043 crossref_primary_10_1016_j_jcp_2018_06_048 crossref_primary_10_1515_cmam_2022_0036 crossref_primary_10_1016_j_jcp_2020_109321 crossref_primary_10_1016_j_proeng_2016_11_071 crossref_primary_10_1016_j_cma_2023_116638 |
| Cites_doi | 10.2307/2689983 10.1002/(SICI)1097-0363(19970830)25:4<475::AID-FLD575>3.0.CO;2-6 10.1080/12506559.2000.10511454 10.1002/(SICI)1097-0363(20000330)32:6<725::AID-FLD935>3.0.CO;2-4 10.1016/j.cma.2004.11.019 10.1007/BF01019475 10.1137/S0036142994265292 10.1016/0097-3165(74)90058-2 10.1016/j.jcp.2004.10.024 10.1137/S1064827501398578 10.1016/S0045-7825(00)00294-2 10.1002/nme.977 10.1016/j.apnum.2004.06.007 10.1016/S0045-7825(99)00374-6 10.1137/10078654X 10.1016/j.apnum.2005.03.001 10.1007/s002110100273 10.1002/(SICI)1097-0207(19990410)44:10<1383::AID-NME616>3.0.CO;2-I 10.1002/nme.2788 10.1016/j.cma.2004.11.025 10.1002/fld.642 10.1137/S1064827596305222 10.1017/S001309150007783X |
| ContentType | Journal Article |
| Copyright | Copyright ©2011 Society for Industrial and Applied Mathematics 2015 INIST-CNRS Copyright Society for Industrial and Applied Mathematics 2011 Distributed under a Creative Commons Attribution 4.0 International License |
| Copyright_xml | – notice: Copyright ©2011 Society for Industrial and Applied Mathematics – notice: 2015 INIST-CNRS – notice: Copyright Society for Industrial and Applied Mathematics 2011 – notice: Distributed under a Creative Commons Attribution 4.0 International License |
| DBID | AAYXX CITATION IQODW 3V. 7WY 7WZ 7X2 7XB 87Z 88A 88F 88I 88K 8AL 8FE 8FG 8FH 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS ATCPS AZQEC BBNVY BENPR BEZIV BGLVJ BHPHI CCPQU D1I DWQXO FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- KB. L.- L6V LK8 M0C M0K M0N M1Q M2O M2P M2T M7P M7S MBDVC P5Z P62 PATMY PDBOC PHGZM PHGZT PKEHL PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI PRINS PTHSS PYCSY Q9U 7SC 7U5 8FD H8D L7M L~C L~D 1XC VOOES |
| DOI | 10.1137/090754078 |
| DatabaseName | CrossRef Pascal-Francis ProQuest Central (Corporate) ABI/INFORM Collection ABI/INFORM Global (PDF only) Agricultural Science Collection ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Biology Database (Alumni Edition) Military Database (Alumni Edition) Science Database (Alumni Edition) Telecommunications (Alumni Edition) Computing Database (Alumni Edition) ProQuest SciTech Collection ProQuest Technology Collection ProQuest Natural Science Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) Research Library (Alumni Edition) SciTech Premium Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection Agricultural & Environmental Science Collection ProQuest Central Essentials Biological Science Collection ProQuest Central Business Premium Collection Technology collection Natural Science Collection ProQuest One Community College ProQuest Materials Science Collection ProQuest Central Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student Research Library Prep SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database Materials Science Database ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Biological Science Collection ABI/INFORM Global (OCUL) Agriculture Science Database Computing Database Military Database ProQuest research library Science Database Telecommunications Database Biological Science Database Engineering Database Research Library (Corporate) ProQuest advanced technologies & aerospace journals ProQuest Advanced Technologies & Aerospace Collection Environmental Science Database Materials Science Collection ProQuest Central Premium ProQuest One Academic ProQuest One Academic Middle East (New) ProQuest One Business (UW System Shared) ProQuest One Business (Alumni) 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 Environmental Science Collection ProQuest Central Basic Computer and Information Systems Abstracts Solid State and Superconductivity Abstracts Technology Research Database Aerospace Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Hyper Article en Ligne (HAL) Hyper Article en Ligne (HAL) (Open Access) |
| DatabaseTitle | CrossRef Agricultural Science Database ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection SciTech Premium Collection ProQuest Military Collection ProQuest Central China ABI/INFORM Complete ProQuest Telecommunications ProQuest One Applied & Life Sciences Natural Science Collection Biological Science Collection ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest Biological Science Collection ProQuest One Academic Eastern Edition Agricultural Science Collection ProQuest Technology Collection ProQuest Telecommunications (Alumni Edition) Biological Science Database ProQuest Business Collection Environmental Science Collection ProQuest One Academic UKI Edition Environmental Science Database ProQuest One Academic ProQuest One Academic (New) ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection ProQuest One Academic Middle East (New) Materials Science Collection ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Natural Science Collection ProQuest Biology Journals (Alumni Edition) ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea Agricultural & Environmental Science Collection Materials Science Database ProQuest Research Library ABI/INFORM Complete (Alumni Edition) ProQuest Materials Science Collection ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest Military Collection (Alumni Edition) ProQuest SciTech Collection Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) Aerospace Database Technology Research Database Computer and Information Systems Abstracts – Academic Computer and Information Systems Abstracts Solid State and Superconductivity Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Agricultural Science Database Aerospace Database |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Mathematics |
| EISSN | 1095-7170 |
| EndPage | 60 |
| ExternalDocumentID | oai:HAL:hal-03167249v1 2411603971 24388555 10_1137_090754078 23074389 |
| Genre | Feature |
| GroupedDBID | -DZ -~X .4S .DC 123 2AX 4.4 7WY 7X2 7XC 88I 8CJ 8FE 8FG 8FH 8FL 8G5 AALVN AASXH AAWIL AAYJJ ABAWQ ABBHK ABDBF ABFAN ABJCF ABKAD ABMZU ABPFR ABPQH ABUWG ABXSQ ABYWD ACBEA ACGFO ACGOD ACHJO ACIWK ACMTB ACNCT ACPRK ACTMH ACUBG ACUHS ADBBV ADODI ADULT AENEX AEUPB AFKRA AFRAH AFVYC AFXHP AGLNM AIHAF ALMA_UNASSIGNED_HOLDINGS ALRMG ANXRF ARAPS ARCSS ATCPS AZQEC BBNVY BENPR BEZIV BGLVJ BHPHI BPHCQ CCPQU CS3 CZ9 D1I D1J D1K DQDLB DSRWC DU5 DWQXO EAP EBS ECEWR EDO EJD EMK EST ESX FRNLG GNUQQ GUQSH H13 HCIFZ HQ6 H~9 I-F IPSME JAAYA JAS JBMMH JBZCM JENOY JHFFW JKQEH JLEZI JLXEF JMS JPL JST K6- K60 K6V K6~ K7- KB. KC. L6V LK5 LK8 M0C M0K M1Q M2O M2P M7P M7R M7S N9A P1Q P2P P62 PATMY PDBOC PHGZM PHGZT PQBIZ PQBZA PQQKQ PROAC PTHSS PYCSY RJG RSI SA0 TAE TN5 TUS WH7 YNT ZCG 3EH 3R3 8WZ A6W AAYXX ABUFD AFFHD CITATION DQ2 FEDTE FVMVE HGD HVGLF MVM NHB P0- PQGLB RNS T9H WHG YXE IQODW 3V. 7XB 88A 88K 8AL 8FK JQ2 L.- M0N M2T MBDVC PKEHL PQEST PQUKI PRINS Q9U 7SC 7U5 8FD H8D L7M L~C L~D 1XC VOOES |
| ID | FETCH-LOGICAL-c409t-4cbed1777164d23c2d908e71d86c69f2ffd88335b41f241ba14b152ce2b284023 |
| IEDL.DBID | M1Q |
| ISICitedReferencesCount | 181 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000287696800003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0036-1429 |
| IngestDate | Tue Oct 14 20:40:10 EDT 2025 Sun Nov 09 14:38:53 EST 2025 Fri Jul 25 10:30:56 EDT 2025 Mon Jul 21 09:15:40 EDT 2025 Tue Nov 18 21:39:35 EST 2025 Sat Nov 29 04:29:53 EST 2025 Thu Jun 19 15:12:42 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1/2 |
| Keywords | 65N15 Linear interpolation Grid pattern Metric space Error estimation Optimization method Riemannian metric space anisotropic mesh adaptation interpolation error Numerical approximation optimal interpolation error bound Numerical analysis linear interpolate 65D05 65N50 Variational calculus 65L50 unstructured mesh Mathematical programming continuous mesh optimal interpolation error bound AMS subject classifications. 65D05 |
| Language | English |
| License | CC BY 4.0 Distributed under a Creative Commons Attribution 4.0 International License: http://creativecommons.org/licenses/by/4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c409t-4cbed1777164d23c2d908e71d86c69f2ffd88335b41f241ba14b152ce2b284023 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 |
| ORCID | 0000-0002-7583-3360 |
| OpenAccessLink | https://hal.science/hal-03167249 |
| PQID | 880069108 |
| PQPubID | 666303 |
| PageCount | 23 |
| ParticipantIDs | hal_primary_oai_HAL_hal_03167249v1 proquest_miscellaneous_901684717 proquest_journals_880069108 pascalfrancis_primary_24388555 crossref_primary_10_1137_090754078 crossref_citationtrail_10_1137_090754078 jstor_primary_23074389 |
| PublicationCentury | 2000 |
| PublicationDate | 20110101 2011-01-00 2011 2011-01 |
| PublicationDateYYYYMMDD | 2011-01-01 |
| PublicationDate_xml | – month: 1 year: 2011 text: 20110101 day: 1 |
| PublicationDecade | 2010 |
| PublicationPlace | Philadelphia, PA |
| PublicationPlace_xml | – name: Philadelphia, PA – name: Philadelphia |
| PublicationTitle | SIAM journal on numerical analysis |
| PublicationYear | 2011 |
| Publisher | Society for Industrial and Applied Mathematics |
| Publisher_xml | – name: Society for Industrial and Applied Mathematics |
| References | R4 R5 R6 Compère G. (R9) 2010; 82 R40 Clément P. (R8) 1975; 2 R21 R20 R34 R11 R33 R14 R36 R24 R35 R16 R27 R15 R37 Coupez T. (R10) 2000; 9 R29 R39 Sommerville D. Y. M. (R38) 1923; 41 R1 |
| References_xml | – ident: R37 doi: 10.2307/2689983 – ident: R6 doi: 10.1002/(SICI)1097-0363(19970830)25:4<475::AID-FLD575>3.0.CO;2-6 – volume: 9 start-page: 403 year: 2000 ident: R10 publication-title: Revue Européenne des Éléments Finis doi: 10.1080/12506559.2000.10511454 – ident: R21 doi: 10.1002/(SICI)1097-0363(20000330)32:6<725::AID-FLD935>3.0.CO;2-4 – ident: R27 doi: 10.1016/j.cma.2004.11.019 – ident: R39 doi: 10.1007/BF01019475 – ident: R1 doi: 10.1137/S0036142994265292 – ident: R20 doi: 10.1016/0097-3165(74)90058-2 – ident: R24 doi: 10.1016/j.jcp.2004.10.024 – ident: R35 doi: 10.1137/S1064827501398578 – ident: R34 doi: 10.1016/S0045-7825(00)00294-2 – volume: 2 start-page: 77 year: 1975 ident: R8 publication-title: Revue Française d'Automatique, Inform. et Rech. Opérationnelle – ident: R5 doi: 10.1002/nme.977 – ident: R14 doi: 10.1016/j.apnum.2004.06.007 – ident: R40 doi: 10.1016/S0045-7825(99)00374-6 – ident: R29 doi: 10.1137/10078654X – ident: R11 doi: 10.1016/j.apnum.2005.03.001 – ident: R15 doi: 10.1007/s002110100273 – ident: R33 doi: 10.1002/(SICI)1097-0207(19990410)44:10<1383::AID-NME616>3.0.CO;2-I – volume: 82 start-page: 843 issn: 0029-5981 year: 2010 ident: R9 publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.2788 – ident: R16 doi: 10.1016/j.cma.2004.11.025 – ident: R36 doi: 10.1002/fld.642 – ident: R4 doi: 10.1137/S1064827596305222 – volume: 41 start-page: 49 year: 1923 ident: R38 publication-title: in Proc. Edinb. Math. Soc. (2) doi: 10.1017/S001309150007783X |
| SSID | ssj0003813 |
| Score | 2.448119 |
| Snippet | In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density, and stretching of anisotropic meshes. But, such... |
| SourceID | hal proquest pascalfrancis crossref jstor |
| SourceType | Open Access Repository Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 38 |
| SubjectTerms | Adaptation Analysis of PDEs Approximations and expansions Calculus of variations and optimal control Density Error analysis Errors Euclidean space Exact sciences and technology Finite element method General topology Interpolation Linear interpolation Mathematical analysis Mathematical duality Mathematical functions Mathematical models Mathematics Metric space Numerical analysis Numerical analysis. Scientific computation Numerical approximation Sciences and techniques of general use Studies Symmetry Tensors Tetrahedrons Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Unit ball Vertices |
| Title | CONTINUOUS MESH FRAMEWORK PART I: WELL-POSED CONTINUOUS INTERPOLATION ERROR |
| URI | https://www.jstor.org/stable/23074389 https://www.proquest.com/docview/880069108 https://www.proquest.com/docview/901684717 https://hal.science/hal-03167249 |
| Volume | 49 |
| WOSCitedRecordID | wos000287696800003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVPQU databaseName: AAdvanced Technologies & Aerospace Database (subscription) customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: P5Z dateStart: 19660101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: ABI/INFORM Global customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: M0C dateStart: 19660101 isFulltext: true titleUrlDefault: https://search.proquest.com/abiglobal providerName: ProQuest – providerCode: PRVPQU databaseName: Agriculture Science Database customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: M0K dateStart: 19660101 isFulltext: true titleUrlDefault: https://search.proquest.com/agriculturejournals providerName: ProQuest – providerCode: PRVPQU databaseName: Biological Science Database customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: M7P dateStart: 19640101 isFulltext: true titleUrlDefault: http://search.proquest.com/biologicalscijournals providerName: ProQuest – providerCode: PRVPQU databaseName: Computer Science Database customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: K7- dateStart: 19660101 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database (subscription) customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: M7S dateStart: 19640101 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: Environmental Science Database customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: PATMY dateStart: 19660101 isFulltext: true titleUrlDefault: http://search.proquest.com/environmentalscience providerName: ProQuest – providerCode: PRVPQU databaseName: Materials Science Database customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: KB. dateStart: 19660101 isFulltext: true titleUrlDefault: http://search.proquest.com/materialsscijournals providerName: ProQuest – providerCode: PRVPQU databaseName: Military Database customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: M1Q dateStart: 19640101 isFulltext: true titleUrlDefault: https://search.proquest.com/military providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest ABI/INFORM Collection customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: 7WY dateStart: 19660101 isFulltext: true titleUrlDefault: https://www.proquest.com/abicomplete providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: BENPR dateStart: 19660101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Research Library (subscription) customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: M2O dateStart: 19640101 isFulltext: true titleUrlDefault: https://search.proquest.com/pqrl providerName: ProQuest – providerCode: PRVPQU databaseName: Science Database customDbUrl: eissn: 1095-7170 dateEnd: 20140531 omitProxy: false ssIdentifier: ssj0003813 issn: 0036-1429 databaseCode: M2P dateStart: 19640101 isFulltext: true titleUrlDefault: https://search.proquest.com/sciencejournals providerName: ProQuest |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Nb9NAEB2RlgMcKBQqTCFaIQ5cDLZr79pcUBocpUr9gZOoLRfL3rVFpSopddrfz8zaMVQgLkjRKMmOoijjnXmznrwH8M7lPoLoMjB5ybFBcWuSeSmUafOaW4XkThW0YhMijv3z8yDtZnOabqxymxN1olZrSWfkH_E6szjWNv_z9Q-TRKPo5mqnoDGAXcTJAVHnR_bXPhFjMeo5d23Mux2xkE2UPtgTEvWcf68cDb7TMGQ7l0hDkkWDv1PdClz8kat1AZrs_edXfwpPOuTJRu2l8gweVKt92OtQKOv2eLMPj6OeybV5DrNxEi9O4mWynLMonE_ZJBtF4VmSzViKWJidfGJ09mWmyTz8wn5z1ly7aXKqz8BYmGVJ9gKWk3AxnpqdAIMpse3bmK4sK2ULQT2Vco6kowLLr4StfC55UDt1rUir2Ctdu0YkUBa2WyIekJVTYtVDNHAAO6v1qnoJTEq_lrIS2O4o11OyVLLgpahVVRfcKZUB77dxyGXHTk4iGVe57lKORN6HzIC3vet1S8nxVycMZr9OJNrT0WlO71n053_sOu9sAw50rHs3moonOXgDhveC_8sBV33P8ww43IY67zZ9k_dxNoD1q7hb6RZMsarWt02O6IsTHhCv_vkBh_CoPbumx2vY2dzcVm_gobzbXDY3QxiIs4sh7B6HcZrhq5kwyR5_QBtZY21nQ70XyDqJtqm2C7JCPxdztKn37SeHhQgu |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Nb9NAEB2VggQcKBQqTKGsEEhcLGLH3rWREIpaR4mc2FE-RG_G-2GBhJJSp0X8KP4jM_6CCsStB6ScsqNIyb59M7OevAfw0uMBFtEytLnk2KB4Bdm85Np2eMF7ueKuCWuzCZEkwelpONuBH-1_YWissuXEiqj1RtEd-RvEWY9jbgven321yTSKHq62Dho1KmLz_Rt2bOW78Qlu7yvXHUbL45HdmArYCluZre0pabQjBPUJ2u0rV4e9wAhHB1zxsHCLQpP_ri89p8DsJnPHk5jjlHElMnmlc4CMf9PrB4KOVSzsjvgx-XUavw7yfCNk5JCEEPagJHUXXEl_Nz7R8GU9B0lDmXmJ-1LUhhp_5IYq4Q33_rOf6j7cayprNqiPwgPYMet92GuqbNZwWLkPd6edUm35EOLjNFmOk1W6WrBptBix4XwwjT6k85jNsNZn47eM7vbsWbqITthvwZWW8CydVHd8LJrP0_kjWF3LFzyA3fVmbR4DUyoolDIC2znt-VpJrXIuRaFNkXNXagtet_ueqUZ9nUxAvmRVF9YXWQcRC150oWe15MhfgxA83TqJhI8Gk4ze65G4AXbVl44FBxW2ujCa-ie7ewuOroDtVwCuBr7vW3DYQitrSK3MOlxZwLpVZCN6xJSvzeaizLC65FTviCf__IDncHu0nE6yyTiJD-FOfU9Pr6ewuz2_MM_glrrcfi7Pj6oTxuDjdeP0JyFLV3k |
| 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=CONTINUOUS+MESH+FRAMEWORK+PART+I%3A+WELL-POSED+CONTINUOUS+INTERPOLATION+ERROR&rft.jtitle=SIAM+journal+on+numerical+analysis&rft.au=LOSEILLE%2C+Adrien&rft.au=ALAUZET%2C+Fr%C3%A9d%C3%A9ric&rft.date=2011&rft.pub=Society+for+Industrial+and+Applied+Mathematics&rft.issn=0036-1429&rft.volume=49&rft.issue=1-2&rft.spage=38&rft.epage=60&rft_id=info:doi/10.1137%2F090754078&rft.externalDBID=n%2Fa&rft.externalDocID=24388555 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0036-1429&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0036-1429&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0036-1429&client=summon |