-
3
-
-
2842547280
-
Overview and applications of the reproducing Kernel particle methods
-
WK Liu Y Chen S Jun JS Chen T Belytschko C Pan RA Uras CT Chang 1996 Overview and applications of the reproducing kernel particle methods Arch Comput Methods Eng 3 3 80 10.1007/BF02736130 1379414 (Pubitemid 126481811)
-
(1996)
Archives of Computational Methods in Engineering
, vol.3
, Issue.1
, pp. 3-80
-
-
Liu, W.K.1
Chen, Y.2
Jun, S.3
Chen, J.S.4
Belytschko, T.5
Pan, C.6
Uras, R.A.7
Chang, C.T.8
-
5
-
-
0000969263
-
Meshfree and particle methods and their applications
-
DOI 10.1115/1.1431547
-
S Li WK Liu 2002 Meshfree particle methods and their applications Appl Mech Rev 55 1 34 10.1115/1.1431547 (Pubitemid 40210956)
-
(2002)
Applied Mechanics Reviews
, vol.55
, Issue.1
, pp. 1-34
-
-
Li, S.1
Liu, W.K.2
-
7
-
-
0023165466
-
An introduction to SPH
-
10.1016/0010-4655(88)90026-4 0673.76089
-
JJ Monaghan 1988 An introduction to SPH Comput Phys Commun 48 89 96 10.1016/0010-4655(88)90026-4 0673.76089
-
(1988)
Comput Phys Commun
, vol.48
, pp. 89-96
-
-
Monaghan, J.J.1
-
8
-
-
0001765873
-
A numerical approach to testing the fission hypothesis
-
10.1086/112164
-
L Lucy 1977 A numerical approach to testing the fission hypothesis Astron J 82 1013 1024 10.1086/112164
-
(1977)
Astron J
, vol.82
, pp. 1013-1024
-
-
Lucy, L.1
-
10
-
-
1942457663
-
Hermite-Cloud: A novel true meshless method
-
10.1007/s00466-003-0497-1 1061.65128 2031901
-
H Li TY Ng JQ Cheng KY Lam 2003 Hermite-Cloud: a novel true meshless method Comput Mech 33 30 41 10.1007/s00466-003-0497-1 1061.65128 2031901
-
(2003)
Comput Mech
, vol.33
, pp. 30-41
-
-
Li, H.1
Ng, T.Y.2
Cheng, J.Q.3
Lam, K.Y.4
-
11
-
-
0035440759
-
A finite point method for elasticity problems
-
DOI 10.1016/S0045-7949(01)00067-0, PII S0045794901000670
-
E Õnate F Perazzo J Miquel 2001 A finite point method for elasticity problems Comput Struct 79 2151 2163 10.1016/S0045-7949(01)00067-0 (Pubitemid 32997757)
-
(2001)
Computers and Structures
, vol.79
, Issue.22-25
, pp. 2151-2163
-
-
Oate, E.1
Perazzo, F.2
Miquel, J.3
-
12
-
-
67349230314
-
The generalized finite point method
-
10.1007/s00466-009-0363-x 1165.74047 2507802
-
B Boroomand M Najjar E Õnate 2009 The generalized finite point method Comput Mech 44 173 190 10.1007/s00466-009-0363-x 1165.74047 2507802
-
(2009)
Comput Mech
, vol.44
, pp. 173-190
-
-
Boroomand, B.1
Najjar, M.2
Õnate, E.3
-
13
-
-
33744784270
-
Point interpolation collocation method for the solution of partial differential equations
-
DOI 10.1016/j.enganabound.2005.12.003, PII S0955799705002353
-
X Liu K Tai 2006 Point interpolation collocation method for the solution of partial differential equations Eng Anal Bound Elem 30 598 609 10.1016/j.enganabound.2005.12.003 1195.65178 (Pubitemid 43831620)
-
(2006)
Engineering Analysis with Boundary Elements
, vol.30
, Issue.7
, pp. 598-609
-
-
Liu, X.1
Tai, K.2
-
15
-
-
0034294250
-
Meshless methods based on collocation with radial basis functions
-
10.1007/s004660000181 0986.74079
-
X Zhang KZ Song MW Lu X Liu 2000 Meshless methods based on collocation with radial basis functions Comput Mech 26 333 343 10.1007/s004660000181 0986.74079
-
(2000)
Comput Mech
, vol.26
, pp. 333-343
-
-
Zhang, X.1
Song, K.Z.2
Lu, M.W.3
Liu, X.4
-
16
-
-
16344373076
-
Development of a new meshless - Point weighted least-squares (PWLS) method for computational mechanics
-
DOI 10.1007/s00466-004-0611-z
-
QX Wang H Li KY Lam 2005 Development of a new meshless-point weighted least squares (PWLS) method for computational mechanics Comput Mech 35 170 181 10.1007/s00466-004-0611-z 1143.65397 2124595 (Pubitemid 40466905)
-
(2005)
Computational Mechanics
, vol.35
, Issue.3
, pp. 170-181
-
-
Wang, Q.X.1
Li, H.2
Lam, K.Y.3
-
17
-
-
0033895789
-
Point collocation method based on reproducing kernel approximations
-
DOI 10.1002/(SICI)1097-0207(20000228)47:6<1083::AID-NME816>3.0. CO;2-N
-
NR Aluru 2000 A point collocation method based on reproducing kernel approximations Int J Numer Methods Eng 47 1083 1121 10.1002/(SICI)1097- 0207(20000228)47:6<1083::AID-NME816>3.0.CO;2-N 0960.74078 (Pubitemid 30542455)
-
(2000)
International Journal for Numerical Methods in Engineering
, vol.47
, Issue.6
, pp. 1083-1121
-
-
Aluru, N.R.1
-
18
-
-
58149525838
-
A meshfree DRK-based collocation method for the coupled analysis of functionally graded magneto-electro-elastic shells and plates
-
1153.74381 2477756
-
CP Wu KH Chiu YM Wang 2008 A meshfree DRK-based collocation method for the coupled analysis of functionally graded magneto-electro-elastic shells and plates Comput Model Eng Sci 35 181 214 1153.74381 2477756
-
(2008)
Comput Model Eng Sci
, vol.35
, pp. 181-214
-
-
Wu, C.P.1
Chiu, K.H.2
Wang, Y.M.3
-
19
-
-
77449086799
-
A DRK interpolation-based collocation method for the analysis of functionally graded piezoelectric hollow cylinders under electro-mechanical loads
-
CP Wu JS Wang YM Wang 2009 A DRK interpolation-based collocation method for the analysis of functionally graded piezoelectric hollow cylinders under electro-mechanical loads Comput Model Eng Sci 52 1 37
-
(2009)
Comput Model Eng Sci
, vol.52
, pp. 1-37
-
-
Wu, C.P.1
Wang, J.S.2
Wang, Y.M.3
-
20
-
-
77956097399
-
A meshless collocation method based on the differential reproducing kernel approximation
-
2683395
-
SW Yang YM Wang CP Wu HT Hu 2010 A meshless collocation method based on the differential reproducing kernel approximation Comput Model Eng Sci 60 1 39 2683395
-
(2010)
Comput Model Eng Sci
, vol.60
, pp. 1-39
-
-
Yang, S.W.1
Wang, Y.M.2
Wu, C.P.3
Hu, H.T.4
-
21
-
-
77951768619
-
A meshless collocation method based on the differential reproducing kernel interpolation
-
10.1007/s00466-010-0472-6 05695475 2607181
-
YM Wang SM Chen CP Wu 2010 A meshless collocation method based on the differential reproducing kernel interpolation Comput Mech 45 585 606 10.1007/s00466-010-0472-6 05695475 2607181
-
(2010)
Comput Mech
, vol.45
, pp. 585-606
-
-
Wang, Y.M.1
Chen, S.M.2
Wu, C.P.3
-
22
-
-
0029102512
-
Reproducing kernel particle methods
-
10.1002/fld.1650200824 0881.76072 1333917
-
WK Liu S Jun YF Zhang 1995 Reproducing kernel particle methods Int J Numer Methods Fluids 20 1081 1106 10.1002/fld.1650200824 0881.76072 1333917
-
(1995)
Int J Numer Methods Fluids
, vol.20
, pp. 1081-1106
-
-
Liu, W.K.1
Jun, S.2
Zhang, Y.F.3
-
24
-
-
0031119696
-
Moving least-square reproducing kernel methods (I) methodology and convergence
-
PII S0045782596011322
-
WK Liu S Li T Belytschko 1997 Moving least-square reproducing kernel methods (I) methodology and convergence Comput Methods Appl Mech Eng 143 113 154 10.1016/S0045-7825(96)01132-2 0883.65088 1442392 (Pubitemid 127411648)
-
(1997)
Computer Methods in Applied Mechanics and Engineering
, vol.143
, Issue.1-2
, pp. 113-154
-
-
Liu, W.-K.1
Li, S.2
Belytschko, T.3
-
25
-
-
0030413959
-
Moving least-square reproducing kernel method Part II: Fourier analysis
-
PII S0045782596010821
-
S Li WK Liu 1996 Moving least-square reproducing kernel method (II) Fourier analysis Comput Methods Appl Mech Eng 139 159 193 10.1016/S0045-7825(96) 01082-1 0883.65089 (Pubitemid 126382696)
-
(1996)
Computer Methods in Applied Mechanics and Engineering
, vol.139
, Issue.1-4
, pp. 159-193
-
-
Li, S.1
Liu, W.K.2
-
26
-
-
0028259955
-
Element-free Galerkin methods
-
10.1002/nme.1620370205 0796.73077 1256818
-
T Belytschko YY Lu L Gu 1994 Element-free Galerkin methods Int J Numer Methods Eng 37 229 256 10.1002/nme.1620370205 0796.73077 1256818
-
(1994)
Int J Numer Methods Eng
, vol.37
, pp. 229-256
-
-
Belytschko, T.1
Lu, Y.Y.2
Gu, L.3
-
27
-
-
0033334001
-
Critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods
-
DOI 10.1007/s004660050457
-
SN Atluri HG Kim JY Cho 1999 A critical assessment of the truly meshless local Petro-Galerkin (MLPG) and local boundary integral equation (LBIE) methods Comput Mech 22 348 372 10.1007/s004660050457 (Pubitemid 30546709)
-
(1999)
Computational Mechanics
, vol.24
, Issue.5
, pp. 348-372
-
-
Atluri, S.N.1
Kim, H.-G.2
Cho, J.Y.3
-
28
-
-
0032136132
-
A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
-
SN Atluri T Zhu 1998 A new meshless local Petro-Galerkin (MLPG) approach in computational mechanics Comput Mech 22 117 127 10.1007/s004660050346 0932.76067 1649420 (Pubitemid 128620889)
-
(1998)
Computational Mechanics
, vol.22
, Issue.2
, pp. 117-127
-
-
Atluri, S.N.1
Zhu, T.2
-
29
-
-
0035112642
-
A point interpolation method for two-dimensional solids
-
DOI 10.1002/1097-0207(20010210)50:4<937::AID-NME62>3.0.CO;2-X
-
GR Liu YT Gu 2001 A point interpolation method for two-dimensional solids Int J Numer Methods Eng 50 937 951 10.1002/1097-0207(20010210)50:4<937::AID- NME62>3.0.CO;2-X 1050.74057 (Pubitemid 32192399)
-
(2001)
International Journal for Numerical Methods in Engineering
, vol.50
, Issue.4
, pp. 937-951
-
-
Liu, G.R.1
Gu, Y.T.2
-
30
-
-
0035800453
-
A local point interpolation method for static and dynamic analysis of thin beams
-
DOI 10.1016/S0045-7825(01)00180-3, PII S0045782501001803
-
YT Gu GR Liu 2001 A local point interpolation method for static and dynamic analysis of thin beams Comput Methods Appl Mech Eng 190 5515 5528 10.1016/S0045-7825(01)00180-3 1059.74060 (Pubitemid 32774363)
-
(2001)
Computer Methods in Applied Mechanics and Engineering
, vol.190
, Issue.42
, pp. 5515-5528
-
-
Gu, Y.T.1
Liu, G.R.2
-
31
-
-
0027035536
-
Generalizing the finite element method: Diffuse approximation and diffuse elements
-
B Nayroles G Touzot P Villon 1992 Generalizing the finite element method: diffuse approximation and diffuse elements Comput Mech 10 307 318 10.1007/BF00364252 0764.65068 (Pubitemid 23570159)
-
(1992)
Computational Mechanics
, vol.10
, Issue.5
, pp. 307-318
-
-
Nayroles, B.1
Touzot, G.2
Villon, P.3
-
32
-
-
0000882148
-
The method of finite spheres
-
10.1007/s004660050481 0952.65091 1830638
-
S De KJ Bathe 2000 The method of finite spheres Comput Mech 25 329 345 10.1007/s004660050481 0952.65091 1830638
-
(2000)
Comput Mech
, vol.25
, pp. 329-345
-
-
De, S.1
Bathe, K.J.2
-
33
-
-
0031998215
-
Synchronized reproducing kernel interpolant via multiple wavelet expansion
-
S Li WK Liu 1998 Synchronized reproducing kernel interpolant via multiple wavelet expansion Comput Mech 21 28 47 10.1007/s004660050281 0912.76057 1615280 (Pubitemid 128566405)
-
(1998)
Computational Mechanics
, vol.21
, Issue.1
, pp. 28-47
-
-
Li, S.1
Liu, W.K.2
-
34
-
-
0032678421
-
Reproducing kernel hierarchical partition of unity. Part I-formulation and theory
-
10.1002/(SICI)1097-0207(19990530)45:3<251::AID-NME583>3.0.CO;2-I 0945.74079
-
S Li WK Liu 1999 Reproducing kernel hierarchical partition of unity. Part I-formulation and theory Int J Numer Methods Eng 45 251 288 10.1002/(SICI)1097-0207(19990530)45:3<251::AID-NME583>3.0.CO;2-I 0945.74079
-
(1999)
Int J Numer Methods Eng
, vol.45
, pp. 251-288
-
-
Li, S.1
Liu, W.K.2
-
35
-
-
0032686802
-
Reproducing kernel hierarchical partition of unity. Part II-applications
-
10.1002/(SICI)1097-0207(19990530)45:3<289::AID-NME584>3.0.CO;2-P
-
S Li WK Liu 1999 Reproducing kernel hierarchical partition of unity. Part II-applications Int J Numer Methods Eng 45 289 317 10.1002/(SICI)1097- 0207(19990530)45:3<289::AID-NME584>3.0.CO;2-P
-
(1999)
Int J Numer Methods Eng
, vol.45
, pp. 289-317
-
-
Li, S.1
Liu, W.K.2
-
36
-
-
1842523085
-
Reproducing kernel element method. Part I: Theoretical formulation
-
DOI 10.1016/j.cma.2003.12.001, PII S0045782504000040
-
WK Liu W Han H Lu S Li J Cao 2004 Reproducing kernel element method. Part I: theoretical formulation Comput Methods Appl Mech Eng 193 933 951 10.1016/j.cma.2003.12.001 1060.74670 2045509 (Pubitemid 38439201)
-
(2004)
Computer Methods in Applied Mechanics and Engineering
, vol.193
, Issue.12-14
, pp. 933-951
-
-
Liu, W.K.1
Han, W.2
Lu, H.3
Li, S.4
Cao, J.5
-
38
-
-
1842575616
-
Reproducing kernel element method. Part III: Generalized enrichment and applications
-
DOI 10.1016/j.cma.2003.12.003, PII S0045782504000064
-
H Lu S Li DC Simkins WK Liu J Cao 2004 Reproducing kernel element method. Part III: generalized enrichment and applications Comput Methods Appl Mech Eng 193 989 1011 10.1016/j.cma.2003.12.003 1060.74671 (Pubitemid 38439203)
-
(2004)
Computer Methods in Applied Mechanics and Engineering
, vol.193
, Issue.12-14
, pp. 989-1011
-
-
Lu, H.1
Li, S.2
Simkins Jr., D.C.3
Liu, W.K.4
Cao, J.5
-
40
-
-
0030413958
-
Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures
-
PII S0045782596010833
-
JS Chen C Pan CT Wu WK Liu 1996 Reproducing kernel particle methods for large deformation analysis of non-linear structures Comput Methods Appl Mech Eng 139 195 227 10.1016/S0045-7825(96)01083-3 0918.73330 1426009 (Pubitemid 126382697)
-
(1996)
Computer Methods in Applied Mechanics and Engineering
, vol.139
, Issue.1-4
, pp. 195-227
-
-
Chen, J.-S.1
Pan, C.2
Wu, C.-T.3
Liu, W.K.4
-
41
-
-
0031074562
-
Large deformation analysis of rubber based on a reproducing kernel particle method
-
JS Chen C Pan CT Wu 1997 Large deformation analysis of rubber based on a reproducing kernel particle method Comput Mech 19 211 227 10.1007/s004660050170 0888.73073 1443057 (Pubitemid 127565973)
-
(1997)
Computational Mechanics
, vol.19
, Issue.3
, pp. 211-227
-
-
Chen, J.-S.1
Pan, C.2
Wu, C.-T.3
-
42
-
-
0036569498
-
Meshfree method for large deformation analysis-a reproducing kernel particle approach
-
DOI 10.1016/S0141-0296(01)00120-1, PII S0141029601001201
-
KM Liew TY Ng YC Wu 2002 Meshfree method for large deformation analysis-a reproducing kernel particle approach Eng Struct 24 543 551 10.1016/S0141- 0296(01)00120-1 (Pubitemid 34452092)
-
(2002)
Engineering Structures
, vol.24
, Issue.5
, pp. 543-551
-
-
Liew, K.M.1
Ng, T.Y.2
Wu, Y.C.3
-
43
-
-
0037220211
-
Vibration analysis of laminated composite cylindrical panels via a meshfree approach
-
DOI 10.1016/S0020-7683(02)00475-4, PII S0020768302004754
-
X Zhao KM Liew TY Ng 2003 Vibration analysis of laminated composite cylindrical panels via a meshfree approach Int J Solids Struct 40 161 180 10.1016/S0020-7683(02)00475-4 1083.74550 (Pubitemid 36036352)
-
(2003)
International Journal of Solids and Structures
, vol.40
, Issue.1
, pp. 161-180
-
-
Zhao, X.1
Liew, K.M.2
Ng, T.Y.3
-
44
-
-
68949213827
-
The reproducing kernel particle method for two-dimensional unsteady heat conduction problems
-
10.1007/s00466-009-0401-8 05641582 2546589
-
R Cheng KM Liew 2009 The reproducing kernel particle method for two-dimensional unsteady heat conduction problems Comput Mech 45 1 10 10.1007/s00466-009-0401-8 05641582 2546589
-
(2009)
Comput Mech
, vol.45
, pp. 1-10
-
-
Cheng, R.1
Liew, K.M.2
-
45
-
-
0037436517
-
Point collocation methods using the fast moving least-square reproducing kernel approximation
-
DOI 10.1002/nme.618
-
DW Kim Y Kim 2003 Point collocation methods using the fast moving least-square reproducing kernel approximation Int J Numer Methods Eng 56 1445 1464 10.1002/nme.618 1054.76066 (Pubitemid 36339865)
-
(2003)
International Journal for Numerical Methods in Engineering
, vol.56
, Issue.10
, pp. 1445-1464
-
-
Kim, D.W.1
Kim, Y.2
-
46
-
-
44049105412
-
Point collocation mesh-free method using FMLSRKM for solving axisymmetric Laplace equation
-
DOI 10.1109/TMAG.2007.914859, 4526930
-
C Lee DW Kim SH Park HK Kim CH Im HK Jung 2008 Point collocation mesh-free using FMLSRKM for solving axisymmetric Laplace equations IEEE Trans Magn 44 1234 1237 10.1109/TMAG.2007.914859 (Pubitemid 351711413)
-
(2008)
IEEE Transactions on Magnetics
, vol.44
, Issue.6
, pp. 1234-1237
-
-
Lee, C.1
Kim, D.W.2
Park, S.-H.3
Kim, H.-K.4
Im, C.-H.5
Jung, H.-K.6
-
47
-
-
0030294780
-
A finite point method in computational mechanics. Applications to convective transport and fluid flow
-
DOI 10.1002/(SICI)1097-0207(19961130)39:22<3839::AID-NME27>3.0. CO;2-R
-
E Oñate S Idelsohn OC Zienkiewicz RL Taylor 1996 A finite point method in computational mechanics-applications to convective transport and fluid flow Int J Numer Methods Eng 39 3839 3866 10.1002/(SICI)1097-0207(19961130)39: 22<3839::AID-NME27>3.0.CO;2-R 0884.76068 (Pubitemid 27055030)
-
(1996)
International Journal for Numerical Methods in Engineering
, vol.39
, Issue.22
, pp. 3839-3866
-
-
Onate, E.1
Idelsohn, S.2
Zienkiewicz, O.C.3
Taylor, R.L.4
-
49
-
-
0032071696
-
A meshfree finite point method for advective-diffusive transport and fluid flow problems
-
E Oñate S Idelsohn 1988 A meshfree finite point method for advective-diffusive transport and fluid flow problems Comput Mech 21 283 292
-
(1988)
Comput Mech
, vol.21
, pp. 283-292
-
-
Oñate, E.1
Idelsohn, S.2
-
50
-
-
58149380326
-
A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells
-
CP Wu KH Chiu YM Wang 2008 A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells Comput Mater Continua 8 93 132
-
(2008)
Comput Mater Continua
, vol.8
, pp. 93-132
-
-
Wu, C.P.1
Chiu, K.H.2
Wang, Y.M.3
-
51
-
-
79951514319
-
RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates
-
10.1016/j.compstruct.2010.07.001
-
CP Wu KH Chiu YM Wang 2011 RMVT-based meshless collocation and element-free Galerkin methods for the quasi-3D analysis of multilayered composite and FGM plates Compos Struct 93 923 943 10.1016/j.compstruct.2010.07. 001
-
(2011)
Compos Struct
, vol.93
, pp. 923-943
-
-
Wu, C.P.1
Chiu, K.H.2
Wang, Y.M.3
-
52
-
-
0030120864
-
Enforcement of essential boundary conditions in meshless approximations using finite elements
-
Y Krongauz T Belytschko 1996 Enforcement of essential boundary conditions in meshless approximations using finite elements Comput Methods Appl Mech Eng 131 133 145 10.1016/0045-7825(95)00954-X 0881.65098 1393574 (Pubitemid 126393899)
-
(1996)
Computer Methods in Applied Mechanics and Engineering
, vol.131
, Issue.1-2
, pp. 133-145
-
-
Krongauz, Y.1
Belytschko, T.2
|