Enrichment and coupling of the finite element and meshless methods
A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element...
Gespeichert in:
| Veröffentlicht in: | International journal for numerical methods in engineering Jg. 48; H. 11; S. 1615 - 1636 |
|---|---|
| Hauptverfasser: | , |
| Format: | Journal Article Verlag |
| Sprache: | Englisch |
| Veröffentlicht: |
Chichester, UK
John Wiley & Sons, Ltd
20.08.2000
Wiley and Sons Wiley |
| Schlagworte: | |
| ISSN: | 0029-5981, 1097-0207 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element mesh with particles. Thus, there is no need to remesh in adaptive refinement processes. In both cases the same formulation is used, convergence is studied and examples are shown. Copyright © 2000 John Wiley & Sons, Ltd. |
|---|---|
| AbstractList | A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element mesh with particles. Thus, there is no need to remesh in adaptive refinement processes. In both cases the same formulation is used, convergence is studied and examples are shown.
Peer Reviewed A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element mesh with particles. Thus, there is no need to remesh in adaptive refinement processes. In both cases the same formulation is used, convergence is studied and examples are shown. Copyright © 2000 John Wiley & Sons, Ltd. A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element mesh with particles. Thus, there is no need to remesh in adaptive refinement processes. In both cases the same formulation is used, convergence is studied and examples are shown. |
| Author | Fernández-Méndez, Sonia Huerta, Antonio |
| Author_xml | – sequence: 1 givenname: Antonio surname: Huerta fullname: Huerta, Antonio email: antonio.huerta@upc.es organization: Departament de Matemàtica Aplicada III, E.T.S. de Ingenieros de Caminos, Canales y Puertos, Universitat Politècnica de Catalunya, Campus Nord, E-08034 Barcelona, Spain – sequence: 2 givenname: Sonia surname: Fernández-Méndez fullname: Fernández-Méndez, Sonia organization: Departament de Matemàtica Aplicada III, E.T.S. de Ingenieros de Caminos, Canales y Puertos, Universitat Politècnica de Catalunya, Campus Nord, E-08034 Barcelona, Spain |
| BackLink | https://hal.science/hal-01428629$$DView record in HAL |
| BookMark | eNqVkdFr2zAQxkXpoGm3_8GP64OzOymy5awMsixtCmkDTUofD1mWZ2-OXSx3W__7yXPmp71MIHQ6vvsdfN85O62b2jJ2hTBFAP4BIYlD4BC_5-CP4nA5U3PEK4xQzueL2y_h_d1KKfFJTGG63H7k4e6ETcaxUzbxmCSUicIzdu7cNwBECWLCPq_qtjTFwdZdoOssMM3Lc1XWX4MmD7rCBnlZl50NbGVHycG6orLO-aIrmsy9ZW9yXTn77vhesMfr1X65Djfbm9vlYhMaCSjCFEFCPsviOLKJTXKV6SyVxsTCakAVyURoTGOZGkCdCF-kikepjLRUOpJWXLDLgVvoip7b8qDbV2p0SevFhvoe4IyriCc_0Gtx0Br3Yqi1xrZGd3_U46e_3hxOmABGys_sjzNt41xr83EJAvU5UG8o9YbS3xxopgiR-hyIfA405ECCgJZb4rTz2KcB-7Os7Ot_Mv-JPHY8ORzIpevsr5Gs2-8Uxd5Aerq_obv1Zne9lg-0F78BFJCo_A |
| Cites_doi | 10.1002/fld.1650211010 10.1002/nme.1620370205 10.1016/S0045-7825(99)00071-7 10.1007/BF00364080 10.1002/fld.1650200824 10.1007/BF02736130 10.1007/BF00369940 10.1115/1.2788993 10.1002/(SICI)1097-0207(19960330)39:6<923::AID-NME887>3.0.CO;2-W 10.1016/S0045-7825(96)90021-3 10.1002/(SICI)1099-1484(200002)5:2<87::AID-CFM86>3.0.CO;2-W 10.1016/0045-7825(94)90056-6 10.1002/(SICI)1097-0207(19991210)46:10<1803::AID-NME725>3.0.CO;2-3 10.1142/S0218202599000117 10.1016/0045-7825(96)00994-2 10.1016/S0045-7825(96)01078-X 10.1016/S0045-7825(96)01132-2 |
| ContentType | Journal Article Publication |
| Contributor | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
| Contributor_xml | – sequence: 1 fullname: Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III – sequence: 2 fullname: Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
| Copyright | Copyright © 2000 John Wiley & Sons, Ltd. info:eu-repo/semantics/openAccess Attribution |
| Copyright_xml | – notice: Copyright © 2000 John Wiley & Sons, Ltd. – notice: info:eu-repo/semantics/openAccess – notice: Attribution |
| DBID | BSCLL AAYXX CITATION XX2 1XC VOOES |
| DOI | 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S |
| DatabaseName | Istex CrossRef Recercat Hyper Article en Ligne (HAL) Hyper Article en Ligne (HAL) (Open Access) |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering Mathematics |
| EISSN | 1097-0207 |
| EndPage | 1636 |
| ExternalDocumentID | oai:HAL:hal-01428629v1 oai_recercat_cat_2072_190168 10_1002_1097_0207_20000820_48_11_1615__AID_NME883_3_0_CO_2_S NME883 ark_67375_WNG_MHLSFH5R_T |
| Genre | article |
| GrantInformation_xml | – fundername: Ministerio de Educación y Cultura funderid: TAP98‐0421 |
| GroupedDBID | -~X .3N .DC .GA .Y3 05W 0R~ 10A 1L6 1OB 1OC 1ZS 31~ 33P 3SF 3WU 4.4 4ZD 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5GY 5VS 66C 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 930 A03 AAESR AAEVG AAHQN AAMMB AAMNL AANHP AANLZ AAONW AASGY AAXRX AAYCA AAZKR ABCQN ABCUV ABIJN ABJNI ACAHQ ACBWZ ACCZN ACGFS ACIWK ACPOU ACRPL ACXBN ACXQS ACYXJ ADBBV ADEOM ADIZJ ADKYN ADMGS ADNMO ADOZA ADXAS ADZMN AEFGJ AEIGN AEIMD AENEX AEUYR AEYWJ AFBPY AFFPM AFGKR AFWVQ AFZJQ AGQPQ AGXDD AGYGG AHBTC AIDQK AIDYY AITYG AIURR AJXKR ALAGY ALMA_UNASSIGNED_HOLDINGS ALUQN ALVPJ AMBMR AMYDB ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BSCLL BY8 CS3 D-E D-F DCZOG DPXWK DR2 DRFUL DRSTM DU5 EBS EJD F00 F01 F04 F5P FEDTE G-S G.N GNP GODZA H.T H.X HBH HGLYW HHY HVGLF HZ~ IX1 J0M JPC KQQ LATKE LAW LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 NF~ O66 O9- OIG P2P P2W P2X P4D Q.N Q11 QB0 QRW R.K RNS ROL RX1 SUPJJ TN5 UB1 V2E VOH W8V W99 WBKPD WIB WIH WIK WLBEL WOHZO WQJ WXSBR WYISQ XG1 XPP XV2 ZY4 ZZTAW ~02 ~A~ ~IA ~WT AAHHS AAYOK ABDEX ABTAH ACCFJ ADZOD AEEZP AEQDE AEUQT AFPWT AIWBW AJBDE RWI RWS WRC AAYXX CITATION O8X .4S 6TJ ABDPE ABEML ACKIV ACSCC AGHNM AI. AIQQE ARCSS GBZZK HF~ M6O PALCI RIWAO RYL SAMSI TUS VH1 XX2 1XC VOOES |
| ID | FETCH-LOGICAL-c5013-b1050f4d776e9e9f8dadb5cc73ea0186593a1b75bc01a9375bb826b56a58a65e3 |
| IEDL.DBID | DRFUL |
| ISICitedReferencesCount | 154 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000088678200005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0029-5981 |
| IngestDate | Tue Oct 14 20:27:21 EDT 2025 Fri Nov 07 13:57:04 EST 2025 Sat Nov 29 01:43:42 EST 2025 Wed Jan 22 16:32:22 EST 2025 Sun Sep 21 06:18:40 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 11 |
| Keywords | meshless method h-p refinement adaptivity finite element method mixed interpolation convergence |
| Language | English |
| License | http://doi.wiley.com/10.1002/tdm_license_1.1 Attribution: http://creativecommons.org/licenses/by |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c5013-b1050f4d776e9e9f8dadb5cc73ea0186593a1b75bc01a9375bb826b56a58a65e3 |
| Notes | ArticleID:NME883 istex:E0DD81E79683F4EB8E8957F196265777DBF20327 ark:/67375/WNG-MHLSFH5R-T Ministerio de Educación y Cultura - No. TAP98-0421 |
| OpenAccessLink | https://hal.science/hal-01428629 |
| PageCount | 22 |
| ParticipantIDs | hal_primary_oai_HAL_hal_01428629v1 csuc_recercat_oai_recercat_cat_2072_190168 crossref_primary_10_1002_1097_0207_20000820_48_11_1615__AID_NME883_3_0_CO_2_S wiley_primary_10_1002_1097_0207_20000820_48_11_1615_AID_NME883_3_0_CO_2_S_NME883 istex_primary_ark_67375_WNG_MHLSFH5R_T |
| PublicationCentury | 2000 |
| PublicationDate | 20 August 2000 |
| PublicationDateYYYYMMDD | 2000-08-20 |
| PublicationDate_xml | – month: 08 year: 2000 text: 20 August 2000 day: 20 |
| PublicationDecade | 2000 |
| PublicationPlace | Chichester, UK |
| PublicationPlace_xml | – name: Chichester, UK |
| PublicationTitle | International journal for numerical methods in engineering |
| PublicationTitleAlternate | Int. J. Numer. Meth. Engng |
| PublicationYear | 2000 |
| Publisher | John Wiley & Sons, Ltd Wiley and Sons Wiley |
| Publisher_xml | – name: John Wiley & Sons, Ltd – name: Wiley and Sons – name: Wiley |
| References | Organ D, Fleming M, Terry T, Belytschko T. Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Computational Mechanics 1996; 18:225-235. Belytschko T, Tabbara M. Dynamic fracture using element-free galerkin methods. International Journal for Numerical Methods in Engineering 1996; 39:923-938. Liu WK, Chen Y. Wavelet and multiple scale reproducing kernel methods. International Journal for Numerical Methods in Fluids 1995; 21:901-931. Fernández-Méndez S, Díez P, Huerta A. Convergence of finite elements enriched with meshless methods. SIAM Journal of Numerical Analysis, submitted. Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics and Engineering 1996; 139:3-47. Belytschko T, Lu YY, Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:229-256. Liu WK, Chen Y, Jun S, Chen JS, Belytschko T, Pan C, Uras RA, Chang CT. Overview and applications of the reproducing Kernel particle methods. Archives of Computational Methods in Engineering, State of the Art Reviews 1996; 3:3-80. Lu YY, Belytschko T, Gu L. A new implementation of the element free Galerkin method. Computer Methods in Applied Mechanics and Engineering 1994; 113:397-414. Hegen D. Element free Galerkin methods in combination with finite element approaches. Computer Methods in Applied Mechanics and Engineering 1996; 135:143-166. Liu WK, Jun S, Zhang YF. Reproducing kernel particle methods. International Journal for Numerical Methods in Fluids 1995; 20:1081-1106. Huerta A, Díez P. Error estimation including pollution assessment for nonlinear finite element analysis. Computer Methods in Applied Mechanics and Engineering 2000; 181:21-41. Díez P, Arroyo M, Huerta A. Adaptivity based on error estimation for viscoplastic softening materials. Mechanics of Cohesive-Frictional Materials 2000; 5:87-112. Liu WK, Belytschko T, Oden JT (eds), Meshless methods. Computer Methods in Applied Mechanics and Engineering 1996; 139:1-440. Liu WK, Uras RA, Chen Y. Enrichment of the finite element method with reproducing Kernel particle method. Journal of Applied Mechanics 1997; 64:861-870. Liu WK, Li S, Belytschko T. Moving least square reproducing kernel methods. (I) Methodology and convergence. Computer Methods in Applied Mechanics and Engineering 1997; 143:113-154. Vila JP. On particle weighted methods and smooth particle hydrodynamics. Mathematical Models and Methods in Applied Sciences 1999; 9:161-209. Huerta A, Rodríguez-Ferran A, Díez P, Sarrate J. Adaptive finite element strategies based on error analysis. International Journal for Numerical Methods in Engineering 1999; 46:1803-1818. Belytschko T, Organ D, Krongauz Y. A coupled finite element-free Galerkin method. Computational Mechanics 1995; 17:186-195. 1995; 20 1994; 113 1996; 18 1996; 39 1995; 17 2000; 5 1997; 64 1997; 143 1995; 21 1998 1999; 46 1997 1994; 37 1996; 135 1996; 3 1996; 139 1999; 9 2000; 181 Belytschko (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB3) 1994; 37 Huerta (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB20) 2000; 181 Huerta (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB21) 1999; 46 Fern ndez-M ndez (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB18) Liu (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB14) 1997; 64 Organ (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB8) 1996; 18 Vila (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB10) 1999; 9 Liu (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB16) 1997; 143 Liu (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB2) 1995; 20 Belytschko (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB6) 1996; 39 Huerta (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB17) Hegen (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB13) 1996; 135 Liu (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB1) 1995; 21 Liu (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB12) 1996; 3 Lu (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB7) 1994; 113 Belytschko (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB5) 1995; 17 Liu (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB15) 1996; 139 D ez (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB19) 2000; 5 Belytschko (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB4) 1997 Kulasegaram (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB9) 1998 Belytschko (10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB11) 1996; 139 |
| References_xml | – reference: Liu WK, Chen Y, Jun S, Chen JS, Belytschko T, Pan C, Uras RA, Chang CT. Overview and applications of the reproducing Kernel particle methods. Archives of Computational Methods in Engineering, State of the Art Reviews 1996; 3:3-80. – reference: Huerta A, Díez P. Error estimation including pollution assessment for nonlinear finite element analysis. Computer Methods in Applied Mechanics and Engineering 2000; 181:21-41. – reference: Liu WK, Uras RA, Chen Y. Enrichment of the finite element method with reproducing Kernel particle method. Journal of Applied Mechanics 1997; 64:861-870. – reference: Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics and Engineering 1996; 139:3-47. – reference: Belytschko T, Organ D, Krongauz Y. A coupled finite element-free Galerkin method. Computational Mechanics 1995; 17:186-195. – reference: Hegen D. Element free Galerkin methods in combination with finite element approaches. Computer Methods in Applied Mechanics and Engineering 1996; 135:143-166. – reference: Liu WK, Jun S, Zhang YF. Reproducing kernel particle methods. International Journal for Numerical Methods in Fluids 1995; 20:1081-1106. – reference: Belytschko T, Tabbara M. Dynamic fracture using element-free galerkin methods. International Journal for Numerical Methods in Engineering 1996; 39:923-938. – reference: Lu YY, Belytschko T, Gu L. A new implementation of the element free Galerkin method. Computer Methods in Applied Mechanics and Engineering 1994; 113:397-414. – reference: Huerta A, Rodríguez-Ferran A, Díez P, Sarrate J. Adaptive finite element strategies based on error analysis. International Journal for Numerical Methods in Engineering 1999; 46:1803-1818. – reference: Belytschko T, Lu YY, Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 1994; 37:229-256. – reference: Díez P, Arroyo M, Huerta A. Adaptivity based on error estimation for viscoplastic softening materials. Mechanics of Cohesive-Frictional Materials 2000; 5:87-112. – reference: Liu WK, Li S, Belytschko T. Moving least square reproducing kernel methods. (I) Methodology and convergence. Computer Methods in Applied Mechanics and Engineering 1997; 143:113-154. – reference: Fernández-Méndez S, Díez P, Huerta A. Convergence of finite elements enriched with meshless methods. SIAM Journal of Numerical Analysis, submitted. – reference: Liu WK, Belytschko T, Oden JT (eds), Meshless methods. Computer Methods in Applied Mechanics and Engineering 1996; 139:1-440. – reference: Vila JP. On particle weighted methods and smooth particle hydrodynamics. Mathematical Models and Methods in Applied Sciences 1999; 9:161-209. – reference: Liu WK, Chen Y. Wavelet and multiple scale reproducing kernel methods. International Journal for Numerical Methods in Fluids 1995; 21:901-931. – reference: Organ D, Fleming M, Terry T, Belytschko T. Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Computational Mechanics 1996; 18:225-235. – volume: 9 start-page: 161 year: 1999 end-page: 209 article-title: On particle weighted methods and smooth particle hydrodynamics publication-title: Mathematical Models and Methods in Applied Sciences – volume: 139 start-page: 1 year: 1996 end-page: 440 article-title: Meshless methods publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 5 start-page: 87 year: 2000 end-page: 112 article-title: Adaptivity based on error estimation for viscoplastic softening materials publication-title: Mechanics of Cohesive‐Frictional Materials – volume: 181 start-page: 21 year: 2000 end-page: 41 article-title: Error estimation including pollution assessment for nonlinear finite element analysis publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 64 start-page: 861 year: 1997 end-page: 870 article-title: Enrichment of the finite element method with reproducing Kernel particle method publication-title: Journal of Applied Mechanics – article-title: Convergence of finite elements enriched with meshless methods publication-title: SIAM Journal of Numerical Analysis – volume: 113 start-page: 397 year: 1994 end-page: 414 article-title: A new implementation of the element free Galerkin method publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 18 start-page: 225 year: 1996 end-page: 235 article-title: Continuous meshless approximations for nonconvex bodies by diffraction and transparency publication-title: Computational Mechanics – volume: 139 start-page: 3 year: 1996 end-page: 47 article-title: Meshless methods: an overview and recent developments publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 135 start-page: 143 year: 1996 end-page: 166 article-title: Element free Galerkin methods in combination with finite element approaches publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 3 start-page: 3 year: 1996 end-page: 80 article-title: Overview and applications of the reproducing Kernel particle methods publication-title: Archives of Computational Methods in Engineering, State of the Art Reviews – volume: 17 start-page: 186 year: 1995 end-page: 195 article-title: A coupled finite element‐free Galerkin method publication-title: Computational Mechanics – volume: 21 start-page: 901 year: 1995 end-page: 931 article-title: Wavelet and multiple scale reproducing kernel methods publication-title: International Journal for Numerical Methods in Fluids – start-page: 304 year: 1997 end-page: 321 – volume: 20 start-page: 1081 year: 1995 end-page: 1106 article-title: Reproducing kernel particle methods publication-title: International Journal for Numerical Methods in Fluids – volume: 39 start-page: 923 year: 1996 end-page: 938 article-title: Dynamic fracture using element‐free galerkin methods publication-title: International Journal for Numerical Methods in Engineering – volume: 143 start-page: 113 year: 1997 end-page: 154 article-title: Moving least square reproducing kernel methods. (I) Methodology and convergence publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 46 start-page: 1803 year: 1999 end-page: 1818 article-title: Adaptive finite element strategies based on error analysis publication-title: International Journal for Numerical Methods in Engineering – volume: 37 start-page: 229 year: 1994 end-page: 256 article-title: Element‐free Galerkin methods publication-title: International Journal for Numerical Methods in Engineering – start-page: 137 year: 1998 end-page: 142 – ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB17 – volume: 21 start-page: 901 year: 1995 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB1 publication-title: International Journal for Numerical Methods in Fluids doi: 10.1002/fld.1650211010 – volume: 37 start-page: 229 year: 1994 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB3 publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620370205 – start-page: 304 volume-title: Computer Plasticity. Fundamentals and Applications year: 1997 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB4 – volume: 181 start-page: 21 year: 2000 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB20 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(99)00071-7 – volume: 17 start-page: 186 year: 1995 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB5 publication-title: Computational Mechanics doi: 10.1007/BF00364080 – volume: 20 start-page: 1081 year: 1995 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB2 publication-title: International Journal for Numerical Methods in Fluids doi: 10.1002/fld.1650200824 – volume: 3 start-page: 3 year: 1996 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB12 publication-title: Archives of Computational Methods in Engineering, State of the Art Reviews doi: 10.1007/BF02736130 – volume: 18 start-page: 225 year: 1996 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB8 publication-title: Computational Mechanics doi: 10.1007/BF00369940 – volume: 64 start-page: 861 year: 1997 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB14 publication-title: Journal of Applied Mechanics doi: 10.1115/1.2788993 – volume: 39 start-page: 923 year: 1996 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB6 publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/(SICI)1097-0207(19960330)39:6<923::AID-NME887>3.0.CO;2-W – volume: 139 start-page: 1 year: 1996 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB15 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(96)90021-3 – volume: 5 start-page: 87 year: 2000 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB19 publication-title: Mechanics of Cohesive-Frictional Materials doi: 10.1002/(SICI)1099-1484(200002)5:2<87::AID-CFM86>3.0.CO;2-W – volume: 113 start-page: 397 year: 1994 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB7 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(94)90056-6 – volume: 46 start-page: 1803 year: 1999 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB21 publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/(SICI)1097-0207(19991210)46:10<1803::AID-NME725>3.0.CO;2-3 – volume: 9 start-page: 161 year: 1999 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB10 publication-title: Mathematical Models and Methods in Applied Sciences doi: 10.1142/S0218202599000117 – volume: 135 start-page: 143 year: 1996 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB13 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(96)00994-2 – volume: 139 start-page: 3 year: 1996 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB11 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(96)01078-X – volume: 143 start-page: 113 year: 1997 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB16 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(96)01132-2 – start-page: 137 volume-title: Simulation of Materials Processing: Theory, Methods and Applications year: 1998 ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB9 – ident: 10.1002/1097-0207(20000820)48:11<1615::AID-NME883>3.0.CO;2-S-BIB18 publication-title: SIAM Journal of Numerical Analysis |
| SSID | ssj0011503 |
| Score | 2.0813422 |
| Snippet | A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where... |
| SourceID | hal csuc crossref wiley istex |
| SourceType | Open Access Repository Index Database Publisher |
| StartPage | 1615 |
| SubjectTerms | Adaptivity Anàlisi numèrica Convergence Elements finits, Mètode dels Engineering Sciences Finite element method h-p refinement Matemàtiques i estadística Mechanics Meshless method Mixed interpolation Mètodes en elements finits Àrees temàtiques de la UPC |
| Title | Enrichment and coupling of the finite element and meshless methods |
| URI | https://api.istex.fr/ark:/67375/WNG-MHLSFH5R-T/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1002%2F1097-0207%2820000820%2948%3A11%3C1615%3A%3AAID-NME883%3E3.0.CO%3B2-S https://recercat.cat/handle/2072/190168 https://hal.science/hal-01428629 |
| Volume | 48 |
| WOSCitedRecordID | wos000088678200005&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: PRVWIB databaseName: Wiley Online Library Full Collection 2020 customDbUrl: eissn: 1097-0207 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0011503 issn: 0029-5981 databaseCode: DRFUL dateStart: 19960101 isFulltext: true titleUrlDefault: https://onlinelibrary.wiley.com providerName: Wiley-Blackwell |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwxV3_axMxFH_MVkR_cDoV6zcOsaKD2y6Xy11Sh9B1rRXabqyb7reQSxM71FZ6bfHP9-XuenPgL4Ig3MHlCHnk5eW9T759AvCKpkFkRRT6ZhJYP9IJ8YWwzCfGMq60tWnO9vlpkIxG_OJCnGzBenMWpuCHqCbcXM_I_bXr4CrN9q9IQ93SqY9gB4fMPAyKWIaj54g7EgLSpB2HZfAbn_bHI3807HJOm7RL94K9znGTHob--AbUQzT5qAb1o9Pe-aBaf0CYRDebQ5jg5BYclJL3K7lvNlLfRrxFyIGT12pdyXpfSHqHcq4FvZrOVhpD2dTtvKy7xvx5HRnnoa23_b-Ucg_ulmDYaxfWex-2zGwHtktg7JVuJ9uBO7-xJmJqWFHNZg_gsDtDVz51k5yemk08PV-5Q8ZfvLn1MJtnLx2q9kyxTT7P8t1k02_o4b3i-uzsIZz3umedvl9eDOFr5m6jSBEUBjaaJElshBGWT9QkZVon1KiA8JgJqkiasFQHRCH-YmmKo6iUxQrtL2aGPoLabD4zj8GLVYIuLLEm4XGkQiWIVkoYB3sQzFDTgOGm5eSPgv9DFkzPYbl4j8qWG1XLiOOQSjolS4kKloWCJZWB7BzLUI4bsOuaX2I4MwutltLRe1cJ92J5WDTCtJg34CUaSSXXZe23B9L9CxxTXhyKNWnA69yGqmxq8dXt1kuY_Dz6IIf9wbjXZ6fyrAEnuen8ZT3-WI3yz5N_X-RTuF2wHTgH_gxqy8XKPIeber28zBYvyn76C6KjMv0 |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwxV1tb9MwED6NFvHygcEAUV4jRBEgZUviOHHKhNR1LZ1Iu2ntYN8sx3XoBLSoaQc_n7skzZjEFyQkpESKI8snn893j98eA7xgieOnke_ZZuKktq9D146ilNuuSblQOk2TnO3zYxwOh-L0NDragB_rszAFP0Q14UY9I_fX1MFpQnrngjWU1k5tRDs4ZhaeUwQzHD77glgI3CbrEJjBb3zaB_v2cNAVgjVZl207253DJtvz7NEVqPtogbwG9f3j3klcLUAgTmLr3SE8Eu412C0l71RyX62lvvZFy3V3SV6rdSHrXSHpLcq5FPVqOltpjGVT2npZp9b8eRka57Gtt_nftHIbbpVw2GoX9nsHNsxsCzZLaGyVjifbgpu_8SZialCRzWZ3Ya87Q2c-pWlOS80mlp6v6JjxZ2ueWpjNSs8IV1um2CifZ_lmsulX9PFWcYF2dg9Oet1xp2-XV0PYmtN9FAnCQif1J2EYmMhEqZioScK1DplRjisCHjHlJiFPtOMqRGA8SXAclfBAoQUG3LD7UJvNZ-YBWIEK0YmFqQlF4CtPRa5WKjIEfBDOMNOAwbrp5PeCAUQWXM9euXyPypZrVUtf4KBKkpKlRAXLQsGSSUd2DqUnRw14Q-0vMaCZhVZLSQTfVYJeLA-LRqAWiAY8Ryup5FLWfjuW9M8hrrzAi87dBrzMjajKphZfaL9eyOWn4Xs56MejXp8fy3EDjnLb-ct6_LEa5Z-H_77IZ3C9Px7EMj4YfngENwruA3Lnj6G2XKzME7iqz5dn2eJp2Wl_ATj-Nu0 |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwxV1bb9MwFLZGiyZ4YDBAhGuEKGJI2eI4TuwyIXW90Im2q9YN9mY5jk0noJ2advDzOU7SjEm8ICEhJVIcWT7y8fE5n2-fEXpFEj80PAw8nfrGC1WMPc4N9bA2lEllTJKzfX4axKMROzvj4w30Y30WpuCHqCbcbM_I_bXt4PoiNXtXrKF27dQDtANjZhb4RTCD4XPILAsBbpC2BTPwDU_rsOONhl3GSIN0ya6_2z5qkIPAm9xA9ZDyCHp0vXPcOx1UCxCAk8h6dwjlDG-i_VLyXiX3zVrqTsiaGO9bec3mlaz3haR3IOda1KupbKUglk3t1su6bc2f16FxHtt6W_9NK3fRnRIOu63Cfu-hDT3bRlslNHZLx5Nto9u_8SZCaliRzWb30UF3Bs58aqc5XTlLXTVf2WPGX9y5cSGba84trnZ1sVE-z_JdZ9Nv4OPd4gLt7AE67XVP2n2vvBrCU9TeR5EALPRNmMZxpLnmhqUyTahSMdHSxyyinEicxDRRPpaAwGiSwDgqoZEEC4yoJg9RbTaf6UfIjWQMTiw2OmZRKAPJsZKSawt8AM4Q7aDhuunERcEAIgqu56Bcvgdli7WqRchgUCWskoUABYtCwYIIX7SPRCAmDnpr219AQNMLJZfCEnxXCftCeVA0ALWIOeglWEkl12bttwbC_vMtV14U8EvsoNe5EVXZ5OKr3a8XU_F59EEM-4NJr0-PxYmDxrnt_GU9_liN8s_jf1_kC7Q57vTE4HD08Qm6VVAfWG_-FNWWi5V-hm6qy-V5tnhe9tlfa2U2aA |
| 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=Enrichment+and+coupling+of+the+finite+element+and+meshless+methods&rft.jtitle=International+journal+for+numerical+methods+in+engineering&rft.au=Huerta%2C+Antonio&rft.au=Fern%C3%A1ndez%E2%80%90M%C3%A9ndez%2C+Sonia&rft.date=2000-08-20&rft.pub=John+Wiley+%26+Sons%2C+Ltd&rft.issn=0029-5981&rft.eissn=1097-0207&rft.volume=48&rft.issue=11&rft.spage=1615&rft.epage=1636&rft_id=info:doi/10.1002%2F1097-0207%2820000820%2948%3A11%3C1615%3A%3AAID-NME883%3E3.0.CO%3B2-S&rft.externalDBID=10.1002%252F1097-0207%252820000820%252948%253A11%253C1615%253A%253AAID-NME883%253E3.0.CO%253B2-S&rft.externalDocID=NME883 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0029-5981&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0029-5981&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0029-5981&client=summon |